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The working substance of an ideal Carnot engine is 2.75 moles of a diatomic ideal gas. The first stage of the four-stage Carnot cycle that the engine undergoes is an isothermal expansion that starts at a pressure of 8.50 x 10^4 Pascals and a volume of 0.0900 cubic meters. The final volume of the first stage is 0.1500 cubic meters. The efficiency of this ideal Carnot engine is 0.2533. a) What is the temperature of the gas during the first stage of this Carnot cycle in Kelvins? b) What is the change in the internal energy of the gas during the first stage in Joules? c) What is the work done by the gas during the first stage in Joules?

The working substance of an ideal Carnot engine is 2.75 moles of a diatomic ideal gas. The first stage of the four-stage Carnot cycle that the engine undergoes is an isothermal expansion that starts at a pressure of 8.50 x 10^4 Pascals and a volume of 0.0900 cubic meters. The final volume of the first stage is 0.1500 cubic meters. The efficiency of this ideal Carnot engine is 0.2533. a) What is the temperature of the gas during the first stage of this Carnot cycle in Kelvins? b) What is the change in the internal energy of the gas during the first stage in Joules? c) What is the work done by the gas during the first stage in Joules?

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The working substance of an ideal Carnot engine is 2.75 moles of a diatomic ideal gas. The first stage of the four-stage Carnot cycle that the engine undergoes is an isothermal expansion that starts at a pressure of 8.50 x 10^4 Pascals and a volume of 0.0900 cubic meters. The final volume of the first stage is 0.1500 cubic meters. The efficiency of this ideal Carnot engine is 0.2533. a) What is the temperature of the gas during the first stage of this Carnot cycle in Kelvins? b) What is the change in the internal energy of the gas during the first stage in Joules? c) What is the work done by the gas during the first stage in Joules? d) What is the change in entropy of the gas during the first stage in units of Joules/Kelvins? e) What is the temperature in Kelvins of the low temperature reservoir that the Carnot engine is in contact with? f) If this ideal Carnot engine is run backwards, it becomes an ideal Carnot refrigerator. For each Joule of electrical energy required to operate it, how many Joules of heat energy are removed from the cold compartment of the refrigerator?
Transcribed Image Text:The working substance of an ideal Carnot engine is 2.75 moles of a diatomic ideal gas. The first stage of the four-stage Carnot cycle that the engine undergoes is an isothermal expansion that starts at a pressure of 8.50 x 10^4 Pascals and a volume of 0.0900 cubic meters. The final volume of the first stage is 0.1500 cubic meters. The efficiency of this ideal Carnot engine is 0.2533. a) What is the temperature of the gas during the first stage of this Carnot cycle in Kelvins? b) What is the change in the internal energy of the gas during the first stage in Joules? c) What is the work done by the gas during the first stage in Joules? d) What is the change in entropy of the gas during the first stage in units of Joules/Kelvins? e) What is the temperature in Kelvins of the low temperature reservoir that the Carnot engine is in contact with? f) If this ideal Carnot engine is run backwards, it becomes an ideal Carnot refrigerator. For each Joule of electrical energy required to operate it, how many Joules of heat energy are removed from the cold compartment of the refrigerator?
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