One mole of an ideal gas undergoes the cycle, A⟶B⟶C⟶A, as shown in the graph. For this gas, CV = 1.5R.  Step C⟶A is isothermal and reversible. 1) calculate ΔT, q, w, ΔU, ΔH, and ΔS for each step in the process.

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One mole of an ideal gas undergoes the cycle, A⟶B⟶C⟶A, as shown in the graph. For this gas, CV = 1.5R.  Step C⟶A is isothermal and reversible.

1) calculate ΔTqw, ΔU, ΔH, and ΔS for each step in the process.

 

**Graph Title: Pressure-Volume Relationship**

This graph illustrates the relationship between pressure and volume of a gas, demonstrating Boyle's Law. The graph features pressure on the y-axis measured in atmospheres (atm) and volume on the x-axis measured in liters (L). 

**Data Points:**
- Point A: (22.4 L, 1.0 atm)
- Point B: (44.8 L, 1.0 atm)
- Point C: (44.8 L, 0.5 atm)

**Description:**
The curve on the graph represents an inverse relationship between pressure and volume, typical of a gas at constant temperature. 

- **Line Segment AB**: This segment is horizontal, indicating that at a constant pressure of 1.0 atm, the volume increases from 22.4 L to 44.8 L.
  
- **Curve AC**: This portion of the graph shows a decreasing curve starting at Point A (22.4 L, 1.0 atm) and ending at Point C (44.8 L, 0.5 atm). This curve demonstrates how, as the pressure decreases, the volume increases, following the inverse nature of Boyle’s Law.

In summary, this graph visualizes how decreasing the pressure on a gas will increase its volume if temperature remains constant.
Transcribed Image Text:**Graph Title: Pressure-Volume Relationship** This graph illustrates the relationship between pressure and volume of a gas, demonstrating Boyle's Law. The graph features pressure on the y-axis measured in atmospheres (atm) and volume on the x-axis measured in liters (L). **Data Points:** - Point A: (22.4 L, 1.0 atm) - Point B: (44.8 L, 1.0 atm) - Point C: (44.8 L, 0.5 atm) **Description:** The curve on the graph represents an inverse relationship between pressure and volume, typical of a gas at constant temperature. - **Line Segment AB**: This segment is horizontal, indicating that at a constant pressure of 1.0 atm, the volume increases from 22.4 L to 44.8 L. - **Curve AC**: This portion of the graph shows a decreasing curve starting at Point A (22.4 L, 1.0 atm) and ending at Point C (44.8 L, 0.5 atm). This curve demonstrates how, as the pressure decreases, the volume increases, following the inverse nature of Boyle’s Law. In summary, this graph visualizes how decreasing the pressure on a gas will increase its volume if temperature remains constant.
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