Chemistry: An Atoms-Focused Approach (Second Edition)
Chemistry: An Atoms-Focused Approach (Second Edition)
2nd Edition
ISBN: 9780393614053
Author: Thomas R. Gilbert, Rein V. Kirss, Stacey Lowery Bretz, Natalie Foster
Publisher: W. W. Norton & Company
Question
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Chapter 9, Problem 9.76QA
Interpretation Introduction

To calculate:

The  H0 of the reaction for the production of SNG.

Expert Solution & Answer
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Answer to Problem 9.76QA

Solution:

H0 for the reaction 4CO(g)+8 H2g 3 CH4g+CO2g+2 H2O(g)  is -747.5  kJ.

Explanation of Solution

1) Concept:

To calculate the value of Hrxno of the overall reaction, we can use Hess’s law. We can algebraically manipulate the four equations for which Hrxno values are known so that we can calculate the Hrxno of the overall reaction. Then by applying Hess’s law, we can calculate the unknown value.

2) Given:

i) C(graphite)+2 H2g  CH4g       H0=-74.8 kJ

ii) C(graphite)+12O2g  COg         H0=-110.5 kJ

iii) COg+ 12O2g CO2g                H0=-283.0 kJ

iv) H2g+  12O2g  H2O(g)              H0=-285.8 kJ

3) Calculations:

One of the major reactions in the production of SNG is shown as

4CO(g)+8 H2g 3 CH4g+CO2g+2 H2O(g)    H0= ?

We combine equation A, B, C, and D to get the desired equation from the given reactions.

We have to multiply reaction A by 3 to get 3CH4 in the final reaction.

A. 3 C(graphite)+6 H2g  3 CH4g                     H0= -74.8×3=-224.4 kJ

We have to reverse the reaction B and multiply by 3 to get  3 C(graphite) on product side so that we can cancel it in final reaction.

B.  3 COg3 C(graphite)+32O2g                             H0= +110.5 ×3=+331.5 kJ

We have to multiply reaction D by 2 to get 2H2O in the final reaction.

D.  2 H2g+  O2g  2 H2O(g)                                H0= -285.8×2=-571.6 kJ

Now add all four equations to get the final reaction:

3 C(graphite)+6 H2g  3 CH4g                        H0= -224.4 kJ

+3 COg3 C(graphite)+32O2g                         H0=+331.5 kJ

 + COg+ 12O2g CO2g                                      H0= -283.0 kJ

+ 2 H2g+  O2g  2 H2O(g)                                H0=-571.6 kJ

4CO(g)+8 H2g 3 CH4g+CO2g+2 H2O(g) H0=-747.5 kJ

Conclusion:

We have calculated H0 of the reaction by using Hess’s law and by manipulating the reactions.

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Chapter 9 Solutions

Chemistry: An Atoms-Focused Approach (Second Edition)

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