chemistry. session opener session objectives problems related to 1. mole concept 2. stoichiometry

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Page 1: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Chemistry

Page 2: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Session Opener

Page 3: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Session Objectives

Problems related to

1. Mole concept

2. Stoichiometry

Page 4: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Simple Titrations

Find out the concentration of a solutionwith the help of a solution of knownconcentration.

1 1 2 2N V N V

For mixture of two or more substances

N1V1 + N2V2 + ……= NVWhere V=(V1 + V2 + …..)

Page 5: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Normality of mixing two acids

1 1 2 2

1 2

N V +N VN=

V + V

Normality of mixing acid and bases

1 1 2 2

1 2

N V - N VN=

V + V

2 2 1 1

1 2

N V - N Vor N=

V + V

Page 6: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Questions

Page 7: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Illustrative example 1

Find the molality of H2SO4 solution whose specific gravity(density) is 1.98 g/ml and 95% mass by volume H2SO4.

100 ml solution contains 95 g H2SO4.

95

98Moles of H2SO4 =

Mass of solution = 100 × 1.98 = 198 g

Mass of water = 198 – 95 = 103 g

Molality =

95 1000

98 103= 9.412 m

Solution:

Molality = moles of solute

mass of solvent in kg

Page 8: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Illustrative example 2A sample of H2SO4 (density 1.787 g/ml) is 86% by mass. What is molarity of acid? What volume of this acid has to be used to make 1 L of 0.2 M H2SO4?

d×10×%M=

Molecular mass

1.787×10×86= =15.68 molar

98

Let V1 ml of this H2SO4 are used to prepare 1 L of 0.2 M H2SO4.M1V1 = M2V2 15.68 × V1 = 0.2 × 1000

10.2×1000

V = =12.75 ml15.68

Solution:

Page 9: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Illustrative example 3A mixture is obtained by mixing 500ml 0.1M H2SO4 and 200ml 0.2M HCl at 250C. Find the normality of the mixture.

2 2 1 1

1 2

N V + N VWe know, N =

V + V

For the mixture, 500 0.1 2 200 0.2 1N 0.2

700

Solution:

Page 10: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Illustrative example 4500 ml 0.2 N HCl is neutralized with 250 ml 0.2 N NaOH. What is the strength of the resulting solution?

Equivalents of HCl 3500 0.2 10 eqv

Equivalents of NaOH -3= 250×0.2×10 eqv

Equivalence of excess HCl 3 3(500 0.2 10 250 0.2 10 eqv)

Normality of HCl (excess)-3 3500×10 ×10

= = 0.067 N750

Strength of HCl = .067 × 36.5 g/litre

= 2.44 g/litre

Solution:

2HCl NaOH NaCl H O

Page 11: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Solution

1 1 2 2

1 2

N V - N VN=

V + V

0.2 × 1 × 500 - 0.2 × 1 × 250N =

500 + 250

N = 2.44 N

Strength of HCl = .067 × 36.5 grams/litre

= 2.44 grams/litre

Normality of HCl (excess),

Page 12: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Illustrative example 5

Calculate the empirical formula of a mineralhaving the following composition CaO=48.0% ;P2O5=41.3% ; CaCl210.7%

9

3

1

48.0/56=0.857

41.3/142=0.291

10.7/111=0.096

56

142

111

48.0

41.3

10.7

CaO

P2O5

CaCl2

Simple ratio

Mol. Mass

%tageConstituents Relative no. of const.

%=

Mol. mass

Page 13: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Illustrative example 6

1.5 g of an impure sample of sodiumsulpate dissolved in water was treated with excess of barium chloride solutionwhen 1.74 g of BaSO4 were obtained as dry precipitate. Calculate the percentagepurity of the sample.

2 4 2 42 23 32 16 4 137 32 4 16

142gm 233gm

Na SO BaCl BaSO 2NaCl

4 2 4

4

233 gm of BaSO is produced from 142 gmNa SO

1421.74 gm of BaSO is produced from 1.74 1.06 gm

233

2 4

2 4

The mass of pure Na SO in 1.5gm ofi mpure sample is 1.06 gm

1.06%tage purity of Na SO 100 70.67%

1.5

Page 14: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Illustrative example 7

A solid mixture weighing 5.00 g containing lead nitrate and sodiumnitrate was heated below 6000C until the mass of the residue was constant.If the loss of mass is 28%, find the massof lead nitrate and sodium nitrate in themixture.

2

3 2 2 22(207 16) 4462[207(14 48) ]

662

2Pb(NO ) 2PbO 4NO O

3 2

3

Let the mass of Pb(NO ) x gm

Let the mass of NaNO 5 x gm

3

3

662gm of Pb(NO ) gives residue 446 gm

446x gm of Pb(NO ) gives residue x gm

6620.674 x gm

Page 15: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Solution

3 2 22(23 14 32) 138gm2[23 14 48]

170gm

2NaNO 2NaNO O

3

3

170gm of NaNO gives residue 138gm

138(5 x) gm of NaNO gives residue (5 x) gm

1700.812(5 x) gm

28

Actual residue obtained (5 ) 100 3.6 gm100

3 2

3

0.674x 0.812(5 x) 3.6

or 0.318x 0.46

or x 3.33 gm

Pb(NO ) in mixture 3.33gm

and NaNO in mixture 5 3.33 1.67 gm

Page 16: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Illustrative example 8What volume of oxygen isrequired to effect complete combustion of200 cm3 of acetylene and what would bethe volume of CO2 formed?

2 2 2 2 22 volume 5 volume 4 volume2C H 5O 4CO 2H O

2 2 2

According to Gay lussac's law of gaseous volumes

2 volume of C H require 5 volume of O for complete combustion

3 32 2

5200 cm of C H require 200 500 cm at STP

2

2

3 32 2 2

2 volume of produce CO 4 volume

4200cm of C H produce CO 200 400 cm at STP

2

Page 17: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Illustrative example 9The formula weight of an acid is 82.0 in a titration.100 cm3 of a solution of this acid containing 39.0 g of the acid per litre were completely neutralised by 95.0 cm3 of aqueous NaOH containing40.0 g of NaOH per litre. What is the basicity of the acid?

Let requirement wt. of acid =E

Normality of acid 39 / E

Equivalent wt. of NaOH 40 / 1

Normality of NaOH 40 / 40 1

Solution:

Page 18: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Solution

1 1 2 2(acid) (NaOH)N V N V 39

100 1 95E

E 41.0

Formula wt. 82.0Basicity of acid 2

Eq. wt 41.0

Page 19: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Illustrative example 10

Calculate approximate molecular mass of dry air containing 78% N2 and 22% O2.

Solution:

78 22Molecular mass 28 32 28.88

100 100

Page 20: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Illustrative example 11

Calculate atomic mass of elementX and Y given thatComposition of X=9.76%Relative no. of atoms of X=0.406 Composition of Y=26.01Relative no. of atoms of Y=1.625

Solution:

%tage of element 9.76Atomic mass of X 24

Relative no. of Atoms of X 0.406

%tage of element 26.01Atomic mass of Y 16

Relative no. of Atoms in Y 1.625

Page 21: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Illustrative example 12The molality of a solution of ethyl alcohol (C2H5OH) in water is 1.55m.How manygrams of ethyl alcohol are dissolved in 2kgof water?

Solution:

2

2

1000gm of H O contain 1.55mol of ethyl alcohol

1.55 20002000gmof H O contain 3.10 mol

1000Mass of ethyl alcohol 3.10 46 142.6gm

Page 22: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Illustrative example 13

You are given 1 litre of 0.15 M HCl and1 litre of 0.40 M HCl. What is the maximumvolume of 0.25 M HCl which you can make from these solutions without adding any water?

Solution:Volume of 0.25 M HCl can’t be more than 2 litresbecause no water is added X litre of 0.40M HCl be added to 1L 0.15 M HCl

1 1 2 2 3 3M V M V M V 0.15 1 0.40 X 0.25 (1 X)

0.15X 0.10

0.10X 0.667litre

0.15

Total volume of 0.25M solution 1 X

1 0.667 1.667

Page 23: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Illustrative example 14

How many ml of H2SO4 of density 1.8 g/ml containing 92.5% by volume of H2SO4 should be added to 1 litre of 40% solution of H2SO4 ( density 1.30 g/ml) in order to prepare 50% solution of H2SO4

(density 1.4 g/ml).Molarity(M ) of solution containing 92.5% of H SO1 2 4

vol. of H SO Density 1000 92.5 1.8 10002 4 16.99M98 100 98 100

2 2 4Molarity(M ) of solution containing 40% of H SO

40 1.3 10005.31M

98 100

2 4Molarity(M) of solution containing 50% of H SO

50 1.4 10007.14M

98 100

Page 24: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Solution

1 1 2 2M V M V MV

16.99 V 5.31 1 7.14(1 V)

9.85V 1.83

1.83V 0.186L

9.85V 0.186L or 186 ml

1

2

Let VL of solution with molarity(M ) is added to 1L of solution

with molarity(M ) to prepare(1 V)L of solution with molarityM,

then

Page 25: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Illustrative example 15Gastric juice contains about 3.0 g of HCl per litre. If a person producesabout 2.5 litre of gastric juice per day, how many antacid tablets each containing400 mg of Al(OH)3 are needed to neutralizeall the HCl produced in one day?

3 3 23(35.1 1) 27 3(16 1)109.5 78g

3HCl Al(OH) AlCl 3H O

Amount of HCl produced ina day 2.5 3 7.5g

3Now 109.5g of HCl require Al(OH) 78g

378

7.5 g of HCl will require Al(OH) 7.5 5.34g109.5

5.34Number of tablets required 13.35 14 tablets

0.4

Solution:

Page 26: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Illustrative example 16

Calculate the number of Cl– ions in 100 ml of 0.001 M HCl solution.

Solution:HCl is a strong acid, it ionises completely

1000ml of 0.001M HCl solution contains Cl 0.001 mole

4

0.001 100100 ml of 0.001M HCl solution contains Cl

1000

1 10 mole

Conc. of HCl is equal to that of Cl– ions

23 4

19

No. of Cl ions 6.023 10 1.0 10

6.023 10

Page 27: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Helena kabr se farar

Group 1 elements (Alkali metals)

He

Li

Na

K

Rb

Cs

Fr

Page 28: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Be

Mg

Ca

Sr

Ba

Ra

Bear mugs can serve bar rats

Group 2 elements(Alkaline earth metals)

Page 29: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

B

Al

Ga

In

Tl

Bob Allen Gave Indians Tennis Lessons

Group 13 elements (Boron family)

Page 30: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

C

Si

Ge

Sn

Pb

Can sily or Genius snatch lead

Group 14 elements (Carbon family)

Page 31: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

N

P

As

Sb

Bi

Never put arsenic in silver bullet bear

Group 15 elements (Nitrogen family)

Page 32: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

O

S

Se

Te

Po

Oh, she sells tie Poles

Group-16 elements (Oxygen family)

Page 33: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

F

Cl

Br

I

At

Fat Clyde bribed Innocent Atul

Group-17 elements (Halogen family)

Page 34: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Group-18 elements (The Noble Gas)

He

Ne

Ar

Kr

Xe

Rn

He needs our crazy Xerox repairman

Page 35: Chemistry. Session Opener Session Objectives Problems related to 1. Mole concept 2. Stoichiometry

Thank you