he answer and work to this question is wrong, can you correct. tip: Use the first law of thermodynamics which involves the work done by the gas, and the change in the internal energy of the gas. The ideal gas law will help. Use the average of the initial and final pressure to calculate the work.  The PV diagram shows the compression of 40.9 moles of an ideal monoatomic gas from state A to state B. Calculate Q, the heat added to the gas in the process A to B. Data: PA= 1.90E+5 N/m2 VA= 1.83E+0 m3 PB= 1.01E+5 N/m2 VB= 8.90E-1 m3›44 heat added = work done ( since this is isothermal process) Heat added = area of pressure volume curve  = (1/2) (sum of parallel sides)(height)  = (1/2) (190000 + 101000) * (1.83 - 0.89)  = (1/2) (291000) (0.94)  = 136770 Joules

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The answer and work to this question is wrong, can you correct.

tip: Use the first law of thermodynamics which involves the work done by the gas, and the change in the internal energy of the gas. The ideal gas law will help. Use the average of the initial and final pressure to calculate the work. 

The PV diagram shows the compression of 40.9 moles of an ideal monoatomic gas from state A to state B. Calculate Q, the heat added to the gas in the process A to B. Data: PA= 1.90E+5 N/m2 VA= 1.83E+0 m3 PB= 1.01E+5 N/m2 VB= 8.90E-1 m3›44

heat added = work done ( since this is isothermal process)

Heat added = area of pressure volume curve

 = (1/2) (sum of parallel sides)(height)

 = (1/2) (190000 + 101000) * (1.83 - 0.89)

 = (1/2) (291000) (0.94)

 = 136770 Joules

The image presents a PV diagram, which is a graphical representation of the changes in pressure (P) and volume (V) for a thermodynamic process.

### Diagram Explanation:

- **Axes**: 
  - The vertical axis represents pressure (P).
  - The horizontal axis represents volume (V).

- **Points**:
  - Point A: Located at coordinates (V<sub>A</sub>, P<sub>A</sub>).
  - Point B: Located at coordinates (V<sub>B</sub>, P<sub>B</sub>).

- **Lines and Arrows**:
  - A dashed line horizontally connects the pressure at points A and B, indicating constant pressure at point A (P<sub>A</sub>) and at point B (P<sub>B</sub>).
  - Another dashed line vertically connects the volume at points A and B, indicating constant volume at point B (V<sub>B</sub>) and at point A (V<sub>A</sub>).
  - A solid line with an arrow indicates the process takes place from Point B to Point A. This suggests a transformation where both pressure and volume increase.

This diagram is typically used to illustrate processes in an ideal gas, where the path between two states (B and A) shows how pressure and volume change simultaneously.
Transcribed Image Text:The image presents a PV diagram, which is a graphical representation of the changes in pressure (P) and volume (V) for a thermodynamic process. ### Diagram Explanation: - **Axes**: - The vertical axis represents pressure (P). - The horizontal axis represents volume (V). - **Points**: - Point A: Located at coordinates (V<sub>A</sub>, P<sub>A</sub>). - Point B: Located at coordinates (V<sub>B</sub>, P<sub>B</sub>). - **Lines and Arrows**: - A dashed line horizontally connects the pressure at points A and B, indicating constant pressure at point A (P<sub>A</sub>) and at point B (P<sub>B</sub>). - Another dashed line vertically connects the volume at points A and B, indicating constant volume at point B (V<sub>B</sub>) and at point A (V<sub>A</sub>). - A solid line with an arrow indicates the process takes place from Point B to Point A. This suggests a transformation where both pressure and volume increase. This diagram is typically used to illustrate processes in an ideal gas, where the path between two states (B and A) shows how pressure and volume change simultaneously.
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