For any polytropic process;
PVn=C
W=n−1P1V1−P2V2=n−1mR(T1−T2)
We first find T2;
PV1.35=C
V∝PT
P(PT)1.35=C
P1−1.35T1.35=C
T1.35∝P0.35
(T1T2)1.35=(P1P2)0.35
T2=T1(P1P2)1.350.35
=473(0.170.34)1.350.35
=566.116K
W=n−1mR(T1−T2)
W=1.35−10.23∗0.29(566.116−473)
W=12.745kJ
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