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Questions  

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

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

detailed solution

Correct option is A

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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 In the given graph, an ideal gas can change its state from A to C by two paths ABC or AC. Taking, the internal energy of gas at ‘A’ is 10 J, mark the CORRECT option(s)


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