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- a carnot engine uses reservoirs at temperature of 27.0 oC and 327oC. in one cy

ID: 1704118 • Letter: #

Question

- a carnot engine uses reservoirs at temperature of 27.0 oC and 327oC. in one cycle, it uses 600 J of heat from the high temperature reservoir. How much work does it do in onevcycle?
a) 300 J
b) 354 J
c) 550 J
d) 600 J

- A cylinder wit a piston contains 2.00 liters of an ideal monatomic gas at 1.00 atm and 275 K. the gas is subject to an adiabatic compression from its initial volume to 1/4 its initial volume. what is the pressure after the compression?

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Explanation / Answer

1) we know that efficiency n = 1 - T2/T1 = 1 - 300/600 = 0.5 We also have e = W/ Qh ==> W = e * Qh = 0.5 * 600J = 300 J So option (a) is correct answer 2) we know that P1 V1 = P2 V2 ==> 1 * 2 = P2 * (2 / 4) ==> 2 = P2 * 0.5 ==> P2 = 4 atm