How much heat energy is transferred to or from the gas in one cycle (A to B to Cto A)?

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How much heat energy is transferred to or from the gas in one cycle (A to B to Cto A)?
**PV Diagram Analysis of O2 Gas**

Consider a 44.8 g sample of O2 gas, which follows the provided PV diagram. Provide answers to calculations using 3 significant figures.

- **Cᵥ = 20.9 J/mol K**
- **Cₚ = 29.2 J/mol K**
- **Atomic mass of O = 16u**

**Diagram Description:**

The diagram is a pressure-volume (PV) graph, where:

- **Pressure (p)** is on the vertical axis, measured in atmospheres (atm), ranging from 1.36 atm to 2.46 atm.
- **Volume (V)** is on the horizontal axis, measured in liters (L), starting from 0 to approximately 12 L.

The graph depicts three processes:

1. **A to B (Isothermal Process):**
   - The curve from A to B is slightly bowed, representing an isothermal process where temperature remains constant.
   - Pressure decreases as volume increases.

2. **B to C (Isochoric Process):**
   - The segment from B to C is vertical, indicating an isochoric process (constant volume).
   - Pressure decreases from point B to point C while the volume remains unchanged.

3. **C to A (Adiabatic Process):**
   - The curve from C back to A is an adiabatic process where no heat is exchanged with the surroundings.
   - Pressure increases as volume decreases following a distinct curve.

In summary, the PV diagram illustrates a thermodynamic cycle for O2 gas, showcasing different processes: isothermal, isochoric, and adiabatic.
Transcribed Image Text:**PV Diagram Analysis of O2 Gas** Consider a 44.8 g sample of O2 gas, which follows the provided PV diagram. Provide answers to calculations using 3 significant figures. - **Cᵥ = 20.9 J/mol K** - **Cₚ = 29.2 J/mol K** - **Atomic mass of O = 16u** **Diagram Description:** The diagram is a pressure-volume (PV) graph, where: - **Pressure (p)** is on the vertical axis, measured in atmospheres (atm), ranging from 1.36 atm to 2.46 atm. - **Volume (V)** is on the horizontal axis, measured in liters (L), starting from 0 to approximately 12 L. The graph depicts three processes: 1. **A to B (Isothermal Process):** - The curve from A to B is slightly bowed, representing an isothermal process where temperature remains constant. - Pressure decreases as volume increases. 2. **B to C (Isochoric Process):** - The segment from B to C is vertical, indicating an isochoric process (constant volume). - Pressure decreases from point B to point C while the volume remains unchanged. 3. **C to A (Adiabatic Process):** - The curve from C back to A is an adiabatic process where no heat is exchanged with the surroundings. - Pressure increases as volume decreases following a distinct curve. In summary, the PV diagram illustrates a thermodynamic cycle for O2 gas, showcasing different processes: isothermal, isochoric, and adiabatic.
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