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The mole number is 4. Please excuse the unlabeling of the diagram because of software problem. The Cycle starts at the upper left corner A at a temperature Of 200° K and expands at constant pressure of 5x10* N/m² to state B at the upper right with a temperature of 400° K

The mole number is 4. Please excuse the unlabeling of the diagram because of software problem. The Cycle starts at the upper left corner A at a temperature Of 200° K and expands at constant pressure of 5x10* N/m² to state B at the upper right with a temperature of 400° K

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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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then decreases at constant volume to a pressure of \(2.5 \times 10^4 \, \text{N/m}^2\) and temperature 200 K at state C on the lower right, and from there compressed at constant pressure to point D in the lower left at a temperature of 100° K. From D it increases the pressure at constant volume back to A. Thus it has completed a cycle ABCDA. a) Find the volumes at the corners A, B, C, and D using the gas law equation PV = nRT b) Find the work done for each path of the cycle and the net work of the cycle c) Determine which parts of the cycle give positive heat and compute them using formulas for \(Q_p\) and \(Q_v\). d) Find the internal energy U at state A and B and its change. e) If we use this cycle to operate an engine, what is the input heat? f) What is the efficiency of the engine?
Transcribed Image Text:then decreases at constant volume to a pressure of \(2.5 \times 10^4 \, \text{N/m}^2\) and temperature 200 K at state C on the lower right, and from there compressed at constant pressure to point D in the lower left at a temperature of 100° K. From D it increases the pressure at constant volume back to A. Thus it has completed a cycle ABCDA. a) Find the volumes at the corners A, B, C, and D using the gas law equation PV = nRT b) Find the work done for each path of the cycle and the net work of the cycle c) Determine which parts of the cycle give positive heat and compute them using formulas for \(Q_p\) and \(Q_v\). d) Find the internal energy U at state A and B and its change. e) If we use this cycle to operate an engine, what is the input heat? f) What is the efficiency of the engine?
**HANDIN HW Assignment # 4-2:** The mole number is 4. Please excuse the unlabeled diagram because of a software problem. The cycle starts at the upper left corner A at a temperature of 200° K and expands at a constant pressure of 5x10^4 N/m² to state B at the upper right, with a temperature of 400° K. **Diagram Explanation:** The diagram is a simple rectangular cycle on a graph with pressure on the y-axis and volume on the x-axis (axes are not labeled). It consists of four stages with arrows indicating the direction of the process: 1. **Horizontal Arrow to the Right:** Represents the expansion from state A to state B at constant pressure. 2. **Vertical Arrow Downward:** Illustrates a pressure change at constant volume. 3. **Horizontal Arrow to the Left:** Indicates compression back to the original volume at constant pressure. 4. **Vertical Arrow Upward:** Returns to the original pressure at constant volume.
Transcribed Image Text:**HANDIN HW Assignment # 4-2:** The mole number is 4. Please excuse the unlabeled diagram because of a software problem. The cycle starts at the upper left corner A at a temperature of 200° K and expands at a constant pressure of 5x10^4 N/m² to state B at the upper right, with a temperature of 400° K. **Diagram Explanation:** The diagram is a simple rectangular cycle on a graph with pressure on the y-axis and volume on the x-axis (axes are not labeled). It consists of four stages with arrows indicating the direction of the process: 1. **Horizontal Arrow to the Right:** Represents the expansion from state A to state B at constant pressure. 2. **Vertical Arrow Downward:** Illustrates a pressure change at constant volume. 3. **Horizontal Arrow to the Left:** Indicates compression back to the original volume at constant pressure. 4. **Vertical Arrow Upward:** Returns to the original pressure at constant volume.
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