Consider the reaction:\[ 2\text{SO}_2(g) + \text{O}_2(g) \rightarrow 2\text{SO}_3(g) \]Using standard absolute entropies at 298 K, calculate the entropy change for the system when 1.82 moles of \(\text{SO}_2(g)\) react at standard conditions.| Substance | \( S^\circ \) \((\frac{J}{K \cdot \text{mol}})\) ||-----------|---------------------------------------------|| \(\text{SO}_3(g)\) | 256.8 || \(\text{SO}_2(g)\) | 248.2 || \(\text{O}_2(g)\) | 205.1 |\[ \Delta S^\circ_{\text{system}} = \,\,\, \, \, \,\,\, \, \, \,\,\, \, \, \, \, \, \, \text{J/K} \]

Entropy is a thermodynamics property which measure the randomness of the reaction. Entropy is additive in nature. The entropy change of the reaction ∆Sreaction0is equal to the difference between the entropies of product ∆Sproduct0 and the entropies of reactant ∆Sreactant0 under standard conditions. ∆Sreaction0=∑∆Sproduct0-∑∆Sreactant0 Given reaction: 2SO2(g) + O2(g) →2SO3(g) The entropy change of the given reaction ∆Sreaction0 is calculated as follows: ∆Sreaction0=2×∆SSO30-2×∆SSO20+1×∆SO20∆Sreaction0=2 mol×256.8 J K-1mol-1 - 2 mol×248.2 J K-1mol-1+ 1 mol205.1 J K-1mol-1=513.6 J K-1-496.4 J K-1-205.1 J K-1=-187.9 J K-1 Entropy change when two moles of SO2 undergo reaction is -187.9 J K-1 and therefore, entropy change corresponding to 1.82 mol SO2 is calculated as follows: ∆S°=-187.9 J K-12 mol1.82 mol=-171.0 J K-1 Hence, the entropy change is 171.0 J/K.

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Chemistry

Consider the reaction: 2SO2(g) + O2(g) → 2SO3 (9) Using standard absolute entropies at 298 K, calculate the entropy change for the system when 1.82 moles of SO₂ (g) react at standard conditions. ASO system Substance So SO3(g) SO₂(g) 02 (9) J K. mol 256.8 248.2 205.1 J/K

Consider the reaction: 2SO2(g) + O2(g) → 2SO3 (9) Using standard absolute entropies at 298 K, calculate the entropy change for the system when 1.82 moles of SO₂ (g) react at standard conditions. ASO system Substance So SO3(g) SO₂(g) 02 (9) J K. mol 256.8 248.2 205.1 J/K

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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Subject: chemistry
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