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 carbon dioxide (CO₂) gas. A few grams of water vapor (H₂O). A few moles of nitrogen (N₂) gas. Change The carbon dioxide is heated from -18.0 °C to 79.0 °C and also expands from a volume of 2.0 L to a volume of 12.0 L. The water condenses to a liquid at a constant temperature of 10.0 °C. The nitrogen is compressed from a volume of 13.0 L to a volume of 1.0 L while the temperature is held constant at 9.0 °C. O ΔS AS < 0 OAS >0 AS = 0 not enough information O AS<0 O AS = 0 OAS >0 O not enough information ΔS < 0 OAS = 0 OAS >0 Ο not enough information

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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                          | Change                                                                                                                                  | \( \Delta S \)                  |
|---------------------------------|----------------------------------------------------------------------------------------------------------------------------------------|---------------------------------|
| A few moles of carbon dioxide (\(\text{CO}_2\)) gas. | The carbon dioxide is heated from -18.0 °C to 79.0 °C and also expands from a volume of 2.0 L to a volume of 12.0 L.                      | \( \Delta S > 0 \)              |
| A few grams of water vapor (\(\text{H}_2\text{O}\)). | The water condenses to a liquid at a constant temperature of 10.0 °C.                                                                | \( \Delta S < 0 \)              |
| A few moles of nitrogen (\(\text{N}_2\)) gas.    | The nitrogen is compressed from a volume of 13.0 L to a volume of 1.0 L while the temperature is held constant at 9.0 °C.            | \( \Delta S < 0 \)              |

### Explanation of Table

- **System**: Refers to the substance involved in the change, given in chemical formula form.
  
- **Change**: Describes the specific process or transitions occurring for each system, particularly in terms of temperature, volume, and phase.

- **\( \Delta S \)**: Represents the change in entropy due to the described change in the system. Options indicate if the entropy decreases (\( \Delta S < 0 \)), stays the same (\( \Delta S = 0 \)), increases (\( \Delta S > 0 \)), or if there is not enough information to decide. 

### Detailed Analysis

- **Carbon Dioxide (\(\text{CO}_2\)) Gas**: Heating and expansion both contribute to an increase in entropy, hence \( \Delta S > 0 \).
  
- **Water Vapor (\(\text{H}_2\))**: Condensation to liquid decreases entropy, hence \( \Delta S < 0 \).

- **
Transcribed Image Text: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 | Change | \( \Delta S \) | |---------------------------------|----------------------------------------------------------------------------------------------------------------------------------------|---------------------------------| | A few moles of carbon dioxide (\(\text{CO}_2\)) gas. | The carbon dioxide is heated from -18.0 °C to 79.0 °C and also expands from a volume of 2.0 L to a volume of 12.0 L. | \( \Delta S > 0 \) | | A few grams of water vapor (\(\text{H}_2\text{O}\)). | The water condenses to a liquid at a constant temperature of 10.0 °C. | \( \Delta S < 0 \) | | A few moles of nitrogen (\(\text{N}_2\)) gas. | The nitrogen is compressed from a volume of 13.0 L to a volume of 1.0 L while the temperature is held constant at 9.0 °C. | \( \Delta S < 0 \) | ### Explanation of Table - **System**: Refers to the substance involved in the change, given in chemical formula form. - **Change**: Describes the specific process or transitions occurring for each system, particularly in terms of temperature, volume, and phase. - **\( \Delta S \)**: Represents the change in entropy due to the described change in the system. Options indicate if the entropy decreases (\( \Delta S < 0 \)), stays the same (\( \Delta S = 0 \)), increases (\( \Delta S > 0 \)), or if there is not enough information to decide. ### Detailed Analysis - **Carbon Dioxide (\(\text{CO}_2\)) Gas**: Heating and expansion both contribute to an increase in entropy, hence \( \Delta S > 0 \). - **Water Vapor (\(\text{H}_2\))**: Condensation to liquid decreases entropy, hence \( \Delta S < 0 \). - **
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