Five moles of gas initially at a pressure of 2.00 atm and a volume of 0.300 L has internal energy equal to 91.0 J. In its final state, the gas is at a pressure of 1.50 atm and a volume of 0.800 L, and its internal energy equals 182 J. P (atm) 2.00- 1.50 V (liters) 0.300 0,800 (a) For the paths IAF, IBF, and IF in the figure above, calculate the work done on the gas. 75.99 The response you submitted has the wrong sign. J 101.325 W IBF WJAF= The response you submitted has the wrong sign. J 88.65 I The response vou submitted has the wrong sign 1

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**PV Diagram of Gas Transformation**

**Initial and Final Conditions:**
- Initially, five moles of gas are at a pressure of 2.00 atm and a volume of 0.300 L with an internal energy of 91.0 J.
- In the final state, the gas reaches a pressure of 1.50 atm and a volume of 0.800 L, with the internal energy equaling 182 J.

**Diagram Explanation:**

The plot is a Pressure (P) vs. Volume (V) graph showing different paths of transformation:

1. **Path IAF**:
   - Path connects points I to A in a horizontal line, then A to F in a vertical line.
2. **Path IBF**:
   - Path connects points I to B at a diagonal, then B to F in a vertical line.
3. **Path IF**:
   - Path directly connects points I to F diagonally.

**Work Done Calculation:**

- **\( W_{IAF} = 75.99 \, \text{J} \)** (Incorrect sign)
- **\( W_{IBF} = 101.325 \, \text{J} \)** (Incorrect sign)
- **\( W_{IF} = 88.65 \, \text{J} \)** (Incorrect sign)

Each path represents a different sequence of pressure and volume changes, indicating how the work done varies with each path. Correct calculation requires considering the sign of work done, with the given responses having incorrect signs.
Transcribed Image Text:**PV Diagram of Gas Transformation** **Initial and Final Conditions:** - Initially, five moles of gas are at a pressure of 2.00 atm and a volume of 0.300 L with an internal energy of 91.0 J. - In the final state, the gas reaches a pressure of 1.50 atm and a volume of 0.800 L, with the internal energy equaling 182 J. **Diagram Explanation:** The plot is a Pressure (P) vs. Volume (V) graph showing different paths of transformation: 1. **Path IAF**: - Path connects points I to A in a horizontal line, then A to F in a vertical line. 2. **Path IBF**: - Path connects points I to B at a diagonal, then B to F in a vertical line. 3. **Path IF**: - Path directly connects points I to F diagonally. **Work Done Calculation:** - **\( W_{IAF} = 75.99 \, \text{J} \)** (Incorrect sign) - **\( W_{IBF} = 101.325 \, \text{J} \)** (Incorrect sign) - **\( W_{IF} = 88.65 \, \text{J} \)** (Incorrect sign) Each path represents a different sequence of pressure and volume changes, indicating how the work done varies with each path. Correct calculation requires considering the sign of work done, with the given responses having incorrect signs.
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