19.39) For each of the following pairs, predict which substance has the higher entropy per mole at a given temperature: (a) I2(s) or I2(8) (b) O2(8) at 50.7 kPa or O2 at 101.3 kPa (c) 1 mol of N, in 22.4Lor1 mol of N2 in 44.8 L. (d) CH;OH(I) or CH3ОH (s).

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Please help me answer question 19.39 show work if any. Thank you very much
### Entropy and Microstates

**Exercise 19.39**
For each of the following pairs, predict which substance has the higher entropy per mole at a given temperature:

- **(a)** I₂(s) or I₂(g)
- **(b)** O₂(g) at 50.7 kPa or O₂ at 101.3 kPa
- **(c)** CO₂(g) and Ar(g) have nearly the same molar mass. At a given temperature, they will have the same number of microstates.
- **(d)** CH₃OH(l) or CH₃OH(s)

**Exercise 19.40**
For each of the following, predict which substance possesses the larger entropy per mole:

- **(a)** 1 mol of O₂(g) at 300°C, 1.013 kPa, or 1 mol of O₂(g) at 300°C, 101.3 kPa.
- **(b)** 1 mol of H₂O(g) at 300°C, 101.3 kPa, or 1 mol of H₂O(l) at 100°C, 101.3 kPa.
- **(c)** 0.5 mol of N₂(g) at 298 K, 20-L volume, or 0.5 mol CH₃OH(l) at 298 K.
- **(d)** 100 g of Na₂SO₄(s) at 100°C or 100 g of Na₂SO₄(aq) at 30°C.

**Exercise 19.41**
Predict the sign of the entropy change of the system for each of the following reactions:

[End of transcription]

### Explanation:
The text discusses exercises related to entropy, a measure of disorder or randomness in a system. Students are asked to compare the entropy of different substances or conditions, predicting which has a higher entropy based on factors like state of matter (solid, liquid, gas), pressure, temperature, and chemical composition. This helps in understanding how entropy changes in physical and chemical processes.
Transcribed Image Text:### Entropy and Microstates **Exercise 19.39** For each of the following pairs, predict which substance has the higher entropy per mole at a given temperature: - **(a)** I₂(s) or I₂(g) - **(b)** O₂(g) at 50.7 kPa or O₂ at 101.3 kPa - **(c)** CO₂(g) and Ar(g) have nearly the same molar mass. At a given temperature, they will have the same number of microstates. - **(d)** CH₃OH(l) or CH₃OH(s) **Exercise 19.40** For each of the following, predict which substance possesses the larger entropy per mole: - **(a)** 1 mol of O₂(g) at 300°C, 1.013 kPa, or 1 mol of O₂(g) at 300°C, 101.3 kPa. - **(b)** 1 mol of H₂O(g) at 300°C, 101.3 kPa, or 1 mol of H₂O(l) at 100°C, 101.3 kPa. - **(c)** 0.5 mol of N₂(g) at 298 K, 20-L volume, or 0.5 mol CH₃OH(l) at 298 K. - **(d)** 100 g of Na₂SO₄(s) at 100°C or 100 g of Na₂SO₄(aq) at 30°C. **Exercise 19.41** Predict the sign of the entropy change of the system for each of the following reactions: [End of transcription] ### Explanation: The text discusses exercises related to entropy, a measure of disorder or randomness in a system. Students are asked to compare the entropy of different substances or conditions, predicting which has a higher entropy based on factors like state of matter (solid, liquid, gas), pressure, temperature, and chemical composition. This helps in understanding how entropy changes in physical and chemical processes.
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