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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![**Question 10 of 20**
**What is S° for B in the reaction 5 A → 4 B if ΔS°(rxn) = -218.6 J/mol·K? [S°(A) = 220.0 J/mol·K]**
To solve this problem, we need to determine the standard molar entropy (S°) for substance B in the reaction using the given entropy change for the reaction and the entropy of substance A.
**Calculation:**
Given:
- Reaction: 5 A → 4 B
- ΔS°(rxn) = -218.6 J/mol·K
- S°(A) = 220.0 J/mol·K
Use the formula for the entropy change of the reaction:
\[
\Delta S^\circ (\text{rxn}) = \sum \left( n \cdot S^\circ \right)_{\text{products}} - \sum \left( n \cdot S^\circ \right)_{\text{reactants}}
\]
Substitute the known values:
\[
-218.6 = 4 \cdot S^\circ (B) - 5 \cdot 220.0
\]
Solve for \( S^\circ (B) \).
**User Interface:**
The interface includes a numeric keypad with options to input numerical values and perform calculations. Functions include basic numeric input (0-9), decimal point, and exponential notation (x10^). There are also backspace and clear (C) buttons for editing inputs.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8099e47-3d0e-448d-afd1-356c22244100%2F30a7b3af-f9de-49bb-94c1-ab219c7b4e49%2Fnk6qxf_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 10 of 20**
**What is S° for B in the reaction 5 A → 4 B if ΔS°(rxn) = -218.6 J/mol·K? [S°(A) = 220.0 J/mol·K]**
To solve this problem, we need to determine the standard molar entropy (S°) for substance B in the reaction using the given entropy change for the reaction and the entropy of substance A.
**Calculation:**
Given:
- Reaction: 5 A → 4 B
- ΔS°(rxn) = -218.6 J/mol·K
- S°(A) = 220.0 J/mol·K
Use the formula for the entropy change of the reaction:
\[
\Delta S^\circ (\text{rxn}) = \sum \left( n \cdot S^\circ \right)_{\text{products}} - \sum \left( n \cdot S^\circ \right)_{\text{reactants}}
\]
Substitute the known values:
\[
-218.6 = 4 \cdot S^\circ (B) - 5 \cdot 220.0
\]
Solve for \( S^\circ (B) \).
**User Interface:**
The interface includes a numeric keypad with options to input numerical values and perform calculations. Functions include basic numeric input (0-9), decimal point, and exponential notation (x10^). There are also backspace and clear (C) buttons for editing inputs.
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