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 P0V0loge4
c
Pressure at C is P04
d
Temperature at C is T04
answer is A.
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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=nRT0logeVfVi=nRT0loge4V0V0 WAB=nRT0loge(4)=P0V0loge(4)
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