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Check my work mode: This shows what is correct or incorrect for the work you have completed so far. It does not indicate com The PV diagram shown is for a heat engine that uses 1.170 mol of a diatomic ideal gas as its working substance. In the constant-temperature processes A and C, the gas is in contact with reservoirs at temperatures 373 K and 273 K, respectively. In constant-volume process B, the gas temperature decreases as heat flows into the cold reservoir. In constant-volume process D, the gas temperature increases as heat flows from the hot reservoir. $ Pressure (kPa) 4 160 150 140 130 120 110 100 90 R D % 273-K To compare the efficiency of the heat engine to that of an ideal engine, what is the ratio of the efficiency of an ideal engine using the same reservoirs to that of the heat engine, if the heat input per cycle is 3241 J? 5 T 80 0.019 0.02 0.021 0.022 0.023 0.024 0.025 0.026 Volume (m³) A 16 O A C ▬▬ Q Search -- < 373 K 6 Y & B 4- 7 U < Prev 18+ * 00 b 8 7 of 10 # hp 144 ( 9 fio ► 11 O Next > M P ww { [ = ins prt sc delete ← backspace

Check my work mode: This shows what is correct or incorrect for the work you have completed so far. It does not indicate com The PV diagram shown is for a heat engine that uses 1.170 mol of a diatomic ideal gas as its working substance. In the constant-temperature processes A and C, the gas is in contact with reservoirs at temperatures 373 K and 273 K, respectively. In constant-volume process B, the gas temperature decreases as heat flows into the cold reservoir. In constant-volume process D, the gas temperature increases as heat flows from the hot reservoir. $ Pressure (kPa) 4 160 150 140 130 120 110 100 90 R D % 273-K To compare the efficiency of the heat engine to that of an ideal engine, what is the ratio of the efficiency of an ideal engine using the same reservoirs to that of the heat engine, if the heat input per cycle is 3241 J? 5 T 80 0.019 0.02 0.021 0.022 0.023 0.024 0.025 0.026 Volume (m³) A 16 O A C ▬▬ Q Search -- < 373 K 6 Y & B 4- 7 U < Prev 18+ * 00 b 8 7 of 10 # hp 144 ( 9 fio ► 11 O Next > M P ww { [ = ins prt sc delete ← backspace

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The PV diagram shown is for a heat engine that uses 1.170 mol of a diatomic ideal gas as its working substance. In the constant-temperature processes A and C, the gas is in contact with reservoirs at temperatures 373 K and 273 K respectivelyIn constant-volume process Bthe gas temperature decreases as heat flows into the cold reservoir. In constant-volume process the gas temperature increases as heat flows from the hot reservoir 160 150 140 D373 130 ( ) B 110 100 273 0.019 0.021 0.022 0.023 0.023 0.026 ( To compare the efficiency of the heat engine to that of an ideal engine, what is the ratio of the efficiency of an ideal engine using the same reservoirs to that of the heat engine, if the heat input per cycle is 3241 J?
## Heat Engine and Ideal Gas Processes The PV diagram shown is for a heat engine that uses 1.170 mol of diatomic ideal gas as its working substance. In the constant-temperature processes \(A\) and \(C\), the gas is in contact with reservoirs at temperatures 373 K and 273 K, respectively. In constant-volume process \(B\), the gas temperature decreases as heat flows into the cold reservoir. In constant-volume process \(D\), the gas temperature increases as heat flows from the hot reservoir. ### Detailed Explanation of the PV Diagram **Graph Analysis:** - The x-axis of the graph represents Volume in cubic meters (\( m^3 \)). - The y-axis represents Pressure in kilopascals (\( kPa \)). **Processes described in the diagram:** 1. **Process \(A\)**: Isothermal (constant temperature) - This occurs at 373 K. - The volume decreases while the pressure increases. 2. **Process \(B\)**: Isochoric (constant volume) - The process shows a vertical line indicating that the volume remains the same while the pressure decreases. 3. **Process \(C\)**: Isothermal - This occurs at 273 K. - The volume increases while the pressure decreases. 4. **Process \(D\)**: Isochoric - The process shows a vertical line indicating that the volume remains the same while the pressure increases. ### Efficiency Comparison To compare the efficiency of the heat engine to that of an ideal engine, what is the ratio of the efficiency of an ideal engine using the same reservoirs to that of the heat engine, if the heat input per cycle is 3241 J? --- This information helps in understanding the working cycle of a heat engine involving ideal gas and interpreting PV diagrams that represent different thermodynamic processes.
Transcribed Image Text:## Heat Engine and Ideal Gas Processes The PV diagram shown is for a heat engine that uses 1.170 mol of diatomic ideal gas as its working substance. In the constant-temperature processes \(A\) and \(C\), the gas is in contact with reservoirs at temperatures 373 K and 273 K, respectively. In constant-volume process \(B\), the gas temperature decreases as heat flows into the cold reservoir. In constant-volume process \(D\), the gas temperature increases as heat flows from the hot reservoir. ### Detailed Explanation of the PV Diagram **Graph Analysis:** - The x-axis of the graph represents Volume in cubic meters (\( m^3 \)). - The y-axis represents Pressure in kilopascals (\( kPa \)). **Processes described in the diagram:** 1. **Process \(A\)**: Isothermal (constant temperature) - This occurs at 373 K. - The volume decreases while the pressure increases. 2. **Process \(B\)**: Isochoric (constant volume) - The process shows a vertical line indicating that the volume remains the same while the pressure decreases. 3. **Process \(C\)**: Isothermal - This occurs at 273 K. - The volume increases while the pressure decreases. 4. **Process \(D\)**: Isochoric - The process shows a vertical line indicating that the volume remains the same while the pressure increases. ### Efficiency Comparison To compare the efficiency of the heat engine to that of an ideal engine, what is the ratio of the efficiency of an ideal engine using the same reservoirs to that of the heat engine, if the heat input per cycle is 3241 J? --- This information helps in understanding the working cycle of a heat engine involving ideal gas and interpreting PV diagrams that represent different thermodynamic processes.
### Topic: Comparing the Efficiency of Heat Engines #### Graph Analysis The provided graph plots pressure (kPa) versus volume (m^3) and illustrates the thermodynamic process of a heat engine. The axes are labeled as: - **Pressure (kPa)** on the y-axis, ranging from 90 to 150 kPa. - **Volume (m³)** on the x-axis, ranging from 0.019 to 0.026 m³. Three points labeled **A, B, and C** mark specific states: - **Point A**: Pressure at approximately 140 kPa and Volume at around 0.021 m³, corresponding to a temperature of 373 K. - **Point B**: Pressure at approximately 100 kPa and Volume at around 0.026 m³, also at a temperature of 373 K. - **Point C**: Pressure at approximately 130 kPa and Volume at around 0.019 m³, with a temperature of 573 K. #### Question To compare the efficiency of the heat engine to that of an ideal engine, what is the ratio of the efficiency of an ideal engine using the same reservoirs to that of the heat engine, if the heat input per cycle is 3241 J? Enter your answer: ``` 0.069 ```
Transcribed Image Text:### Topic: Comparing the Efficiency of Heat Engines #### Graph Analysis The provided graph plots pressure (kPa) versus volume (m^3) and illustrates the thermodynamic process of a heat engine. The axes are labeled as: - **Pressure (kPa)** on the y-axis, ranging from 90 to 150 kPa. - **Volume (m³)** on the x-axis, ranging from 0.019 to 0.026 m³. Three points labeled **A, B, and C** mark specific states: - **Point A**: Pressure at approximately 140 kPa and Volume at around 0.021 m³, corresponding to a temperature of 373 K. - **Point B**: Pressure at approximately 100 kPa and Volume at around 0.026 m³, also at a temperature of 373 K. - **Point C**: Pressure at approximately 130 kPa and Volume at around 0.019 m³, with a temperature of 573 K. #### Question To compare the efficiency of the heat engine to that of an ideal engine, what is the ratio of the efficiency of an ideal engine using the same reservoirs to that of the heat engine, if the heat input per cycle is 3241 J? Enter your answer: ``` 0.069 ```
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