A cyclic process for 1 mole of an ideal gas is shown in the V−T diagram. The work done in AB , BC and CA respectively are
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a
0, RT 1ln(V 1V 2), R(T 1−T 2)
b
R, (T 1−T 2)R, RT 1ln(V 1V 2)
c
0, RT 2ln(V 2V 1), RT 1V 1(V 1−V 2)
d
0, RT 2ln(V 1V 2), R(T 1−T 2)
answer is C.
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Detailed Solution
During AB, process is isochoric. ∴ ΔV=0 ∴ W=0 During BC, process is isothermal∴ ΔT=0 ∴ W=RT 2lnV 2V 1 During CA, process is isobaric. So , pressure is constant.∴ W=P(V 1−V 2) But PV 1=RT 1 ∴ P=RT 1V 1=RT 2V 2 ∴ W=RT 1V 1(V 1−V 2)=RT 2V 2(V 1−V 2)