One mole of an ideal monatomic gas is taken along the process in which PVx=constant. The graph shown represents the variation of molar heat capacity of such a gas with respect to x . Find the values of C′ and x′ indicated in the diagram.
A
52R,53
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B
3R2,75
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C
3R2,53
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D
5R2,75
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Solution
The correct option is A52R,53 For polytropic process PVx=constant C=Rγ−1−Rx−1(for monoatomic gasγ=53) C′ corresponds to x=0 ⇒C′=Cp=R53−1+R=52R x′ corresponds to C=0 [i.e adiabatic] ⇒x′=γ=53