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A 1.00 mol sample of an ideal monatomic gas is taken through the cycle shown in

ID: 1629311 • Letter: A

Question

A 1.00 mol sample of an ideal monatomic gas is taken through the cycle shown in the figure. The process A rightarrow B is a reversible isothermal expansion where P_A = 6.0 atm, P_B = 2.0 atm, V_A = 20.0 L, and V_B = 60.0 L. (a) Calculate the net work done by the gas. 5.25 kJ (b) Calculate the energy added to the gas by heat. 13.4 Your response differs from the correct answer by more than 10%. Double check your calculations. kJ (c) Calculate the energy exhausted from the gas by heat. -20.26 kJ (d) Calculate the efficiency of the cycle. 16.6 Your response differs from the correct answer by more than 10%. Double check your calculations, %

Explanation / Answer

(b)

temp at C=487.49 K

at A=1462.47

at B=1462.47 K

energy added =process during CA+process during AB=Cp*temp difference+work during Ab=20.26 +5.25=25.51 kJ

(d) efficiency=work done/total heat=0.205 or 20.5 percent