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Page 1: A Textbook of · Engineering Chemistry is an interdisciplinary subject, related to all the fields of Science and Technology that includes Chemical Engineering, Biotechnology, Civil
Page 2: A Textbook of · Engineering Chemistry is an interdisciplinary subject, related to all the fields of Science and Technology that includes Chemical Engineering, Biotechnology, Civil

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A Textbook of

ENGINEERINGCHEMISTRY

[As per VTU Outcome Based Education (OBE)&

Choice Based Credit System (CBCS) Syllabus 2018]

Dr. C. MuthukumarAssociate Professor of Chemistry,

Acharya Institute of Technology, Bangalore.

Dr. Manjunatha D.H.Assistant Professor of Chemistry,

MS Ramaiah Institute of Technology, Bangalore.

Dr. Gurushantha K.Assistant Professor of Chemistry,

East West Institute of Technology, Bangalore.

ISO 9001:2015 CERTIFIED

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© AuthorsNo part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by anymeans, electronic, mechanical, photocopying, recording and/or otherwise without the prior written permission of theauthors and the publisher.

First Edition : 2016Second Revised Edition : 2018

Published by : Mrs. Meena Pandey for Himalaya Publishing House Pvt. Ltd.,“Ramdoot”, Dr. Bhalerao Marg, Girgaon, Mumbai - 400 004.Phone: 022-23860170, 23863863; Fax: 022-23877178E-mail: [email protected]; Website: www.himpub.com

Branch Offices :

New Delhi : “Pooja Apartments”, 4-B, Murari Lal Street, Ansari Road, Darya Ganj, New Delhi - 110 002.Phone: 011-23270392, 23278631; Fax: 011-23256286

Nagpur : Kundanlal Chandak Industrial Estate, Ghat Road, Nagpur - 440 018.Phone: 0712-2738731, 3296733; Telefax: 0712-2721216

Bengaluru : Plot No. 91-33, 2nd Main Road, Seshadripuram, Behind Nataraja Theatre,Bengaluru - 560 020. Phone: 080-41138821; Mobile: 09379847017, 09379847005

Hyderabad : No. 3-4-184, Lingampally, Besides Raghavendra Swamy Matham, Kachiguda,Hyderabad - 500 027. Phone: 040-27560041, 27550139

Chennai : New No. 48/2, Old No. 28/2, Ground Floor, Sarangapani Street, T. Nagar,Chennai - 600 012. Mobile: 09380460419

Pune : “Laksha” Apartment, First Floor, No. 527, Mehunpura, Shaniwarpeth (Near Prabhat Theatre),Pune - 411 030. Phone: 020-24496323, 24496333; Mobile: 09370579333

Lucknow : House No. 731, Shekhupura Colony, Near B.D. Convent School, Aliganj,Lucknow - 226 022. Phone: 0522-4012353; Mobile: 09307501549

Ahmedabad : 114, “SHAIL”, 1st Floor, Opp. Madhu Sudan House, C.G. Road, Navrang Pura,Ahmedabad - 380 009. Phone: 079-26560126; Mobile: 09377088847

Ernakulam : 39/176 (New No. 60/251), 1st Floor, Karikkamuri Road, Ernakulam, Kochi - 682 011.Phone: 0484-2378012, 2378016; Mobile: 09387122121

Bhubaneswar : Plot No. 214/1342, Budheswari Colony, Behind Durga Mandap, Bhubaneswar - 751 006.Phone: 0674-2575129; Mobile: 09338746007

Kolkata : 108/4, Beliaghata Main Road, Near ID Hospital, Opp. SBI Bank, Kolkata - 700 010.Phone: 033-32449649; Mobile: 07439040301

DTP by : Pravin

Printed at : M/s. Aditya Offset Process (I) Pvt. Ltd., Hyderabad. On behalf of HPH.

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Preface

Engineering Chemistry is an interdisciplinary subject, related to all the fields of Science andTechnology that includes Chemical Engineering, Biotechnology, Civil Engineering, MechanicalEngineering, Medical Electronics, Electronics and Communication Engineering, Electrical andElectronics Engineering and so on. Engineering Chemistry plays an inevitable role in providing afundamental as well as broad knowledge of theoretical, applied and experimental chemistry to thebudding engineers to enable them to embark on professional careers of their choice.

It gives us immense joy in bringing forward this book entitled “A Textbook of EngineeringChemistry” which comprises of five modules as per the latest Visvesvaraya TechnologicalUniversity (VTU) Outcome Based Education (OBE) & Choice Based Credit System (CBCS)Syllabus 2018. This book is intended to cater to the needs and aspirations of both Ist and IInd semesterengineering students, and the faculty concerned.

The distinct features of the book are:

Attractive pictures or cartoons which help students to learn with fun Simple and lucid style of writing Linking of topics and sizing according to the scheme of evaluation followed by VTU Highlights of latest developments on all topics with pictures Solved and unsolved problems to enhance problem solving skills Points to remember at the end of each chapter Review questions based on VTU question papers Learning activities for critical thinking and real world problem solving

All these discrete characteristics will enable students to achieve higher levels of learning.

We would be happy to receive any constructive comments and suggestions for improvement.

Authors

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Acknowledgements

It is by the love and blessings of the Almighty that we are able to complete this booksuccessfully hitherto and present this piece of work for which, we are eternally indebted.

We are deeply indebted to the management of Acharya Institute of Technology, Bangalore-107,Ramaiah Institute of Technology, Bangalore-54 and East West Institute of Technology, Bangalore-91for the encouragement and also for providing the necessary facilities.

The authors have a great pleasure in thanking the publisher, Himalaya Publishing House Pvt.Ltd., Mumbai – 400 004 for inviting the authors to write this textbook of Engineering Chemistry.

Writing a technical book needs deep knowledge and intuition into the subject along withreferences from a host of relevant sources followed by consultation with peers from the field.

The authors are thankful to the academicians Dr. Siju N Antony and Dr. Ramdas Balan fortimely suggestions and kind support in accomplishing this book.

We are thankful to the following academicians who have directly or indirectly supported us incompleting this book on time. Mr. Satish K, Dr. Harish MNK, Dr. Brungesh KV and Mr. Shashidhar,Department of Chemistry, Acharya Institute of Technology, Bangalore.

We are also thankful to Prof. BM Nagabhushana, HOD, Prof. BS Durgakeri, Dr. Nagaraju Kottam,Dr. Basappa Yellur, Dr. Murali Krishana, Dr. Malathi Challa, Dr. K Harikrishana, Dr. SharanabasappaPatil Department of Chemistry, Ramaiah Institute of Technology, Bangalore.

We also express sincere gratitude to all our teachers who inspired us to become authors.

Authors

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VTU Syllabus(2018 Scheme)

MODULE-IElectrochemistry and Energy Storage SystemsUse of free energy in chemical equilibria: Thermodynamic functions: Definitions of free energy andentropy. Cell potential, derivation of Nernst equation for single electrode potential, numericalproblems on E, E0, and Ecell.Electrochemical energy systems: Reference electrodes: Introduction, construction, working andapplications of Calomel electrode. Ion-selective electrode- Definition, construction and principle ofGlass electrode and determination of pH using glass electrode. Electrolyte concentration cells,numerical problems.Energy storage systems: Introduction, classification – primary, secondary and reserve batteries.Construction, working and applications of Ni-MH and Li-ion batteries.

MODULE-IICorrosion and Metal FinishingCorrosion: Introduction, Electrochemical theory of corrosion, Factors affecting the rate of corrosion:ratio of anodic to cathodic areas, nature of corrosion product, nature of medium — pH, conductivityand temperature. Types of corrosion — Differential metal and differential aeration — pitting andwater line. Corrosion control: Anodizing — Anodizing of aluminium, Cathodic protection —Sacrificial anode and impressed current methods, Metal coatings — Galvanization.Metal finishing: Introduction, Technological importance. Electroplating: Introduction, principlesgoverning electroplating-Polarization, decomposition potential and overvoltage. Electroplating ofchromium (hard and decorative). Electroless plating: Introduction, electroless plating of nickel andcopper, distinction between electroplating and electroless plating processes.

MODULE-IIIEnergy SystemsChemical Fuels: Introduction, classification, definitions of CV, LCV, and HCV, determination ofcalorific value of solid/liquid fuel using bomb calorimeter, numerical problems. Knocking of petrolengine — Definition, mechanism, ill effects and prevention. Power alcohol, unleaded petrol andbiodiesel.Fuel Cells: Introduction, differences between conventional cell and fuel cell, limitations andadvantages. Construction, working and applications of methanol — oxygen fuel cell with H2SO4,electrolyte, and solid oxide fuel cell (SOFCs).Solar Energy: Photovoltaic cells — Introduction, construction and working of a typical PV cell,Preparation of solar grade silicon by Union Carbide Process/Method. Advantages and disadvantagesof PV cells.

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MODULE-IVEnvironmental Pollution and Water ChemistryEnvironmental Pollution: Air pollutants: Sources, effects and control of primary air pollutants:Carbon monoxide, Oxides of nitrogen and sulphur, hydrocarbons, Particulate matter, Carbonmonoxide, Mercury and Lead. Secondary air pollutant: Ozone, Ozone depletion.Waste Management: Solid waste, e-waste and biomedical waste: Sources, characteristics anddisposal methods. (Scientific land filling, composting, recycling and reuse).Water Chemistry: Introduction, sources and impurities of water; boiler feed water, boiler troubleswith disadvantages-scale and sludge formation, boiler corrosion (due to dissolved O2, CO2 andMgCl2). Sources of water pollution, Sewage, Definitions of Biological Oxygen Demand (BOD) andChemical Oxygen Demand (COD), determination of COD, numerical problems on COD. Chemicalanalysis of water: Sulphates (gravimetry) and Fluorides (colorimetry). Sewage treatment: Primary,secondary (activated sludge) and tertiary methods. Softening of water by ion exchange process.Desalination of sea water by reverse osmosis.

MODULE-VInstrumental Methods of Analysis and NanomaterialsInstrumental methods of analysis: Theory, Instrumentation and applications of Colorimetry, FlamePhotometry, Atomic Absorption Spectroscopy, Potentiometry, Conductometry. (Strong acid with astrong base, weak acid with a strong base, mixture of strong acid and a weak acid with a strong base).Nanomaterials: Introduction, size dependent properties (Surface area, Electrical, Optical, Catalyticand Thermal properties). Synthesis of nanomaterials: Top-down and bottom-up approaches, Synthesisby Sol-gel, precipitation and chemical vapour deposition, Nanoscale materials: Fullerenes, Carbonnanotubes and graphenes-properties and applications.

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Contents

Preface .............................................................................................................................. (iii)Acknowledgements .......................................................................................................... (iv)VTU Syllabus (2018 Scheme) ................................................................................. (v) – (vi)

1. ELECTROCHEMISTRY AND ENERGY STORAGE SYSTEMS ....................... 1 – 421.1 USE OF FREE ENERGY IN CHEMICAL EQUILIBRIA 1

1.1.1 Introduction to Thermodynamics 11.1.2 Thermodynamic Functions 21.1.3 Gibbs Free Energy and Equilibrium 31.1.4 Gibb’s Energy and Electric Energy 4

1.2 ELECTROCHEMISTRY 51.2.1 Introduction 5

1.2.1.1 Construction and Working of Galvanic Cell 51.2.1.2 Origin of Single Electrode Potential 61.2.1.3 Electrochemical Series 7

1.2.2 Nernst Equation for Single Electrode Potential 81.2.3 Nernst Equation for Galvanic Cell 91.2.4 Numerical Problems for Finding E, Eo and Ecell 101.2.5 Types of Electrodes 121.2.6 Reference Electrodes 12

1.2.6.1 Standard Hydrogen Electrode 131.2.6.2 Calomel Electrode 141.2.6.3 Silver-Silver Chloride (Ag-AgCl) Electrode 15

1.2.7 Measurement of Electrode Potential using Calomel Electrode 161.2.8 Electrolyte Concentration Cells 161.2.9 Numerical Problems on Concentration Cells 18

1.2.10 Ion Selective Electrode 191.2.11 Glass Electrode 211.2.12 Determination of pH using Glass Electrode 22

1.3 ENERGY STORAGE SYSTEMS 231.3.1 Introduction 231.3.2 Battery Technology 24

1.3.2.1 Introduction 241.3.2.2 Classification of Batteries 251.3.2.3 Battery Characteristics 25

1.3.3 Construction and Working of Batteries 261.3.3.1 Zn-MnO2 (Leclanche Cell) Battery 26

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1.3.3.2 Nickel-Cadmium (Ni-Cd) Battery 271.3.3.3 Nickel-Metalhydride (Ni-MH) Battery 281.3.3.4 Zinc-Air Battery 291.3.3.5 Lead Acid Battery 301.3.3.6 Lithium Batteries 311.3.3.7 Na-ion Battery 341.3.3.8 Supercapacitors 34

1.3.4 Flow Battery 371.3.5 Flywheels 371.3.6 Compressed Air Energy Storage 381.3.7 Thermal Energy Storage 381.3.8 Pumped Hydropower 38

1.4 POINTS TO REMEMBER 391.5 REVIEW QUESTIONS FROM RECENT VTU PAPERS 401.6 LEARNING ACTIVITY 42

2. CORROSION AND METAL FINISHING ............................................................. 43 – 772.1 CORROSION 43

2.1.1 Introduction 432.1.2 Electrochemical Theory of Corrosion 452.1.3 Factors Affecting the Rate of Corrosion 462.1.4 Galvanic Series 492.1.5 Types of Corrosion 502.1.6 Corrosion Control 56

2.1.6.1 Anodizing of Aluminium 562.1.6.2 Phosphating 572.1.6.3 Galvanizing (Anodic Metal Coating) 582.1.6.4 Tinning (Cathodic Metal Coating) 592.1.6.5 Cathodic Protection 602.1.6.6 Corrosion Inhibitors 61

2.2 METAL FINISHING 622.2.1 Introduction 622.2.2 Electroplating 65

2.2.2.1 Principles Governing Electroplating 672.2.2.2 Factors Influencing the Nature of Electrodeposit 682.2.2.3 Electroplating of Nickel (Watt’s Bath) 692.2.2.4 Electroplating of Chromium (Decorative and Hard) 70

2.2.3 Electroless Plating 722.2.3.1 Distinction between Electroplating and Electroless Plating 722.2.3.2 Electroless Plating of Nickel 722.2.3.3 Electroless Plating of Copper 73

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2.3 POINTS TO REMEMBER 742.4 REVIEW QUESTIONS FROM RECENT VTU PAPERS 762.5 LEARNING ACTIVITY 77

3. ENERGY SYSTEMS .............................................................................................. 78 – 1183.1 ENERGY SYSTEMS 78

3.1.1 Present Status and Projections 783.1.2 Fossil Fuels (Coal, Oil, Natural Gas) 81

3.1.2.1 Introduction 813.1.2.2 Coal 823.1.2.3 Oil 833.1.2.4 Natural Gas 863.1.2.5 Nuclear Energy 86

3.1.3 Renewable Energy 873.1.3.1 Solar Energy 883.1.3.2 Wind Power 883.1.3.3 Hydroelectric Energy 893.1.3.4 Biomass 893.1.3.5 Hydrogen and Fuel Cells 903.1.3.6 Geothermal Power 90

3.2 CHEMICAL FUELS 903.2.1 Introduction 903.2.2 Classification 903.2.3 Calorific Value – Gross and Net Calorific Values 913.2.4 Determination of Calorific Value of Fuel using Bomb Calorimeter 913.2.5 Numerical Problems 923.2.6 Various Constituents of Petroleum 933.2.7 Cracking 943.2.8 Synthesis of Petrol by Fischer-Tropsch Process 953.2.9 Octane Number 95

3.2.10 Reformation of Petrol 963.2.11 Knocking in Petrol Engine 963.2.12 Unleaded Petrol 973.2.13 Cetane Number 983.2.14 Mechanism of Knocking in Diesel Engine 983.2.15 Power Alcohol 983.2.16 Bio Fuels 99

3.2.16.1 Introduction 993.2.16.2 Types of Biofuels 993.2.16.3 Biodiesel 1003.2.16.4 Biogas 1013.2.16.5 Algae Fuel 102

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3.3 FUEL CELLS 1043.3.1 Introduction 1043.3.2 Most Commonly Used Fuel Cells 1053.3.3 Benefits of Fuel Cells at a Glance 1063.3.4 Advantages and Limitations of Fuel Cells 1063.3.5 Difference between Conventional Cells and Fuel Cells 1073.3.6 Methanol-oxygen Fuel Cell with H2SO4 as Electrolyte 107

3.3.6.1 Construction, Working and Applications 1073.3.7 Solid Oxide Fuel Cell (SOFC) 108

3.3.7.1 Construction, Working and Applications 1083.3.7.2 Additional Information on Construction of SOFC 110

3.3.8 Microbial Fuel Cells (MFC) 1103.4 SOLAR ENERGY 111

3.4.1 Introduction 1113.4.2 Utilization and Conversion of Solar Energy 1113.4.3 Photovoltaic Cells 1123.4.4 Design of PV Cells: Modules, Panels and Arrays 1133.4.5 Advantages and Disadvantages of PV Cells 1133.4.6 Production of Metallurgical Grade Silicon 1143.4.7 Production of Solar Grade Silicon by Union Carbide Process 1143.4.8 Purification of Silicon by Zone Refining 1153.4.9 Doping of Silicon by Diffusion Technique (n- and p-Types) 115

3.5 POINTS TO REMEMBER 1163.6 REVIEW QUESTIONS FROM RECENT VTU PAPERS 1173.7 LEARNING ACTIVITY 118

4. ENVIRONMENTAL POLLUTION AND WATER CHEMISTRY ................. 119 – 1594.1 ENVIRONMENTAL POLLUTION 119

4.1.1 Introduction 1194.1.2 Primary Air Pollutants 121

4.1.2.1 Oxides of Sulphur 1214.1.2.2 Oxides of Nitrogen 1224.1.2.3 Carbon Monoxide 1234.1.2.4 Hydrocarbons 1244.1.2.5 Particulates 1244.1.2.6 Mercury 1264.1.2.7 Lead 127

4.1.3 Secondary Air Pollutants 1284.1.3.1 Ozone 1284.1.3.2 Ozone Depletion 129

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4.2 WASTE MANAGEMENT 1304.2.1 Introduction 130

4.2.1.1 Principles of Waste Management 1314.2.1.2 Product Design: Life-cycle 1314.2.1.3 Simple Tips to Reduce Waste 132

4.2.2 Solid Waste 1324.2.2.1 Introduction 1324.2.2.2 Sources, Characteristics and Disposal of Solid Wastes 133

4.2.3 Electronic Waste (e-Waste) 1404.2.3.1 Introduction 1404.2.3.2 Sources, Characteristics and Disposal of e-Waste 140

4.2.4 Bio-medical Waste 1424.2.4.1 Introduction 1424.2.4.2 Sources, Characteristics and Disposal of Bio-medical Waste 142

4.3 WATER TECHNOLOGY 1444.3.1 Introduction 1444.3.2 Boiler Troubles 144

4.3.2.1 Scale and Sludge 1454.3.2.2 Priming and Foaming 1454.3.2.3 Boiler Corrosion 146

4.3.3 Sources of Water Pollution 1464.3.4 Determination of Dissolved Oxygen (DO) in Water Samples

(Winkler’s Method) 1474.3.5 Determination of Chemical Oxygen Demand (COD) of Water Samples 1474.3.6 Determination of Biological Oxygen Demand (BOD) of Water Samples 1484.3.7 Numerical Problems on COD 1484.3.8 Chemical Analysis of Water 149

4.3.8.1 Determination of Fluoride by SPADNS Method using Colorimetry 1504.3.8.2 Determination of Sulphate by Gravimetric Method 1504.3.8.3 Determination of Nitrates 151

4.3.9 Sewage Treatment 1524.3.9.1 Primary Treatment 1524.3.9.2 Secondary Treatment (Activated Sludge Process) 1524.3.9.3 Tertiary Treatment 153

4.3.10 Softening of Water by Ion Exchange Method 1534.3.11 Desalination of Sea Water 154

4.3.11.1 Reverse Osmosis 1554.3.11.2 Electrodialysis 155

4.4 POINTS TO REMEMBER 1564.5 REVIEW QUESTIONS FROM VTU PAPERS 1574.6 LEARNING ACTIVITY 159

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5. INSTRUMENTAL METHODS OFANALYSIS AND NANOMATERIALS ..... 160 – 2085.1 INSTRUMENTAL METHODS OF ANALYSIS 160

5.1.1 Introduction 1605.1.2 Classical Instruments 160

5.1.2.1 Colorimetry 1615.1.2.2 Flame Photometry 1625.1.2.3 Atomic Absorption Spectroscopy (AAS) 1645.1.2.4 Potentiometry 1665.1.2.5 Conductometry 167

5.1.3 Advanced Instruments 1715.1.3.1 Ultraviolet-visible (UV-Vis) Spectroscopy 1715.1.3.2 Infrared Spectroscopy 1755.1.3.3 Nuclear Magnetic Resonance (NMR) 1785.1.3.4 Magnetic Resonance Imaging (MRI) 1835.1.3.5 Mass Spectrophotometer 1845.1.3.6 X-ray Diffraction (XRD) 1865.1.3.7 High-performance Liquid Chromatography 1875.1.3.8 Thermogravimetric Analyzer (or TGA) 189

5.2 NANOMATERIALS 1915.2.1 Introduction 1915.2.2 Applications of Nanomaterials in Real Life 1915.2.3 Nanophase Engineering 1925.2.4 General Properties and Applications of Nanomaterials 1935.2.5 Size Dependent Properties of Nanomaterials 1935.2.6 Synthesis of Nanomaterials 195

5.2.6.1 Bottom-up and Top-down Methods of Synthesis 1955.2.6.2 Sol-gel Method 1955.2.6.3 Precipitation Method 1975.2.6.4 Chemical Vapour Deposition (CVD) 1975.2.6.5 Gas Condensation Method 198

5.2.7 Nanoscale Materials 1995.2.7.1 Fullerenes 1995.2.7.2 Carbon Nanotubes 1995.2.7.3 Graphenes 2015.2.7.4 Nanowires and Nanorods 2025.2.7.5 Dendrimers 2035.2.7.6 Nanocomposites 204

5.3 POINTS TO REMEMBER 2055.4 REVIEW QUESTIONS FROM RECENT VTU PAPERS 2065.5 LEARNING ACTIVITY 207

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1

Module 1

ELECTROCHEMISTRY AND ENERGYSTORAGE SYSTEMS

1.1 USE OF FREE ENERGY IN CHEMICAL EQUILIBRIA1.1.1 Introduction to Thermodynamics

Thermodynamics is the branch of science that deals with the relationships between heat and otherforms of energy (such as mechanical, electrical and chemical energy) and relationships between allforms of energy.

The four laws of thermodynamics define fundamental physical quantities (temperature, energyand entropy) that characterize thermodynamic systems.

The first law states that the amount of energy added to a system is equal to the sum of itsincrease in heat energy and work done on the system.

ΔU = q + wHere, ΔU is the change in internal energy, U of the system. ‘q’ is the net heat transferred into the

system. ‘w’ is the net work done on the system.The first law is an example of principle of conservation of energy. Energy can neither be created

nor destroyed, rather, it can only be transformed or transferred from one form to another.The second law states that heat flows spontaneously from a hot to a cold body. The reverse

process is not spontaneous, i.e., flow of heat from a cold to a hot body require the input of someexternal energy.

All the refrigerators, deep freezers, industrial refrigeration systems, all types of air-conditioningsystems, heat pumps, etc work on the basis of the second law of thermodynamics.

The third law states that the entropy (degree of randomness) of a pure crystal at absolute zerotemperature (0 K) is zero. It implies that it is impossible to cool a system all the way to exactlyabsolute zero. Thus, all physical systems have a positive entropy value.

The zeroth law states that if two bodies are in thermal equilibrium with some third body, thenthey are also in equilibrium with each other.

Thermodynamics has a clear application to chemistry, biology, and other fields: in a sense,physical life itself can be described as a continual thermodynamic cycle of transformations betweenheat and energy. But these transformations are never perfectly efficient, as the second law ofthermodynamics shows. Nor is it possible to get something for nothing, as the first law of

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Engineering Chemistry2

thermodynamics demonstrates: the work output of a system can never be greater than the net energyinput. These laws disappointed many who believed it might be possible to create a perpetual motionmachine (produces work without the input of energy). Yet the laws of thermodynamics did makepossible such highly useful creations as the internal combustion engine and the refrigerator.

Thermodynamics in engineering is the study of various inter-conversions from of energy fromone form to another. Thermodynamics has several types of applications in our daily life: Fossil-fueledSteam power plants, Spark-ignition engines and Jet engines. All types of vehicles that, we use andmany others work on the basis of second law of thermodynamics.

They may be using petrol engine or diesel engine, but the law remains the same. Even coolingmachines, such as refrigerators and air conditioners, actually use heat, simply reversing the usualprocess by which particles are heated. The refrigerator pulls heat from its inner compartment (the areawhere food and other perishables are stored) and transfers it to the region outside. This is why the backof a refrigerator is warm.

The important field of thermodynamics is heat transfer, which relates to transfer of heat betweentwo media. There are three modes of heat transfer: conduction, convection and radiation. The conceptof heat transfer is used in several devices such as, condensers, radiators, coolers, heaters, etc.

Thermodynamics plays a key role in various types of power plants such as, thermal power plants,nuclear power plants, hydroelectric power plants, power plants based on renewable energy sourceslike solar, wind, geothermal, tides, water waves etc.

There are three possible systems in thermodynamics: open, closed and isolated systems. An opensystem is one that freely allows energy and matter to be transferred in and out of a system. Forexample, boiling water without a lid will allow heat to escape into the air. At the same time steam(which is matter) also escapes into the air.

A closed system, on the other hand, does not allow the exchange of matter but allows energy tobe transferred. It allows heat to be transferred from the stove to the water. Heat is also transferred tothe surroundings but steam (mater) is not allowed to escape. Example of a closed system – a pressurecooker.

An isolated system is a completely sealed heat and matter is not allowed to be exchanged with thesurroundings. Example: A thermoflask is an isolated system.

1.1.2 Thermodynamic FunctionsInternal energy (U) is the energy associated with random, disordered motion of molecules. It is

sum of all microscopic kinetic and potential energies of the molecules within the object. It is measuredin joules.

Enthalpy (H) is a thermodynamic quantity equivalent to the total heat content of a system. It isequal to the internal energy (U) of the system plus the product of pressure (P) and volume (V).

H = U + PVEntropy (S) is a thermodynamic function representing the unavailability of a system's thermal

energy for conversion into useful work, often interpreted as the degree of disorder or randomness inthe system. Because work is obtained from ordered molecular motion.

Gibbs free energy is a thermodynamic function that was defined in 1876 by Josiah Willard Gibbsto predict whether a process will occur spontaneously at constant temperature and pressure.

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Electrochemistry and Energy Storage Systems 3

Gibbs free energy (G) is defined as the enthalpy (H) of the system minus the product oftemperature (T) times the entropy (S) of the system.

G = H - TSChange in Gibbs free energy (ΔG) during a reaction at any set of conditions is given by,

ΔG = ΔH - TΔSIf the reaction occurs at standard state conditions (298K, 1 atm pressure or 1M concentration

depending on the state of matter), the result is standard free energy change (ΔGo),ΔGo = ΔHo - TΔSo

1.1.3 Gibbs Free Energy and EquilibriumReactions are driven by Gibbs free energy. ΔGo values for some common reactions are listed in

the following table.

Reaction ΔGo (kJ)H2O(l) H+(aq) + OH–(aq) 79.9AgCl(s) + H2O Ag+(aq) + Cl–(aq) 55.6N2(g) + 3H2(g) 2NH3 -32.9Cu2+(aq) + 4NH3(aq) Cu(NH3)42+ -76.0Zn(s) + Cu2+(aq) Zn2+(aq) + Cu(s) -211.8

The sign of ΔGo indicate that the direction in which the reaction shift to come to equilibrium.Negative value of ΔGo, means that a system under standard state conditions would shift to the right,converting some of the reactants to products before it can reach equilibrium. Positive value of ΔGo,means that a system would shift to the left, there are more reactants than product before it can reachequilibrium.

Larger the value of ΔGo, the further the reaction has to go right side or left side to reachequilibrium. Smaller the value of ΔGo, the closer the reaction is to true equilibrium where there issignificant amount of both products and reactants.

Chemical equilibrium is defined as the state at which the concentrations of all reactants andproducts of a chemical reaction remain constant over time.

(a) How does energy affect the direction and extend of a reaction?To answer this question, we have to introduce the law of mass action, which defines theequilibrium constant K. The equilibrium constant K is related to the Gibbs free energy, G.The law of mass` action expresses the relative concentration of reactants and products atequilibrium in-terms of quantity called the equilibrium constant. The law is suitable for manyreactions, hence we discuss it using a general form with no specific reactants or products. Ageneral reaction of ‘a’ moles of A and ‘b’ moles of B to produce ‘c’ moles of C and ‘d’ molesof D can be represented by,

a A + b B c C + d D

Furthermore, we represent activities of A, B, C, and D by {A}, {B}, {C} and {D}respectively. In any system, a reaction quotient, Q can be defined as follows:

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Engineering Chemistry4

Q{B}{A}{D}{C}

ba

dc

Over time, the quotient Q tends to approach a constant K for a given reaction in a closedsystem. Such a state is called equilibrium,

Q KThus, K is called the equilibrium constant. This is known as the law of mass action. In otherwords, there is a tendency for the reaction to reach a equilibrium such that,

K{B}{A}{D}{C}

ba

dc

Activities are used to cover a wider range of concentrations than using concentrations todefine the reaction quotient or equilibrium constant K.

(b) Standard Gibbs free energy change, ΔGo

The relationship between standard state free energy (ΔGo) and equilibrium constant (K) isgiven by,

ΔGo = – R T ln KIf K >1, ΔGo is negative, there are more products than reactants in equilibrium.If K=1, ΔGo = 0, there are same amount of products and reactants in equilibrium.If K <1, ΔGo is positive, there are more reactants than products in equilibrium.A reaction (change) is the result of a system trying to minimize its Gibbs free energy.

(c) Gibbs Free Energy Change, ΔGWhen a reaction is not in standard state, we have to describe the system in terms of non-standard state free energies (ΔG) of reaction,

ΔG = ΔGo + R T ln KWe have the following results, when a reaction is at equilibrium,

ΔGo = – R T ln KΔGo + R T ln K = 0

ΔG = 0Hence we can conclude that when ΔG is zero, the system has reached an equilibrium state,when ΔG is negative, the forward reaction is spontaneous, when ΔG is positive, the reversereaction is spontaneous.

1.1.4 Gibbs Energy and Electric EnergyIn spontaneous redox reactions, the work done is equal to decrease in free energy. In such

reactions, work done is the product of charge transferred (nF) times the potential E (V),– ΔG = Wmax = n F E

(or) ΔG = – n F Ewhere, n is number of moles of electrons and F is Faraday’s constant.The negative value in this equation indicates that the electrical work is done by the system on the

surrounding.

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Electrochemistry and Energy Storage Systems 5

1.2 ELECTROCHEMISTRY1.2.1 Introduction

Electrochemistry is the study of chemical processes that cause electrons to move. This movementof electrons is called electricity, which is generated by movement of electrons from one electrode toanother in a reaction known as an oxidation-reduction (redox) reaction.

Oxidation is the lose of electrons whereas reduction refers to the gain of electrons. (OIL RIG:Oxidation Is Lose of electrons; Reduction Is Gain of electrons).

Oxidation takes place at anode whereas reduction takes place at cathode. (An Ox Red Cat:Anode Oxidation; Reduction Cathode).

Electrochemical cells are broadly divided into two types;1. Galvanic cells2. Electrolytic cellsA galvanic cell is a device where chemical energy is spontaneously converted to electrical energy.

Example: discharging of a battery.Electrolytic cell is a device where electrical energy is applied to drive a non spontaneous

chemical reaction. Example: charging of a battery, and electroplating processes.

Cell PotentialCurrent cannot flow from one electrode to another electrode unless there is a potential difference

between the two points. The cell potential or emf of the cell is defined as the potential differencebetween two electrodes of a galvanic cell. The standard cell potential (

cellE ) of a galvanic cell ismeasured at standard conditions (298K, 1M concentration and 1 atm pressure) and is given by thefollowing equation:

cellE =

anodecathode E– E

1.2.1.1 Construction and Working of Galvanic CellIt consists of two dissimilar electrodes dipped in their respective electrolyte solutions which are

connected internally by means of salt bridge or porous membrane. A voltmeter may be used to

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measure the cell potential. The salt bridge maintains ionic balance while preventing the mixing ofanodic and cathodic solutions (see Figure 1.1).

Example for galvanic cell is Daniel cell:Zn | ZnSO4(1M) || CuSO4(1M) | Cui.e., Anode | Anode solution || Cathode solution | Cathodewhere single line is used to indicate different phases and double line to indicate salt bridge.At anode: Zinc electrode undergoes oxidation

Zn Zn2+ + 2e−

At cathode: Copper ions undergo reductionCu2+ + 2e− Cu

Figure 1.1: Galvanic Cell

Net cell reaction is obtained by adding anode and cathode reactions as given below:Zn + Cu2+ Zn2+ + Cu

Electromotive force (EMF) of the cell at standard conditions or cellE is calculated using the

equation:cellE =

anodecathode E– E

1.2.1.2 Origin of Single Electrode PotentialSingle electrode potential is the potential developed at the interface between metal and the

solution, when it is in contact with a solution of its own ions.

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Electrochemistry and Energy Storage Systems 7

When a metal is in contact with a solution of its own ions, two types of reactions possible,M Mn+ + ne–

Metals go into solution as metal ions by losing electrons. The electrons accumulate on theelectrode surface, making it negatively charged. The negatively charged electrode surface attracts alayer of positively charged ions at the interface, developing an electrical double layer at the metalsolution interface.

Figure 1.2: Origin of single electrode potential

At the same time metal ions in the solution get deposited as metal atoms by consuming electrons.Mn+ + ne– M

The positively charged metal ions accumulate on the electrode surface, making it positivelycharged. The positively charged electrode surface attracts a layer of negatively charged ions at theinterface, again establishing an electrical double layer.

Formation of an electrical double layer gives rise to a potential difference across the layer. Thispotential difference between the metal and solution at the interface is called single electrode potential.

1.2.1.3 Electrochemical SeriesThe standard reduction potentials (E°) of a large number of electrodes have been measured using

standard hydrogen electrode as the reference electrode.The arrangement of elements in the order of increasing reduction potential values is called

electrochemical series. The metals on the top (with high negative standard reduction potentials), havethe tendency to lose electrons readily, act as suitable anodes/reducing agents. These are called activemetals.

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The activity of metals decreases from top to bottom. The metals/non-metals on the bottom (withhigh positive standard reduction potentials) have the tendency to accept electrons readily, act assuitable cathodes/oxidizing agents. These are called least active or noble metals.

For example, in a Daniel cell, Zn electrode (E° = –0.76V) acts as anode and undergo oxidation,whereas the Cu electrode (E° = 0.34V) acts as cathode and undergo reduction.

Table 1.1 Electrochemical SeriesElement Electrode reaction (reduction) E° (in volts)

Li Li+ + e− Li –3.05

K K+ + e− K –2.93

Na Na+ + e− Na –2.71

Mg Mg2+ + 2e− Mg –2.37

Al Al3+ + 3e− Al –1.66

Zn Zn2+ + 2e− Zn –0.76

Fe Fe2+ + 2e− Fe –0.44

Cd Cd2+ + 2e− Cd –0.40

Ni Ni2+ + 2e− Ni –0.25

Sn Sn2+ + 2e− Sn –0.14

Pb Pb2+ + 2e− Pb –0.13

H 2H+ + 2e− H2 0.00

Cu Cu2+ + 2e− Cu 0.34

Fe Fe3+ + e– Fe2+ 0.77

Ag Ag+ + e− Ag 0.80

Pt Pt2+ + 2e− Pt 1.20

Cl Cl2 + 2e− 2Cl– 1.36

Au Au3+ + 3e− Au 1.50

1.2.2 Nernst Equation for Single Electrode PotentialNernst equation relates single electrode potential (E) to its standard electrode potential (Eo),

concentration of metal ions and temperature. Consider a reversible redox reactionMn+ + ne– M

A thermodynamic relationship known as Van’t Hoff’s isotherm equation that relate free energywith equilibrium, can be applied to the above equilibrium to solve Nernst equation for single electrodepotential,

∆G = ∆G° + RT ln Kc ... (1.1)

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Electrochemistry and Energy Storage Systems 9

Decrease in free energy is related to maximum work done,−∆G = Wmax ... (1.2)Wmax = Electrical energy (work) produced = nFE

(where ‘n’ is number of (moles of) electrons liberated at one electrode & ‘F’ is Faraday’sconstant. Faraday’s constant is the magnitude of electric charge per mole of electrons = 96485Coulombs)

Hence, decrease in free energy can be written as,−∆G = nFE ... (1.3)−∆G° = nFE° ... (1.4)

Since,

Kc =][M

[M] [reactant][product]

n ... (1.5)

Substitute equations 1.3, 1.4 and 1.5 in 1.1,

−nFE = −nFE° + RT ln][M

[M]n

Divide by –nF; substitute ln = 2.303 log andsubstitute [M] = 1 (since concentration of pure metal is taken as unity)

E = E° − 2.303][M

1 log nnFRT

By rearranging the above equation, the Nernst equation for single electrode potential is obtained;

E = E° +nF

RT 2.303 log [Mn+]

n = number of electrons involved in the redox reaction.Substitute gas constant (R) = 8.314 JK–1mol–1, Faraday’s constant (F) = 96500 coulombs/mol and

temperature (T) = 298K, to simplify the equation if temperature is maintained at 25oC or 298K.or

E = E° +n

0.0591 log [Mn+] at 298K

Nernst equation clearly indicates that the potential of a single electrode varies with concentrationof metal ions in the solution. Single electrode potential is determined by using a reference electrode.

1.2.3 Nernst Equation for Galvanic CellNernst equation can also be used to calculate emf of a galvanic cell. To do that, substitute Nernst

equation for single electrode potential for anode and cathode in the following emf equation,Ecell = Ecathode – Eanode ... (1.6)

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Engineering Chemistry10

Ecathode = Eocathode +nF

RT 2.303 log [Mn+ at cathode] ... (1.7)

Eanode = Eoanode +nF

RT2.303 log [Mn+ at anode] ... (1.8)

Substitute equation (1.7) and (1.8) in equation (1.6),

anode]at[Mcathode]at[Mlog

nF2.303RT)E(EE n

noanode

ocathodecell

anode]at[Mcathode]at[Mlog

nFRT2.303EE n

nocellcell

298Katanode]at[M

cathode]at[Mlogn

0.0591EE n

nocellcell

The Nernst equation for galvanic cell can be used to find cell potential of galvanic cells at nonstandard conditions.

1.2.4 Numerical Problems for finding E, Eo and Ecell

Recall Formulas:ocellE = o

anodeo E– cathodeE

E = E° +nF

RT 2.303 log [Mn+]

E° = E –nF

RT 2.303 log [Mn+]

anode]at[Mcathode]at[Mlog

nFRT2.303EE n

nocellcell

Problem 1: The standard electrode potential of Zn electrode is -0.76V and the concentration [Zn2+]given = 0.25M, Calculate

/ZnZn 2E at 28oC.

Solution: Apply Nernst equation for single electrode potential

E = Eo +nF

RT 2.303 log [Mn+]

]log[ZnnF

RT2.303EE 2o/ZnZn/ZnZn 22

mol[0.25]logolcoulombs.m964852mol

K301molJK8.3142.3030.76V 1

11

= – 0.78V

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Electrochemistry and Energy Storage Systems 11

Problem 2: Calculate the ,Eo/CuCu2 if the potential of Cu electrode immersed in 0.015M Cu2+ solution

is 0.296V at 25oC.Use Nernst equation for single electrode potential,

E = Eo +n

0.0591 log [Mn+] at 298K

Rearrange the equation to find Eo,

o/CuCu2E = ]Culog[

n0591.0E 2

/CuCu 2

log[0.015]2

0.0591296.0

= 0.349VProblem 3: Iron rod immersed in ferrous sulphate solution of 0.25M and Cu rod immersed in coppersulphate solution of 0.45M. Standard potentials of Cu and Fe electrodes are 0.34 and –0.41Vrespectively. Give cell representation, cell reactions and Calculate EMF of cell at 30oC.Cell representation:

Fe | Fe2+(0.25M) || Cu2+(0.45M) | CuCell reactions:

Anode (–ve): Fe Fe2+ + 2e–

Cathode (+ve): Cu2+ + 2e– CuOverall reaction: Fe + Cu2+ Fe2+ + Cu

Apply Nernst equation for galvanic cell

anode]at[Mcathode]at[Mlog

nFRT2.303EE n

nocellcell

][Fe][Culog

nFRT2.303)E(EE 2

2o

/FeFeo

/CuCucell 22

.25]0[[0.45]log

9648523038.3142.3030.41))((0.34E cell

= 0.758VProblem 4: A galvanic cell is formed by the combination of Zn rod immersed in Zinc chloridesolution of concentration 0.5M and Li rod immersed in Lithium chloride solution of concentration0.15M. Give the cell representation, cell reactions and calculate EMF of cell at 25oC. The standardelectrode potentials of Li and Zn electrodes are -3.04 and -0.76V respectively.Cell representation:

Li | Li+(0.15M) || Zn2+(0.5M) | Zn

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Cell reactions:Anode (–ve): 2Li 2Li+ + 2e–

Cathode (+ve): Zn2+ + 2e– ZnOverall reaction: 2Li + Zn2+ 2Li+ + Zn

Apply Nernst equation for galvanic cell

anode]at[Mcathode]at[Mlog

n0.0591EE n

nocellcell

2

2o

/LiLio

/Zn2Zncell ][Li][Znlog

n0.0591)E(EE

2cell .15]0[[0.5]log

20.0591))04.3(0.76(E

= 2.32V

1.2.5 Types of ElectrodesIn electrochemistry, we encounter various types of electrodes depending upon the purpose for

which they are used.(A) Metal-metal ion electrode: Metal dipped in a solution of its own ions.

Example: Cu | Cu2+, Zn | Zn2+, Ag | Ag+

(B) Gas electrode: An inert electrode like platinum is in contact with gas molecules and also incontact with ionic solution of the same gas molecules.Example: SHE, Pt, H2(1atm) | HCl (Primary reference electrode)

(C) Metal-insoluble salt electrode: A metal is in contact with a sparingly soluble salt of thesame metal dipped in a solution containing anion of the salt.Examples: Calomel electrode and Ag/AgCl electrode (Secondary reference electrodes).

(D) Amalgam electrode: It is similar to metal-metal ion electrode, except that in amalgamelectrode, metal amalgam is in contact with a solution containing its own ions.Example: Pb-Ag/Pb2+ (lead amalgam electrode)

(E) Oxidation-Reduction electrode: It is the electrode in which potential arises from thepresence of oxidized and reduced forms of the same substance in solution. The potential ispicked up by inert electrode like platinum.Example: Pt/Fe2+, Fe3+

(F) Ion selective electrode: These are more selective towards a particular type of ion, in themixture of ions.Example: Glass electrode (selective to H+ ions)

1.2.6 Reference ElectrodesReference electrodes are electrodes of fixed potential with which potential of other electrodes can

be determined. There are two types of reference electrodes;

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Electrochemistry and Energy Storage Systems 13

● Primary reference electrode [Example: Standard Hydrogen Electrode (SHE), E° = 0]. Due todifficulty in handling hydrogen gas, secondary reference electrodes are preferred.

● Secondary reference electrode [Examples: Calomel electrode and Ag-AgCl electrode].Construction, working and applications of primary and secondary reference electrodes are

discussed in the following section.

1.2.6.1 Standard Hydrogen ElectrodeThe hydrogen electrode is constructed by bubbling hydrogen through an acid solution of known

pH. A noble electrode (platinized platinum) is generally placed into the solution to insure a largeelectrochemical surface area and rapid equilibrium conditions.

Electrode representation:Pt | H2(g) | H+

Figure 1.3: Standard Hydrogen Electrode

Working: The net reversible electrode reaction is;2H+ + 2e− H2(g)

If the concentration of H+ ions is 1M and hydrogen gas is bubbled at 1 atmospheric pressure at298K, it is called standard hydrogen electrode (SHE). Its electrode potential is officially assigned the0.0V thermodynamic reference point for all potential measurements.Disadvantages:

The electrode is ideal, but difficult to maintain 1 atmosphere pressure of H2. Moreover Pt metal iseasily poisoned by impurities. Thus, we use secondary electrodes that are standardized using primarystandard hydrogen electrode.

H+

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Engineering Chemistry14

1.2.6.2 Calomel ElectrodeConstruction: Calomel electrode is constructed by filling a paste of Hg and Hg2Cl2 at the bottom

of a narrow glass tube having a porous plug at the bottom end. Liquid mercury is then filled above thepaste. To measure the potential of the electrode a platinum wire is dipped in liquid mercury. Thisnarrow glass tube is placed inside an outer glass tube filled with KCl solution. The porous plug at thebottom of outer tube acts as salt bridge.

The electrode can be represented as:Hg(l) | Hg2Cl2(s) | KCl(aq)

Figure 1.4: Calomel Electrode

Working:When it acts as anode, the electrode reaction is

2Hg + 2Cl– Hg2Cl2 + 2e−

When it acts as cathode, the electrode reaction isHg2Cl2 + 2e− 2Hg + 2Cl–

The net reversible electrode reaction is;Hg2Cl2 + 2e− 2Hg + 2Cl–

Nernst equation for calomel electrode is found to be;E = E° − 0.0591 log[Cl–] at 298K

Its electrode potential is decided by the concentration of chloride ions and the electrode isreversible with respect to chloride ions.

Concentration of KCl E (in volts)Saturated (4M) 0.242

1M 0.2800.1M 0.334

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Electrochemistry and Energy Storage Systems 15

Applications:● It is used as a secondary reference electrode in the measurement of single electrode potentials.● It is used in potentiometric quantitative analysis.

1.2.6.3 Silver-Silver Chloride (Ag-AgCl) ElectrodeConstruction: It consists of a Ag wire coated with its sparingly soluble salt AgCl, and is

immersed in a solution containing Cl– ions. Porous plug at the bottom of the glass tube acts as saltbridge.

The electrode can be represented as:Ag(s) | AgCl(s) | KCl(aq)

Figure 1.5: Ag-AgCl Electrode

Working:The net reversible electrode reaction is;

AgCl + e– Ag + Cl–

Nernst equation for Ag-AgCl electrode is found to be;E = E° − 0.0591 log[Cl–] at 298K

Its electrode potential is decided by the concentration of chloride ions and the electrode isreversible with respect to chloride ions.

Concentration of KCl E (in volts)Saturated (4M) 0.199

1M 0.2220.1M 0.291

Applications:● It is used as a secondary reference electrode in the measurement of single electrode potentials.● It is used as internal reference electrode in glass electrode.

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1.2.7 Measurement of Electrode Potential using Calomel ElectrodePotential of any electrode can be measured by combining with a calomel reference electrode. For

example, the following cell is constructed to measure the potential of Zn electrode.Cell representation:

Zn | Zn2+ || KCl | Hg2Cl2 | Hg

Figure 1.6: Measurement of electrode potentialusing calomel electrode

ocellE = o

anodeocathode E– E

ocellE = o

ZnoSCE E– E

oZnE = o

celloSCE E– E

ocellE is read from the voltmeter as 1.0V,

oZnE = 0.2422V − 1.0VoZnE = −0.76V

1.2.8 Electrolyte Concentration CellsElectrolyte concentration cell is a type of galvanic cell that generates electricity when two

electrodes of same metal are in contact with solutions of its ions of different concentration. Potentialdifference arises due to difference in electrolyte concentrations.

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Figure 1.7: Concentration Cell

Example of concentration cell:

Cu | Cu || Cu|Cu 2M1.0 C

20.001M C 21

Metal immersed in dilute solution act as anode (C1 = 0.001M) whereas the metal immersed inconcentrated solution act as cathode (C2 = 0.1M).Cell reactions:

At anode: Cu

20.001M C1

Cu + 2e–

At cathode:

20.1M C2

Cu + 2e– Cu

Net reaction:

20.1M C2

Cu

20.001M C1

Cu

Derivation of an Expression for EMF of Concentration CellConsider the concentration cell shown in the figure. Its EMF is given by,

Ecell = Ecathode − Eanode

Nernst equation for anode:

nF2.303RT EE o

anodeanode log C1

Nernst equation for cathode:

nF2.303RT EE o

cathodecathode log C2

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Engineering Chemistry18

Substitute Nernst equation for anode and cathode in Ecell equation:

Ecell =nF

RT2.303 )E– (E oanode

ocathode log

1

2

CC

In concentration cell, anode and cathode electrodes are same, henceoanode

ocathode E– E = 0

Therefore the Nernst equation for concentration cell can be written as;

Ecell =nF

RT2.303 log1

2

CC

or

Ecell =n

0.0591 log1

2

CC at 298K

Concentration cell is observed in corrosion of metals when it is in contact with differentconcentration of the same solution (discussed in detail in chapter 2).

Applications of Concentration CellsA pH measurement involves a specific glass electrode that uses the basic setup of a concentration

cell to determine the pH, or the acidity/basicity, of an unknown solution (discussed in the followingsection).

1.2.9 Numerical Problems on Concentration CellsProblem 1: EMF of the cell Cu | CuSO4 (0.001M) || CuSO4 (X) | Cu is 0.0595V at 25°C. Find X value.

It is clear that C1 = 0.001M, C2 = X and n = 2;Apply Nernst equation for concentration cell

Ecell =n

0.0591 log1

2

CC at 298K

0.0591n Ecell = log

1CX

Antilog

0.0591

nEcell =1C

X

0.001 × Antilog

0.05912 0.0595 = X

0.001 × 103 = XX = 0.103M

Problem 2: A concentration cell is constructed by dipping copper rods in 0.001M and 0.1M coppersulphate solutions. Calculate the EMF of the cell at 298K.

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Electrochemistry and Energy Storage Systems 19

Cell representation:

Cu |

20.001M C1

Cu ||

20.1M C2

Cu | Cu

Cell reactions:

Anode (–ve): Cu

20.001M C1

Cu + 2e–

Cathode (+ve):

20.1M C2

Cu + 2e– Cu

Overall reaction:

20.1M C2

Cu

20.001M C1

Cu

Apply Nernst equation for concentration cell,

1

2cell C

Clogn

0.0591E

0.0010.1 log

20.0591Ecell

= 0.0591VProblem 3: (on valency) The spontaneous galvanic cell Tin / Tin ion (0.02M) // Tin ion (0.06M) / Tindevelops an emf of 0.0141V at 298K. Calculate the valency of Tin.

Apply Nernst equation for concentration cell,

1

2cell C

Clogn

0.0591E

Rearrange the equation:

1

2

cell CClog

E0.0591n

[0.02][0.06]log

0.01410.0591n

= 2

1.2.10 Ion Selective ElectrodeIntroduction

Ion selective electrode is very selective towards particular type of ions and develop a potentialproportional to the concentration of that ions. The sensitive part of the electrode is its membranewhich allows the exchange of selective ions.

Ion-selective electrodes (ISEs) are comparatively simple membrane-based potentiometric deviceswhich are capable of accurately measuring the concentration of ions in solution. They are also calledas specific ion electrode (SIE). ISE is a transducer (or sensor) that converts the activity of a specificion dissolved in a solution into an electrical potential. Selectivity of these transducers for one ion overanother is determined by the nature and composition of the membrane materials used to fabricate theelectrode.

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Figure 1.8: Orion Ion Selective Electrode

There are other types of ISEs which may be prepared with glass, crystalline, liquid and polymermembranes and which allow for the selective measurement of a wide variety of cations and anions(e.g., H+, Na+, K+, Ca2+, Ag+, C1–, Br–, F–, and many other ions of interest). Moreover, in recent years,the range of measurable species has been further extended to measure dissolved gases and evenbiochemicals.

Types of Ion-Selective ElectrodesIon selective electrode uses specific membrane materials/composition to be sensitive to certain

species. The following are the five main types of ion-selective electrodes:1. Glass Electrode: Glass electrode is the first ion-selective electrode. It was discovered by

Cremer in 1906. Glass electrodes are made of ion-exchange type glass membranes, andpossess good selectivity, particularly for Ag+, Na+ and H+. Chalcogenide glass, however, hasgood selectivity for double-charged metal ions such as Cd2+ and Pb2+. The glass membrane ofthe pH electrode is made up of 72% SiO2, 22% Na2O and 6% CaO.

2. Crystalline Electrodes: Mono or polycrystallites form the basic composition of crystallinemembrane material. They have good selectivity because only specific ions can introducethemselves into the crystal lattice and produce electrode response. For example: Fluoride Ionselective electrode based on LaF3 crystal.

3. Ion-exchange Electrodes: Ion-exchange resins are special organic polymer membranescontaining a specific ion-exchange substance. Ion-specific electrodes are the most widespreadelectrodes with anionic selectivity. However, these electrodes were found to exhibit lowchemical and physical durability.

4. Enzyme Electrodes: Enzyme electrodes are operated based on the principle that an enzymereacts with a specific substance, and the product of this reaction is detected by a true ion-selective electrode. These reactions are carried out within a special membrane that covers thetrue ion-selective electrode.

5. Alkali metal ISE: Electrodes specific for each alkali metal ion, Li+, Na+, K+, Rb+ and Cs+

have been developed. The principle on which these electrodes are based is that the alkalimetal ion is encapsulated in a molecular cavity whose size is matched to the size of the ion.For example, an electrode based on valinomycin may be used for the determination ofpotassium ion concentration.

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Working Mechanism of Ion Selective ElectrodesAccording to the Nernst equation, the voltage is theoretically dependent on the logarithm of the

ionic activity. The ion-selective electrode works based on the principle of a galvanic cell. It consists ofa reference electrode, ion-selective membrane and voltmeter.

The transport of ions from an area of high concentration to low concentration through theselective binding of ions with the specific sites of the membrane creates a potential difference. Thispotential is measured with respect to a stable reference electrode having a constant potential, and a netcharge is determined. The strength of the net charge thus measured is directly proportional to theconcentration of the selected ion.

ApplicationsSome of the major applications of ion selective electrode include the following:● Clinical chemistry: For the analysis of electrolytes such as Na+, K+ in blood, serum, etc.● Environmental chemistry: For the analysis of CN–, F–, NH3, NO3– in water and waste water

samples.● Agricultural chemistry: For the analysis of K+, NH4+, etc in soil and plant samples.● Industry: For the analysis of CN– in electroplating baths.● Pharmaceutical: For the analysis of F– and pH of toothpaste.● Research and Education: For the measurement of pH and other types of ions in samples.

1.2.11 Glass ElectrodeConstruction: Glass electrode is constructed by immersing Ag-AgCl internal reference electrode

in a glass bulb containing 0.1M HCl solution. The glass bulb is made up of a long glass tube with a thinhighly conducting glass membrane at the bottom. The glass membrane is selective to H+ ions in thesolution, and is made up of silicate glass having composition of 72% SiO2, 22% Na2O and 6% CaO.

Figure 1.9: Glass Electrode

The electrode can be represented as;Ag | AgCl | 0.1M HCl | Glass membrane

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Engineering Chemistry22

Working:When a glass bulb containing 0.1M HCl solution is immersed in an acidic solution of different

concentration, a boundary potential (Eb) is developed across the gel layers of the glass membrane.This boundary potential (Eb) arises due to the difference in concentration of H+ ions inside and

outside of the glass bulb.

Eb = 0.0591 log1

2

CC

C1 = Concentration of H+ inside the bulb, is a constant; C2 = Concentration of H+ outside the bulb.Eb = 0.0591 log [C2] − 0.0591 log [C1]

Substitute –0.0591 log [C1] = K, a constantThen the equation becomes:

Eb = K + 0.0591 log [C2] = K + 0.0591 log [H+]Substitute log [H+] = –pHThe final equation for Eb is obtained as,

Eb = K − 0.0591 pHThe potential of glass electrode (EG) includes contribution from 3 factors,1. Boundary potential (Eb)2. Potential of Ag-AgCl reference electrode dipped inside the bulb, EAg/AgCl

3. Assymetric potential due to slight inhomogeneity of the inner and outer surfaces of the glassmembrane, EAsy

EG = Eb + EAg/AgCl + EAsy

Substitute Eb value;EG = K − 0.0591pH + EAg/AgCl + EAsy

EG = L − 0.0591pHwhere constant, L = K + EAg/AgCl + EAsy

1.2.12 Determination of pH using Glass ElectrodeTo measure pH of an unknown solution, a glass electrode is coupled with calomel electrode and

connected to a potentiometer (or pH meter for reading pH directly), see Figure 1.10.The cell formed is represented as,Hg | Hg2Cl2 | KCl || Solution of unknown pH | Glass electrodeThe potential established at the glass electrode is higher than that of the calomel electrode, hence,

glass electrode is taken as cathode.

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Electrochemistry and Energy Storage Systems 23

Figure 1.10: Determination of pH

Ecell = Ecathode − Eanode

Ecell = EG − ESCE

Substituting for EG value,Ecell = [L − 0.0591pH] − ESCE

The above equation is rearranged to obtain the expression for pH,

pH =0.0591

E– E– L cellSCE

1.3 ENERGY STORAGE SYSTEMS1.3.1 Introduction

Energy storage is the capture of energy produced at one time for use at a later time. A device thatstores energy is sometimes called an accumulator or battery. Energy comes in multiple formsincluding radiation, chemical, gravitational potential, electrical potential, electricity, elevatedtemperature, latent heat and kinetic. Energy storage involves converting energy from forms that aredifficult to store to more conveniently or economically storable forms. Bulk energy storage iscurrently dominated by hydroelectric dams, both conventional as well as pumped.

Energy storage systems are the set of methods and technologies used to store various forms ofenergy. Some technologies provide short-term energy storage, while others can endure for muchlonger.

A wind-up clock stores potential energy (in this case mechanical, in the spring tension), arechargeable battery stores readily convertible chemical energy to operate a mobile phone, and ahydroelectric dam stores energy in a reservoir as gravitational potential energy. Fossil fuels such ascoal and gasoline store ancient energy derived from sunlight by organisms that later died, becameburied and over time were then converted into these fuels.

Solution ofunknown pH

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Engineering Chemistry24

Since the discovery of electricity, we have sought effective methods to store that energy for useon demand. Over the last century, the energy storage industry has continued to evolve and adapt tochanging energy requirements and advances in technology.

Energy storage systems provide a wide array of technological approaches to managing our powersupply in order to create a more resilient energy infrastructure and bring cost savings to utilities andconsumers. There are mainly six categories of energy storage systems:

1. Solid State Batteries - a range of electrochemical storage solutions, including advancedchemistry batteries and super-capacitors

2. Flow Batteries - batteries where the energy is stored directly in the electrolyte solution forlonger cycle life, and quick response times

3. Flywheels - mechanical devices that harness rotational energy to deliver instantaneous electricity4. Compressed Air Energy Storage - utilizing compressed air to create a potent energy reserve5. Thermal - capturing heat and cold to create energy on demand6. Pumped Hydro-power - creating large-scale reservoirs of energy with water

1.3.2 Battery Technology1.3.2.1 Introduction

In 1800, Alessandro Volta invented the first battery. On its most basic level, a battery is a deviceconsisting of one or more electrochemical cells that convert stored chemical energy into electricalenergy. Each cell contains a positive terminal, or cathode, and a negative terminal, or anode.Electrolytes allow ions to move between the electrodes and terminals, which allows current to flow outof the battery to perform work.

Advances in technology and materials have greatly increased the reliability and output of modernbattery systems, and economies of scale have dramatically reduced the associated cost. Continuedinnovation has created new technologies like high energy density Ni-MH batteries, Li-ion and Na-ionbatteries and electrochemical supercapacitors that can be charged and discharged simultaneously andinstantly, and provide an almost unlimited operational lifespan.

Battery is a device consisting of one or more galvanic cells connected in series or parallel orboth. It converts chemical energy into electricity through redox reactions.

Figure 1.11: Much more abundant than lithium, sodium could become a moreinteresting alternative to lithium-ion battery that have been used since early 90’s.

Source: RS2E, France

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Electrochemistry and Energy Storage Systems 25

The first prototype of a sodium-ion battery has just been revealed by the RS2E, a French researchand technology transfer network bringing together researchers and industrialists. This technology,inspired by the lithium-ion batteries already used in portable computers and electric vehicles, couldlead to the mass storage of intermittent renewable energy sources.Basic Components of Battery

Batteries consist of four major components:● Anode (–ve): It undergoes oxidation and release electrons to the external circuit.● Cathode (+ve): Active species at cathode undergoes reduction by accepting electrons from

external circuit.● Electrolyte: It is a solution of salt or alkali or acid. It allows the movement of ions inside the

cell between anode and cathode. Example: NaCl, KOH, H2SO4, etc.● Separator: It separates anode and cathode to prevent internal short circuiting, but allows

transport of ions between anode and cathode and maintain electrical neutrality. Example:cellulose, nafion membranes, etc.

● Cathode current collector, anode current collector, rubber seal and container are the minorcomponents of battery.

1.3.2.2 Classification of BatteriesNot all batteries are equal, often they are classified under the following categories:● Primary battery: In primary batteries, chemical energy stored in the battery is converted to

electrical energy spontaneously as long as active materials are present. This battery cannot berecharged, because cell reaction is irreversible. Example: Zn-MnO2 battery, Li-MnO2 battery.

● Secondary battery: This battery can be recharged by passing electric current, because cellreactions are reversible. The redox reaction is reversed during recharing. Electrical energy isstored in the form of chemical energy in these batteries and used when needed.Example: Lead acid battery, Ni-MH battery, Li-ion battery.Primary cells act only as galvanic cell, whereas, a secondary cell can act both as galvanic celland electrolytic cell. During discharging it acts as galvanic cell converting chemical energy toelectrical energy and during charging process it acts as electrolytic cell converting electricalenergy to chemical energy

● Reserve battery: In this battery, one of the key component is stored separately,and isincorporated into battery when required. When long storage is required, reserve batteries areoften used, since the active component of the cell is separated until needed, thus reducingself-discharge.Example: Mg-AgCl battery. They are activated by adding sea water. These batteries havehigh reliability and long shelf life, hence they find applications in missiles and submarines.Another example is zinc-air batteries where the cell is sealed until use, the seal is removed toadmit air and activate the cell when needed.

1.3.2.3 Battery CharacteristicsThe following battery characteristics must be taken into consideration when designing or

selecting a battery:

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● Cell potential: Cell potential (or voltage) is the electrical force that drive electric currentbetween electrodes. Voltage of a cell is given by the equation;

Ecell = (EC − EA) − ηA − ηC − iRcell

where, ηA and ηC are overpotential at anode and cathode respectively. Overpotentials shouldbe less to derive maximum voltage. Rcell is internal resistance of the cell. Internal resistanceshould also be less to derive maximum voltage.

● Current: “Current is the rate at which electric charge flows in a circuit and is expressed inAmpere”. High current can flow if there is rapid electron transfer reaction.

● Capacity: “It is the charge in Ampere-hours (Ah) that can be withdrawn from fully chargedcell or battery under specified conditions”. It is determined by Faraday’s relation:

C =M

WnF

(where, W = weight of active material; F = Faraday’s constant; M = Molar mass of activematerial; n = number of electrons involved in cell reaction).

● Electricity storage density: “It is the measure of charge per unit mass stored in the battery(Ah/Kg)”. The mass of the battery includes electrolyte, electrodes, terminals, case, etc.Lighter elements lead to higher electricity storage density. For example, Li anode lead tohigher electricity storage density when compared with the same amount of Zn.

● Power density: Power density is the rate of flow of energy per unit weight of battery and isgiven by i × Ecell per unit weight of battery. It is denoted by Watt/Kg. The power densitydecreases during discharge.

● Energy density: Energy density is the total amount of energy per unit weight of battery andis given by (i × Ecell) × t. It is denoted by Watt-hour/Kg.

● Energy Efficiency: Energy efficiency for a secondary battery is given by:

Energy efficiency =charge torequiredEnergy

dischargeon releasedEnergy × 100

● Cycle life: “The number of charge/discharge cycles that are possible before failure occurs inthe case of secondary batteries is called as cycle life”. The cycle life of a battery is affected bycorrosion in contacts and shedding of active materials from electrodes.

● Shelf life: It is essential for most batteries to be stored, sometimes for many years, withoutself discharge or corrosion of electrodes. Shelf life is defined as “duration of storage underspecific conditions without any loss in performance”.

1.3.3 Construction and Working of BatteriesConstruction and working of industrially important batteries is discused in the following section:

1.3.3.1 Zn-MnO2 (Leclanche Cell) BatteryDry cell or Leclanche cell is a primary cell having a zinc anode (container), a carbon (graphite)

cathode surrounded by manganese dioxide, and a paste containing ammonium chloride as electrolyte.

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Electrochemistry and Energy Storage Systems 27

The electromotive force (emf) produced by a dry cell is 1.5V. Dry cell is not reversible andtherefore have a limited operating life.Cell Representation:

Zn | Zn2+ | 4NH | MnO2, C

Figure 1.12: Leclanche dry cell

The half-reactions at the anode and the cathode can be summarized as follows:Anode: Zn Zn2+ + 2e–

Cathode: 2MnO2 + 2 4NH + 2e– Mn2O3 + 2NH3 + H2O

Overall reaction:

Zn + 2MnO2 + 2 4NH Zn2+ + Mn2O3 + 2NH3 + H2O

Advantages:● Inexpensive, safe and available in many sizes.

Disadvantages:● At high current drain, NH3 gas builds up causing drop in voltage. Short shelf life.

Applications: It is used in common household items, flash lights, toys, etc.

1.3.3.2 Nickel-Cadmium (Ni-Cd) BatteryThis is a secondary storage battery. Nickel cadmium cell consists of nickel wire gauze electrode

grids. The anode grid consists of a mixture of spongy cadmium with 78% Cd(OH)2, 18% Fe, 1% Niand 1% graphite. The cathode grid contains mixture of 80% NiOOH and Ni(OH)2, 2% Co(OH)2, 18%graphite and traces of barium compounds. 6M KOH is used as electrolyte.

In a button type cell, cell cup acts as cathode and cell cover acts as anode. The electrodes areseparated by fine porous separated soaked in KOH electrolyte. A sealing washer is used to separateanode and cathode compartments without any contacts.