For each system listed in the first column of the table below, decide (if possible) whether the change described in the second column will increase the entropy S of the system, decrease S, or leave S unchanged. If you don't have enough information to decide, check the "not enough information" button in the last column. System A few moles of nitrogen (N₂) gas. A few moles of nitrogen (N₂) gas. A few grams of liquid acetone ((CH3)2CO). Change The nitrogen is cooled from 51.0 °C to -7.0 °C and is also expanded from a volume of 3.0 L to a volume of 14.0 L. The nitrogen expands from a volume of 7.0 L to a volume of 12.0 L while the temperature is held constant at 8.0 °C. The acetone is cooled from 64.0 °C to 5.0 °C. X AS AS < 0 AS = 0 AS> 0 not enough information AS < 0 AS = 0 O AS> 0 not enough information O AS<0 O AS=0 AS > 0 not enough information 5

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The table provided discusses changes in entropy (\( \Delta S \)) for different systems under specified conditions. The goal is to determine if entropy increases, decreases, or remains unchanged for each system based on the described changes.

### Table Structure:

1. **System:**
   - A few moles of nitrogen (\( \text{N}_2 \)) gas.
   - A few moles of nitrogen (\( \text{N}_2 \)) gas.
   - A few grams of liquid acetone (\((\text{CH}_3)_2\text{CO}\)).

2. **Change:**
   - **First Row:** The nitrogen is cooled from 51.0 °C to -7.0 °C and expanded from a volume of 3.0 L to a volume of 14.0 L.
   - **Second Row:** The nitrogen expands from a volume of 7.0 L to 12.0 L at a constant temperature of 8.0 °C.
   - **Third Row:** The acetone is cooled from 64.0 °C to 5.0 °C.

3. **Entropy Change (\( \Delta S \)):**
   - Options for the change in entropy:
     - \( \Delta S < 0 \) (Entropy decreases)
     - \( \Delta S = 0 \) (Entropy remains unchanged)
     - \( \Delta S > 0 \) (Entropy increases)
     - Not enough information to decide.

### Analysis:

- **First Row:** The expansion of the gas likely increases entropy due to increased volume, despite the decrease in temperature.
- **Second Row:** The gas expansion at constant temperature generally leads to increased entropy.
- **Third Row:** Cooling the acetone likely decreases entropy due to a reduction in temperature.

Each row requires analysis to determine the net effect on entropy, considering both temperature changes and volume changes.
Transcribed Image Text:The table provided discusses changes in entropy (\( \Delta S \)) for different systems under specified conditions. The goal is to determine if entropy increases, decreases, or remains unchanged for each system based on the described changes. ### Table Structure: 1. **System:** - A few moles of nitrogen (\( \text{N}_2 \)) gas. - A few moles of nitrogen (\( \text{N}_2 \)) gas. - A few grams of liquid acetone (\((\text{CH}_3)_2\text{CO}\)). 2. **Change:** - **First Row:** The nitrogen is cooled from 51.0 °C to -7.0 °C and expanded from a volume of 3.0 L to a volume of 14.0 L. - **Second Row:** The nitrogen expands from a volume of 7.0 L to 12.0 L at a constant temperature of 8.0 °C. - **Third Row:** The acetone is cooled from 64.0 °C to 5.0 °C. 3. **Entropy Change (\( \Delta S \)):** - Options for the change in entropy: - \( \Delta S < 0 \) (Entropy decreases) - \( \Delta S = 0 \) (Entropy remains unchanged) - \( \Delta S > 0 \) (Entropy increases) - Not enough information to decide. ### Analysis: - **First Row:** The expansion of the gas likely increases entropy due to increased volume, despite the decrease in temperature. - **Second Row:** The gas expansion at constant temperature generally leads to increased entropy. - **Third Row:** Cooling the acetone likely decreases entropy due to a reduction in temperature. Each row requires analysis to determine the net effect on entropy, considering both temperature changes and volume changes.
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