The temperature at state A is 20.0ºC, that is 293 K. During the last test, you have found the temperature at state D is 73.0 K and n = 164 moles for this monatomic ideal gas. What is the work done by the gas for process A to D, in MJ (MegaJoules)? 1.0 atm = 1.00 × 105 Pa.

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The temperature at state A is 20.0ºC, that is 293 K. During the last test, you have found the temperature at state D is 73.0 K and n = 164 moles for this monatomic ideal gas. What is the work done by the gas for process A to D, in MJ (MegaJoules)? 1.0 atm = 1.00 × 105 Pa.

Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

The image is a pressure-volume (p-V) diagram often used in thermodynamics to depict processes involving gas. It illustrates a thermodynamic process on a graph where the y-axis represents pressure (p) in atmospheres (atm) and the x-axis represents volume (V) in cubic meters (m³).

### Explanation of the Graph:

- **Axes**:
  - **Vertical Axis (y-axis)**: Represents pressure measured in atmospheres (atm).
  - **Horizontal Axis (x-axis)**: Represents volume measured in cubic meters (m³).

- **Points and Lines**:
  - **Point A**: Located at (1 m³, 4 atm).
  - **Point D**: Located at (1 m³, 1 atm).
  - **Point B**: Located at (4 m³, 1 atm).

- **Process Description**:
  - The process starts at **Point A** with a high pressure of 4 atm and a volume of 1 m³.
  - Transition from **A to D**: The pressure decreases while the volume remains constant at 1 m³ (isovolumetric process).
  - **Point D**: The pressure is reduced to 1 atm with the same volume (1 m³).
  - Transition from **D to B**: The volume increases from 1 m³ to 4 m³ while the pressure remains constant at 1 atm (isobaric process).

- **Arrow Directions**: Indicate the direction of the processes from A to D and D to B. 

This diagram represents a two-step process involving an isochoric (constant volume) decrease in pressure followed by an isobaric (constant pressure) expansion. It is useful for visualizing changes in the state of a gas under these conditions.
Transcribed Image Text:The image is a pressure-volume (p-V) diagram often used in thermodynamics to depict processes involving gas. It illustrates a thermodynamic process on a graph where the y-axis represents pressure (p) in atmospheres (atm) and the x-axis represents volume (V) in cubic meters (m³). ### Explanation of the Graph: - **Axes**: - **Vertical Axis (y-axis)**: Represents pressure measured in atmospheres (atm). - **Horizontal Axis (x-axis)**: Represents volume measured in cubic meters (m³). - **Points and Lines**: - **Point A**: Located at (1 m³, 4 atm). - **Point D**: Located at (1 m³, 1 atm). - **Point B**: Located at (4 m³, 1 atm). - **Process Description**: - The process starts at **Point A** with a high pressure of 4 atm and a volume of 1 m³. - Transition from **A to D**: The pressure decreases while the volume remains constant at 1 m³ (isovolumetric process). - **Point D**: The pressure is reduced to 1 atm with the same volume (1 m³). - Transition from **D to B**: The volume increases from 1 m³ to 4 m³ while the pressure remains constant at 1 atm (isobaric process). - **Arrow Directions**: Indicate the direction of the processes from A to D and D to B. This diagram represents a two-step process involving an isochoric (constant volume) decrease in pressure followed by an isobaric (constant pressure) expansion. It is useful for visualizing changes in the state of a gas under these conditions.
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