Q.

One mole of an ideal gas in initial state A undergoes a cyclic process ABCA, as shown in the figure. Its pressure at A is P0.Choose the correct option(s) from the following

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a

Internal energies at A and B are the same

b

Work done by the gas in process AB is P0V0loge⁡4

c

Pressure at C is P04

d

Temperature at C is T04

answer is 1,2.

(Detailed Solution Below)

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Detailed Solution

For n moles of gas with f degrees of freedom at temperature T, we haveU=f2nRTSince, temperature T is same at A and B, soUA=UBAlso, WAB=nRT0loge⁡VfVi=nRT0loge⁡4V0V0        WAB=nRT0loge⁡(4)=P0V0loge⁡(4)
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