### Spontaneity and Entropy Changes in Chemical Reactions#### Reaction DetailsConsider the following reaction involving carbon dioxide, water, methane, and oxygen:\[ \text{CO}_2(g) + 2\text{H}_2\text{O}(l) \rightarrow \text{CH}_4(g) + 2\text{O}_2(g) \]#### Entropy ValuesThe table below provides the standard entropy changes ($\Delta S$) for each substance involved:| Substance | $\Delta S \, (\text{J/mol K}) $ ||-----------|-----------------------------------|| CO$_2$(g) | 213.6 || CH$_4$(g) | 186.2 || O$_2$(g) | 205.0 || H$_2$O(l) | 69.91 |#### Questions to Consider**b) What does the sign of $\Delta S$ say about the spontaneity of this reaction?**- Consider whether the overall entropy of the system increases or decreases and how this affects spontaneity.**c) Without doing any calculations, do you think this reaction is enthalpically favorable?**- Hint: Study the reaction carefully and draw upon your practical experience. Reflect on whether this reaction is generally known to be spontaneous based on your prior knowledge and observations.Understanding these concepts can help predict reaction behavior and spontaneity, crucial for both theoretical and applied chemistry.

Answered: Image /qna-images/answer/95449f2f-0c5b-4fe7-86a3-e02de186f412.jpg

S a) Calculate the standard entropy change for the reaction involving carbon dioxide, r, methane, and oxygen: CO2(e) + 2H2O0 → CH4(g) + 202(e) Substance AS (J/mol K) CO2(2) 213.6 CH4(g) 186.2 O2(g) 205.0 H2O() 69.91 What does the sign of AS say about the spontaneity of this reaction?

S a) Calculate the standard entropy change for the reaction involving carbon dioxide, r, methane, and oxygen: CO2(e) + 2H2O0 → CH4(g) + 202(e) Substance AS (J/mol K) CO2(2) 213.6 CH4(g) 186.2 O2(g) 205.0 H2O() 69.91 What does the sign of AS say about the spontaneity of this reaction?

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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