**Section 4.3** **P4.12** Use the following data at 298.15 K to complete this problem: | Reaction | \(\Delta_r H^\circ \) (kJ mol\(^{-1}\)) | |-----------------------------------|--------------------------------------| | \( \frac{1}{2} \text{H}_2(g) + \frac{1}{2} \text{O}_2(g) \rightarrow \text{OH}(g) \) | 38.95 | | \( \text{H}_2(g) + \frac{1}{2} \text{O}_2(g) \rightarrow \text{H}_2\text{O}(g) \) | -241.814 | | \( \text{H}_2(g) \rightarrow 2\text{H}(g) \) | 435.994 | | \( \text{O}_2(g) \rightarrow 2\text{O}(g) \) | 498.34 | Assuming ideal gas behavior, calculate \( \Delta_r H^\circ \) and \( \Delta_r U^\circ \) for the following three reactions. a. \( \text{OH}(g) \rightarrow \text{H}(g) + \text{O}(g) \) b. \( \text{H}_2\text{O}(g) \rightarrow 2\text{H}(g) + \text{O}(g) \) c. \( \text{H}_2\text{O}(g) \rightarrow \text{H}(g) + \text{OH}(g) \)

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P4.12a

**Section 4.3**

**P4.12** Use the following data at 298.15 K to complete this problem:

| Reaction                          | \(\Delta_r H^\circ \) (kJ mol\(^{-1}\)) |
|-----------------------------------|--------------------------------------|
| \( \frac{1}{2} \text{H}_2(g) + \frac{1}{2} \text{O}_2(g) \rightarrow \text{OH}(g) \) | 38.95                         |
| \( \text{H}_2(g) + \frac{1}{2} \text{O}_2(g) \rightarrow \text{H}_2\text{O}(g) \) | -241.814                      |
| \( \text{H}_2(g) \rightarrow 2\text{H}(g) \)                  | 435.994                        |
| \( \text{O}_2(g) \rightarrow 2\text{O}(g) \)                  | 498.34                         |

Assuming ideal gas behavior, calculate \( \Delta_r H^\circ \) and \( \Delta_r U^\circ \) for the following three reactions.

a. \( \text{OH}(g) \rightarrow \text{H}(g) + \text{O}(g) \)

b. \( \text{H}_2\text{O}(g) \rightarrow 2\text{H}(g) + \text{O}(g) \)

c. \( \text{H}_2\text{O}(g) \rightarrow \text{H}(g) + \text{OH}(g) \)
Transcribed Image Text:**Section 4.3** **P4.12** Use the following data at 298.15 K to complete this problem: | Reaction | \(\Delta_r H^\circ \) (kJ mol\(^{-1}\)) | |-----------------------------------|--------------------------------------| | \( \frac{1}{2} \text{H}_2(g) + \frac{1}{2} \text{O}_2(g) \rightarrow \text{OH}(g) \) | 38.95 | | \( \text{H}_2(g) + \frac{1}{2} \text{O}_2(g) \rightarrow \text{H}_2\text{O}(g) \) | -241.814 | | \( \text{H}_2(g) \rightarrow 2\text{H}(g) \) | 435.994 | | \( \text{O}_2(g) \rightarrow 2\text{O}(g) \) | 498.34 | Assuming ideal gas behavior, calculate \( \Delta_r H^\circ \) and \( \Delta_r U^\circ \) for the following three reactions. a. \( \text{OH}(g) \rightarrow \text{H}(g) + \text{O}(g) \) b. \( \text{H}_2\text{O}(g) \rightarrow 2\text{H}(g) + \text{O}(g) \) c. \( \text{H}_2\text{O}(g) \rightarrow \text{H}(g) + \text{OH}(g) \)
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