l3 energy balance reactive system

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    Energy Balance-

    in Reactive System

    1

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    2

    LEARNING OBJECTIVES

    By the end of this topic, you should be able to:

    Highlight previous lectures

    Heat of Formation

    Heat of Combustion Performed energy balance for reactive system

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    ENERGY BALANCES ON REACTIVE PROCESSES

    Previous lecture

    Heat of reaction

    r = product - reactant

    EXO: r (T, P): -ve and ENDO: r (T, P): +ve

    r nearly independent of pressure r (T)

    Value depends on the stoich. Equations

    Value of heat of reaction dep. on the phases of

    reactants and products

    Standard heat of reaction or - reactants and

    products at a specified reference temperature and

    pressure

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    ENERGY BALANCES ON REACTIVE PROCESSES

    *

    Hesss Law

    * General statement of Hesss Law

    If the stoich. Equation of for rxn 1 can be obtained byalgebraic operations on stoich. of reaction 2, 3 .. Then

    the heat of reaction or 1 can be obtained by performing

    the same operations on the heats of reactions or 2,

    or 3

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    ENERGY BALANCES ON REACTIVE PROCESSES

    * Standards heat of formation of = enthalpy changes

    when 1 mole of compound formed at a reference

    temperature and pressure (in our text 25oC and 1 atm)

    * Heat of reaction from heat of formation:

    reactants

    fi

    o

    iproducts

    fi

    o

    ifi

    o

    iir

    o

    HHHH

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    * Standards heat of formation: example to find heat of

    reaction from heats of formation

    * Heats of Combustion

    * Energy Balances on Reactive Process

    - General procedures

    *

    Today lecture

    ENERGY BALANCES ON REACTIVE PROCESSES

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    EXAMPLE 1

    * Determination of heats of reaction from heats of formation

    Determine the standard heat of reaction for the following reaction:

    Na2CO3 (s) + 2Na2S (s) + 4SO2(g) 3 Na2S2O3 (s) + CO2 (g)

    Solution

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    * Heats of Combustion

    * Standard heat of combustion oC , heat of combustion of substance with

    oxygen to yield CO2(g) and H2O(l); both reactants and products are at

    25oC and 1 atm.

    * Table B.1 lists out the standard heats of combustion

    * Tabulated data based on the assumption:

    * all carbon forms CO2(g)

    * all hydrogen forms H2O(g)

    * all sulfur forms SO2(g)

    * all nitrogen forms NO2(g)

    * Example from Table B.1

    ENERGY BALANCES ON REACTIVE PROCESSES

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    Heat of combustion for glycerol = ?

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    * Heats of Combustion (cont.)

    * Can be used to determine heat of reaction - when involve only

    combustible substances and combustion products

    * To determine the heat of reaction, use the tabulated data for heats

    of combustion

    products

    ici

    reactants

    iciic

    i

    ir )H()H()H(Hoooo

    ENERGY BALANCES ON REACTIVE PROCESSES

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    * Calculation of a Heat of Reaction from Heats of Combustion

    Calculate the standard heat of reaction for the dehydrogenation of ethane:

    C2H6 C2H4 + H2

    SOLUTION From Table B.1

    * To determine the heat of reaction, use the tabulated data for heats of combustion

    (oc )C2H6 = -1559.9 kJ/mol

    (oc )C2H4 = -1411.0 kJ/mol

    (oc )H2 = -285.84 kJ/mol

    EXAMPLE 2

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    kJ/mol136.93H

    kJ/mol285.84)(1410.99)(1559.9H

    )H()H()H(H

    r

    r

    prod ucts

    ici

    reactants

    iciic

    i

    ir

    o

    o

    oooo

    EXAMPLE 2

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    One principal application, determine heat of formation forcombustible substance whose formation reaction do not occur

    naturally:

    5 C (s) +6 H2 (g) C5H12(l) : o

    f= ?

    * (of)C5H12(l) can be determine by using the heat of combustion

    (experimental) of carbon, hydrogen and pentane:-

    (of ) C5H12 (l) = 5 (o

    c ) C (s) + 6 (oc ) H2 - (

    oc ) C5H12 (l)

    ENERGY BALANCES ON REACTIVE PROCESSES

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    Procedures

    Generally it is the same as the procedures used in solving the energy

    balances for the non-reactive system:

    - FLOWCHART!

    - MATERIAL BALANCES TO DETERMINE STREAM COMPONENTS

    - REFERENCE STATES

    - INLET-OUTLET ENTHALPY TABLE

    - CALCULATE H

    - SOLVE THE ENERGY BALANCES BY INCORPORATING THE HEAT

    OF REACTION INTO THE EQUATION

    ENERGY BALANCES ON REACTIVE PROCESSES

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    ENERGY BALANCE EQUATION

    Generally, the energy balance equation for any process unit is

    given as:

    Input + Generation - Output - Consumption = Accumulation

    Enters

    through

    system

    boundaries

    Produced

    within

    system only

    for reactive

    system (+) or

    (-)

    Leaves

    through

    system

    boundaries

    Consumed

    within

    system only

    for reactive

    system

    Buildup within

    system only for

    transient operation

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    CONCLUSION

    You have learn:

    Calculate heat of reaction using heat of formation and heat of

    combustion.

    Energy balance Equation for reactive system