Chemistry
Chemistry
4th Edition
ISBN: 9780393919370
Author: Thomas R. Gilbert
Publisher: NORTON
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Chapter 5, Problem 5.120AP
Interpretation Introduction

Interpretation: The standard enthalpy change for the balanced reaction is to be calculated.

Concept introduction: The standard enthalpy change for a balanced reaction (ΔHbalanced rxnο) is calculated by the formula,

ΔHbalanced rxnο=n×ΔHfο(Products)m×ΔHfο(Reactants)

To determine: The standard enthalpy change for the balanced chemical reaction.

Expert Solution & Answer
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Answer to Problem 5.120AP

Solution

The standard enthalpy change for the balanced chemical reaction is -5,118.4kJ_ .

Explanation of Solution

Explanation

The given reactions are stated as,

Zn(s)+18S8(s)ZnS(s)ZnS(s)+2O2(g)ZnSO4(s)18S8(s)+O2(g)SO2(g)

Refer Appendix 4 .

The standard enthalpy of formation of SO2(g) , (ΔHf, SO2(g)ο) is 296.8kJ/mol .

The standard enthalpy of formation of ZnSO4(s) , (ΔHf, ZnSO4(s)ο) is 982.8kJ/mol .

The standard enthalpy of formation of O2(g) , (ΔHf, O2(g)ο) is 0kJ/mol .

The standard enthalpy of formation of Zn(s) , (ΔHf, Zn(s)ο) is 0kJ/mol .

The standard enthalpy of formation of S8(s) , (ΔHf, S8(s)ο) is 0kJ/mol .

Add the above reaction stated as given.

Zn(s)+18S8(s)ZnS(s)ZnS(s)+2O2(g)ZnSO4(s)18S8(s)+O2(g)SO2(g)

Zn(s)+14S8(s)+3O2(g)+ZnS(s)ZnSO4(s)+SO2(g)+ZnS(s)_¯ (1)

Eliminate the common terms of equation (1).

Zn(s)+14S8(s)+3O2(g)ZnSO4(s)+SO2(g) (2)

The overall equation (2) is not in balanced form as fraction 1/4 is the coefficient of S8(s) .

To remove the fraction coefficient of S8(s) , multiply the equation (2) with four.

4×(Zn(s)+14S8(s)+3O2(g)ZnSO4(s)+SO2(g))

4Zn(s)+S8(s)+12O2(g)4ZnSO4(s)+4SO2(g)_¯ .(3)

The equation (3) is now in overall balanced form.

The standard enthalpy change for a balanced reaction (ΔHbalanced rxnο) is calculated by the formula,

ΔHbalanced rxnο=n×ΔHfο(Products)m×ΔHfο(Reactants) (4)

Where,

  • ΔHfο(Products) is standard enthalpy of formation of the products.
  • ΔHfο(Reactants) is of standard enthalpy of formation of the reactants.
  • n is number of moles of products.
  • m is number of moles of reactants.

In the balanced chemical equation (3) the,

  • Number of moles of product ZnSO4(s) is 4 .
  • Number of moles of product SO2(g) is 4 .
  • Number of moles of reactant Zn(s) is 4 .
  • Number of moles of reactant S8(s) is 1 .
  • Number of moles of reactant O2(g) is 12 .

The n×ΔHfο(Products) for the balanced chemical reaction is calculated by the formula,

n×ΔHfο(Products)=4mol×(ΔHf, ZnSO4(s)ο)+4mol×(ΔHf, SO2(g)ο) (5)

Substitute the value of ΔHf, ZnSO4(s)ο and ΔHf, SO2(g)ο in equation (5).

n×ΔHfο(Products)=4mol×982.8kJ/mol+4mol×296.8kJ/mol=3,931.2kJ1,187.2kJ=5,118.4kJ

The m×ΔHfο(Reactants) for the balanced chemical reaction is calculated by the formula,

m×ΔHfο(Reactants)=4mol×(ΔHf, Zn(s)ο)+1mol×(ΔHf, S8(s)ο)+12mol×(ΔHf, O2(g)ο)

Substitute the values of ΔHf, Zn(s)ο , ΔHf, S8(s)ο and ΔHf, O2(g)ο in above expression.

m×ΔHfο(Reactants)=4mol×0kJ/mol+1mol×0kJ/mol+12mol×0kJ/mol=0kJ

Substitute the values of n×ΔHfο(Products) and m×ΔHfο(Reactants) in equation (2).

ΔHbalanced rxnο=5,118.4kJ0kJ=5,118.4kJ

Hence, the standard enthalpy change for the balanced chemical reaction is -5,118.4kJ_ .

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Chapter 5 Solutions

Chemistry

Ch. 5.5 - Prob. 11PECh. 5.6 - Prob. 12PECh. 5.6 - Prob. 13PECh. 5.7 - Prob. 14PECh. 5.7 - Prob. 15PECh. 5.7 - Prob. 16PECh. 5.8 - Prob. 17PECh. 5 - Prob. 5.1VPCh. 5 - Prob. 5.2VPCh. 5 - Prob. 5.3VPCh. 5 - Prob. 5.4VPCh. 5 - Prob. 5.5VPCh. 5 - Prob. 5.6VPCh. 5 - Prob. 5.7VPCh. 5 - Prob. 5.8VPCh. 5 - Prob. 5.9QPCh. 5 - Prob. 5.10QPCh. 5 - Prob. 5.11QPCh. 5 - Prob. 5.12QPCh. 5 - Prob. 5.13QPCh. 5 - Prob. 5.14QPCh. 5 - Prob. 5.15QPCh. 5 - Prob. 5.16QPCh. 5 - Prob. 5.17QPCh. 5 - Prob. 5.18QPCh. 5 - Prob. 5.19QPCh. 5 - Prob. 5.20QPCh. 5 - Prob. 5.21QPCh. 5 - Prob. 5.22QPCh. 5 - Prob. 5.23QPCh. 5 - Prob. 5.24QPCh. 5 - Prob. 5.25QPCh. 5 - Prob. 5.26QPCh. 5 - Prob. 5.27QPCh. 5 - Prob. 5.28QPCh. 5 - Prob. 5.29QPCh. 5 - Prob. 5.30QPCh. 5 - Prob. 5.31QPCh. 5 - Prob. 5.32QPCh. 5 - Prob. 5.33QPCh. 5 - Prob. 5.34QPCh. 5 - Prob. 5.35QPCh. 5 - Prob. 5.36QPCh. 5 - Prob. 5.37QPCh. 5 - Prob. 5.38QPCh. 5 - Prob. 5.39QPCh. 5 - Prob. 5.40QPCh. 5 - Prob. 5.41QPCh. 5 - Prob. 5.42QPCh. 5 - Prob. 5.43QPCh. 5 - Prob. 5.44QPCh. 5 - Prob. 5.45QPCh. 5 - Prob. 5.46QPCh. 5 - Prob. 5.47QPCh. 5 - Prob. 5.48QPCh. 5 - Prob. 5.49QPCh. 5 - Prob. 5.50QPCh. 5 - Prob. 5.51QPCh. 5 - Prob. 5.52QPCh. 5 - Prob. 5.53QPCh. 5 - Prob. 5.54QPCh. 5 - Prob. 5.55QPCh. 5 - Prob. 5.56QPCh. 5 - Prob. 5.57QPCh. 5 - Prob. 5.58QPCh. 5 - Prob. 5.59QPCh. 5 - Prob. 5.60QPCh. 5 - Prob. 5.61QPCh. 5 - Prob. 5.62QPCh. 5 - Prob. 5.65QPCh. 5 - Prob. 5.66QPCh. 5 - Prob. 5.67QPCh. 5 - Prob. 5.68QPCh. 5 - Prob. 5.69QPCh. 5 - Prob. 5.70QPCh. 5 - Prob. 5.71QPCh. 5 - Prob. 5.72QPCh. 5 - Prob. 5.73QPCh. 5 - Prob. 5.74QPCh. 5 - Prob. 5.75QPCh. 5 - Prob. 5.76QPCh. 5 - Prob. 5.77QPCh. 5 - Prob. 5.78QPCh. 5 - Prob. 5.79QPCh. 5 - Prob. 5.80QPCh. 5 - Prob. 5.81QPCh. 5 - Prob. 5.82QPCh. 5 - Prob. 5.83QPCh. 5 - Prob. 5.84QPCh. 5 - Prob. 5.85QPCh. 5 - Prob. 5.86QPCh. 5 - Prob. 5.87QPCh. 5 - Prob. 5.88QPCh. 5 - Prob. 5.89QPCh. 5 - Prob. 5.90QPCh. 5 - Prob. 5.91QPCh. 5 - Prob. 5.92QPCh. 5 - Prob. 5.93QPCh. 5 - Prob. 5.94QPCh. 5 - Prob. 5.95QPCh. 5 - Prob. 5.96QPCh. 5 - Prob. 5.97QPCh. 5 - Prob. 5.98QPCh. 5 - Prob. 5.99QPCh. 5 - Prob. 5.100QPCh. 5 - Prob. 5.101QPCh. 5 - Prob. 5.102QPCh. 5 - Prob. 5.103APCh. 5 - Prob. 5.104APCh. 5 - Prob. 5.105APCh. 5 - Prob. 5.106APCh. 5 - Prob. 5.107APCh. 5 - Prob. 5.108APCh. 5 - Prob. 5.109APCh. 5 - Prob. 5.110APCh. 5 - Prob. 5.111APCh. 5 - Prob. 5.112APCh. 5 - Prob. 5.113APCh. 5 - Prob. 5.114APCh. 5 - Prob. 5.115APCh. 5 - Prob. 5.116APCh. 5 - Prob. 5.117APCh. 5 - Prob. 5.118APCh. 5 - Prob. 5.119APCh. 5 - Prob. 5.120APCh. 5 - Prob. 5.121APCh. 5 - Prob. 5.122APCh. 5 - Prob. 5.123APCh. 5 - Prob. 5.124APCh. 5 - Prob. 5.125APCh. 5 - Prob. 5.126APCh. 5 - Prob. 5.127APCh. 5 - Prob. 5.128APCh. 5 - Prob. 5.129APCh. 5 - Prob. 5.130APCh. 5 - Prob. 5.131APCh. 5 - Prob. 5.132APCh. 5 - Prob. 5.133APCh. 5 - Prob. 5.134APCh. 5 - Prob. 5.135APCh. 5 - Prob. 5.136APCh. 5 - Prob. 5.137APCh. 5 - Prob. 5.138APCh. 5 - Prob. 5.139APCh. 5 - Prob. 5.140APCh. 5 - Prob. 5.141APCh. 5 - Prob. 5.142APCh. 5 - Prob. 5.143AP
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