Consider the following reaction: C,t, (g) = CzHu (G) + Hz (g) AH°= +137 kJ/moh AS°=+(0 Jhwol.K At which specific temperatures do you expect this reaction to be spontaneous?

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Chapter1: Chemical Foundations
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Consider the following reaction:
C,t, (g) = CzHu (G) + Hz (g)
AH°= +137 kJ/moh AS°=+(0 Jhwol.K
At which specific temperatures do you expect
this reaction to be spontaneous?
Transcribed Image Text:Consider the following reaction: C,t, (g) = CzHu (G) + Hz (g) AH°= +137 kJ/moh AS°=+(0 Jhwol.K At which specific temperatures do you expect this reaction to be spontaneous?
Expert Solution
Introduction

For any reaction that proceeds spontaneously, the value of free energy that is Delta G remains always less than zero (negative value). This means that reactants' free energy which are available in the initial state has greater Delta G than that of products.

Given Data:

Chemistry homework question answer, step 1, image 1

Calculations

The given reaction is shown below.

Chemistry homework question answer, step 2, image 1

The Gibbs Helmholtz expression is shown below.

Chemistry homework question answer, step 2, image 2

Here,

Chemistry homework question answer, step 2, image 3

Chemistry homework question answer, step 2, image 4

Therefore, the expression (I) will becomes as follows:

Chemistry homework question answer, step 2, image 5

Now substitute the known values in the expression (II) to calculate the temperature.

Chemistry homework question answer, step 2, image 6

Therefore, this shows that the reaction is spontaneous at the temperature above 13700 K.

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