Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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Use the data shown below to calculate ΔH°rxn and ΔS°rxn at 25°C for the following reaction:

\[ 2 \text{KClO}_3(s) \rightarrow 2 \text{KCl}(s) + 3 \text{O}_2(g) \]

Which of the following statements is true about this reaction at standard state conditions?

**Data Table:**

| Substance | \( \Delta H_f^\circ \)(kJ·mol\(^{-1}\)) | \( S^\circ \)(J·K\(^{-1}\)·mol\(^{-1}\)) |
|-----------|---------------------|--------------------------|
| KClO\(_3\)(s) | -397.7              | 143.1                    |
| KCl(s)      | -436.5              | 82.6                     |
| O\(_2\)(g)  | 0                    | 205.2                    |

**Options:**

A) The reaction is only nonspontaneous above its equilibrium temperature.

B) The reaction is nonspontaneous at all temperatures.

C) The reaction is spontaneous at all temperatures.

D) The reaction is only spontaneous above its equilibrium temperature.

E) None of these.
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Transcribed Image Text:Use the data shown below to calculate ΔH°rxn and ΔS°rxn at 25°C for the following reaction: \[ 2 \text{KClO}_3(s) \rightarrow 2 \text{KCl}(s) + 3 \text{O}_2(g) \] Which of the following statements is true about this reaction at standard state conditions? **Data Table:** | Substance | \( \Delta H_f^\circ \)(kJ·mol\(^{-1}\)) | \( S^\circ \)(J·K\(^{-1}\)·mol\(^{-1}\)) | |-----------|---------------------|--------------------------| | KClO\(_3\)(s) | -397.7 | 143.1 | | KCl(s) | -436.5 | 82.6 | | O\(_2\)(g) | 0 | 205.2 | **Options:** A) The reaction is only nonspontaneous above its equilibrium temperature. B) The reaction is nonspontaneous at all temperatures. C) The reaction is spontaneous at all temperatures. D) The reaction is only spontaneous above its equilibrium temperature. E) None of these.
Expert Solution
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Step 1: Basic Concept and Formula

∆°Hrxn = Σni∆H°f(Product) - Σni∆H°f(Reactant)


Where, ni and ∆°Hf are stoichiometric coefficients and Standard enthalpy of formation of respective reactant and product.


∆°Srxn = ΣniS°(Product) - ΣniS°(Reactant)


Where, ni and S° are stoichiometric coefficients and Standard molar entropies of respective reactant and product.

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