A plot of pressure-volume isotherms for an ideal gas at two different temperatures is shown below. In which of these processes would ∆E > 0? See attached image. A) X -> Y B) Y -> Z C) Z -> X D) X -> Y and Y -> Z E) Y -> Z and Z -> X

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A plot of pressure-volume isotherms for an ideal gas at two different temperatures is shown below. In which of these processes would ∆E > 0? See attached image.

A) X -> Y

B) Y -> Z

C) Z -> X

D) X -> Y and Y -> Z

E) Y -> Z and Z -> X

The image is a graph depicting the relationship between pressure and volume at two different temperatures, 273 K and 546 K. The graph is labeled with the following details:

### Axes:
- **X-Axis**: Represents Volume (L), ranging from 0 to 8 liters.
- **Y-Axis**: Represents Pressure (Atm), ranging from 0 to 30 atmospheres.

### Curves:
1. **Solid Curve (T = 273 K)**: 
   - This curve shows the inverse relationship between pressure and volume at 273 K. The pressure decreases as the volume increases.

2. **Dotted Curve (T = 546 K)**: 
   - This curve represents the relationship at a higher temperature of 546 K. The curve is positioned above the 273 K curve, indicating higher pressure for the same volume at this elevated temperature.

### States:
- **State X**: 
  - Located on the 273 K curve at approximately 15 atm of pressure and 2 L of volume.
  
- **State Y**: 
  - Also on the 273 K curve, at around 5 atm of pressure and 4 L of volume.
  - An arrow indicates a transition from State Y to State X, suggesting a process occurring at constant temperature.

- **State Z**:
  - Positioned on the 546 K curve at roughly 10 atm and 4 L.
  - An arrow suggests a transition from State Y to State Z, indicating a process involving a change in temperature.

This graph illustrates the behavior of a gas under varying temperature conditions, showcasing how pressure, volume, and temperature are interrelated in accordance with the principles of thermodynamics.
Transcribed Image Text:The image is a graph depicting the relationship between pressure and volume at two different temperatures, 273 K and 546 K. The graph is labeled with the following details: ### Axes: - **X-Axis**: Represents Volume (L), ranging from 0 to 8 liters. - **Y-Axis**: Represents Pressure (Atm), ranging from 0 to 30 atmospheres. ### Curves: 1. **Solid Curve (T = 273 K)**: - This curve shows the inverse relationship between pressure and volume at 273 K. The pressure decreases as the volume increases. 2. **Dotted Curve (T = 546 K)**: - This curve represents the relationship at a higher temperature of 546 K. The curve is positioned above the 273 K curve, indicating higher pressure for the same volume at this elevated temperature. ### States: - **State X**: - Located on the 273 K curve at approximately 15 atm of pressure and 2 L of volume. - **State Y**: - Also on the 273 K curve, at around 5 atm of pressure and 4 L of volume. - An arrow indicates a transition from State Y to State X, suggesting a process occurring at constant temperature. - **State Z**: - Positioned on the 546 K curve at roughly 10 atm and 4 L. - An arrow suggests a transition from State Y to State Z, indicating a process involving a change in temperature. This graph illustrates the behavior of a gas under varying temperature conditions, showcasing how pressure, volume, and temperature are interrelated in accordance with the principles of thermodynamics.
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