problem20_49

University Physics with Modern Physics with Mastering Physics (11th Edition)

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20.49: a) ab : For the isothermal process, = = = = ) ln( . 0 and 0 1 a b V V nRT W U T ) ln(1/ 1 r nRT ), ln( 1 r nRT - = and ). ln( 1 r nRT W Q - = = bc: For the isochoric process, ). ( ; 0 and 0 1 2 T T nC T nC U Q W V V V - = = = = = cd: As in the process ab , ). ln( and 0 2 r nRT Q W U = = = da: As in process bc , ; 0 and 0 = = W V ). ( 2 1 T T nC Q U V - = = b) The values of Q for the processes are the negatives of each other. c) The net work for one cycle is ), ln( ) ( 1 2 net r T T nR W - = and the heat added
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Unformatted text preview: (neglecting the heat exchanged during the isochoric expansion and compression, as mentioned in part (b)) is ), ln( 2 cd r nRT Q = and the efficiency is ). ( 1 2 1 T T cd net Q W-= This is the same as the efficiency of a Carnot-cycle engine operating between the two temperatures....
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