Is the reaction spontaneous at 298 K? yes no

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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The chemical reaction under consideration is:

\[ \text{Ca}(s) + 2 \text{H}_2\text{O}(\ell) \rightarrow \text{Ca(OH)}_2(\text{aq}) + \text{H}_2(\text{g}) \]

The table below displays the standard enthalpy of formation (\(\Delta_f H^\circ\)) and the standard entropy (\(S^\circ\)) for each substance involved in the reaction:

| Substance         | \(\Delta_f H^\circ\) (kJ/mol) | \(S^\circ\) (J/K·mol) |
|-------------------|---------------------------|-------------------|
| Ca(s)             | 0                         | 41.59             |
| H\(_2\)O(\(\ell\))| -285.83                   | 69.95             |
| Ca(OH)\(_2\)(aq)  | -1002.82                  | -74.5             |
| H\(_2\)(g)        | 0                         | 130.7             |
Transcribed Image Text:The chemical reaction under consideration is: \[ \text{Ca}(s) + 2 \text{H}_2\text{O}(\ell) \rightarrow \text{Ca(OH)}_2(\text{aq}) + \text{H}_2(\text{g}) \] The table below displays the standard enthalpy of formation (\(\Delta_f H^\circ\)) and the standard entropy (\(S^\circ\)) for each substance involved in the reaction: | Substance | \(\Delta_f H^\circ\) (kJ/mol) | \(S^\circ\) (J/K·mol) | |-------------------|---------------------------|-------------------| | Ca(s) | 0 | 41.59 | | H\(_2\)O(\(\ell\))| -285.83 | 69.95 | | Ca(OH)\(_2\)(aq) | -1002.82 | -74.5 | | H\(_2\)(g) | 0 | 130.7 |
**Spontaneity of a Reaction at 298 K**

The image poses a question regarding the spontaneity of a chemical reaction at 298 Kelvin. It offers two options to select from:

- ○ yes
- ○ no

This question is likely part of a learning module on thermodynamics, focusing on concepts such as Gibbs free energy to determine spontaneity. The spontaneity of a reaction can be calculated using the equation:

\[ \Delta G = \Delta H - T \Delta S \]

Where:
- \( \Delta G \) is the change in Gibbs free energy,
- \( \Delta H \) is the change in enthalpy,
- \( T \) is the temperature in Kelvin,
- \( \Delta S \) is the change in entropy.

A reaction is spontaneous when \( \Delta G < 0 \) (negative). At 298 K, students must evaluate the reaction conditions to determine if option "yes" or "no" is correct based on the provided data or context.
Transcribed Image Text:**Spontaneity of a Reaction at 298 K** The image poses a question regarding the spontaneity of a chemical reaction at 298 Kelvin. It offers two options to select from: - ○ yes - ○ no This question is likely part of a learning module on thermodynamics, focusing on concepts such as Gibbs free energy to determine spontaneity. The spontaneity of a reaction can be calculated using the equation: \[ \Delta G = \Delta H - T \Delta S \] Where: - \( \Delta G \) is the change in Gibbs free energy, - \( \Delta H \) is the change in enthalpy, - \( T \) is the temperature in Kelvin, - \( \Delta S \) is the change in entropy. A reaction is spontaneous when \( \Delta G < 0 \) (negative). At 298 K, students must evaluate the reaction conditions to determine if option "yes" or "no" is correct based on the provided data or context.
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