Required information The PV diagram shown is for a heat engine that uses 1.230 mol of a diatomic ideal gas as its working substance. In the constant-temperature processes A and C, the gas is in contact with reservoirs at temperatures 373 K and 273 K, respectively. In constant-volume process B, the gas temperature decreases as heat flows into the cold reservoir. In constant-volume process D, the gas temperature increases as heat flows from the hot reservoir. 160 150 A 140 D 373 K 130 120 B 110 100 273 K C 90 80 0.019 0.023 Volume (m³) 0.02 0.021 0.022 0.024 0.025 0.026 Pressure (kPa)

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### Required Information

The \( PV \) diagram shown is for a heat engine that uses 1.230 mol of a diatomic ideal gas as its working substance. In the constant-temperature processes \( A \) and \( C \), the gas is in contact with reservoirs at temperatures 373 K and 273 K, respectively. In constant-volume process \( B \), the gas temperature decreases as heat flows into the cold reservoir. In constant-volume process \( D \), the gas temperature increases as heat flows from the hot reservoir.

### Diagram Details

The \( PV \) diagram features:

- **Axes:**
  - **Pressure (kPa):** Ranges from 80 kPa to 160 kPa.
  - **Volume (m³):** Ranges from 0.019 m³ to 0.026 m³.

- **Processes:**
  - **\( A \) (373 K):** A constant-temperature process where the pressure decreases with increasing volume.
  - **\( B \):** A constant-volume process with a pressure decrease.
  - **\( C \) (273 K):** A constant-temperature process where the pressure increases with decreasing volume.
  - **\( D \):** A constant-volume process with a pressure increase.

### Problem Statement

What is the work done by the engine during process \( A \) in the cycle?

\[ \boxed{ \text{ J} } \]
Transcribed Image Text:### Required Information The \( PV \) diagram shown is for a heat engine that uses 1.230 mol of a diatomic ideal gas as its working substance. In the constant-temperature processes \( A \) and \( C \), the gas is in contact with reservoirs at temperatures 373 K and 273 K, respectively. In constant-volume process \( B \), the gas temperature decreases as heat flows into the cold reservoir. In constant-volume process \( D \), the gas temperature increases as heat flows from the hot reservoir. ### Diagram Details The \( PV \) diagram features: - **Axes:** - **Pressure (kPa):** Ranges from 80 kPa to 160 kPa. - **Volume (m³):** Ranges from 0.019 m³ to 0.026 m³. - **Processes:** - **\( A \) (373 K):** A constant-temperature process where the pressure decreases with increasing volume. - **\( B \):** A constant-volume process with a pressure decrease. - **\( C \) (273 K):** A constant-temperature process where the pressure increases with decreasing volume. - **\( D \):** A constant-volume process with a pressure increase. ### Problem Statement What is the work done by the engine during process \( A \) in the cycle? \[ \boxed{ \text{ J} } \]
**Required Information**

The PV diagram shown is for a heat engine that uses 1.230 mol of a diatomic ideal gas as its working substance. In the constant-temperature processes A and C, the gas is in contact with reservoirs at temperatures 373 K and 273 K, respectively. In constant-volume process B, the gas temperature decreases as heat flows into the cold reservoir. In constant-volume process D, the gas temperature increases as heat flows from the hot reservoir.

**Graph Explanation:**

The graph is a Pressure-Volume (PV) diagram. The x-axis represents Volume (m³) ranging from 0.019 to 0.026 m³, and the y-axis represents Pressure (kPa) ranging from 80 to 160 kPa.

Key processes on the diagram:
- **A:** Constant temperature at 373 K where the pressure decreases as the volume increases.
- **B:** Constant volume where the pressure decreases.
- **C:** Constant temperature at 273 K where the pressure increases as the volume decreases.
- **D:** Constant volume where the pressure increases.

**Question:**

What is the work done by the engine during process B in the cycle?

□ J
Transcribed Image Text:**Required Information** The PV diagram shown is for a heat engine that uses 1.230 mol of a diatomic ideal gas as its working substance. In the constant-temperature processes A and C, the gas is in contact with reservoirs at temperatures 373 K and 273 K, respectively. In constant-volume process B, the gas temperature decreases as heat flows into the cold reservoir. In constant-volume process D, the gas temperature increases as heat flows from the hot reservoir. **Graph Explanation:** The graph is a Pressure-Volume (PV) diagram. The x-axis represents Volume (m³) ranging from 0.019 to 0.026 m³, and the y-axis represents Pressure (kPa) ranging from 80 to 160 kPa. Key processes on the diagram: - **A:** Constant temperature at 373 K where the pressure decreases as the volume increases. - **B:** Constant volume where the pressure decreases. - **C:** Constant temperature at 273 K where the pressure increases as the volume decreases. - **D:** Constant volume where the pressure increases. **Question:** What is the work done by the engine during process B in the cycle? □ J
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