An engine using 1 mol of an ideal gas ini- tially at 18.2 L and 279 K performs a cycle consisting of four steps: 1) an isothermal expansion at 279 K from 18.2 L to 39.8 L; 2) cooling at constant volume to 170 K; 3) an isothermal compression to its original volume of 18.2 L; and 4) heating at constant volume to its original temperature of 279 K. Find its efficiency. Assume that the heat capacity is 21 J/K and the univer- sal gas constant is 0.08206 L-atm/mol/K 8.314 J/mol/K.
An engine using 1 mol of an ideal gas ini- tially at 18.2 L and 279 K performs a cycle consisting of four steps: 1) an isothermal expansion at 279 K from 18.2 L to 39.8 L; 2) cooling at constant volume to 170 K; 3) an isothermal compression to its original volume of 18.2 L; and 4) heating at constant volume to its original temperature of 279 K. Find its efficiency. Assume that the heat capacity is 21 J/K and the univer- sal gas constant is 0.08206 L-atm/mol/K 8.314 J/mol/K.
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Transcribed Image Text:An engine using 1 mol of an ideal gas ini-
tially at 18.2 L and 279 K performs a cycle
consisting of four steps:
1) an isothermal expansion at 279 K from
18.2 L to 39.8 L;
2) cooling at constant volume to 170 K;
3) an isothermal compression to its original
volume of 18.2 L; and
4) heating at constant volume to its original
temperature of 279 K.
Find its efficiency. Assume that the
heat capacity is 21 J/K and the univer-
sal gas constant is 0.08206 Latm/mol/K
8.314 J/mol/K.
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VIEWStep 5: Calculate the heat given to the system in the fourth process:
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VIEWStep 7: Calculate the efficiency of the engine:
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