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In an adiabatic change, the pressure and temperature of a mono atomic gas are related as ${PαT}^{C}$ , where c equals

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detailed solution

Correct option is C

in adiabatic process relation between Pressure P,Temperature T is P1-γTγ=constant ⇒TγPγ-1=Constant ⇒Pγ-1αTγ ⇒PαTγγ−1 given PαTC on comparing the above two equations C=γγ−1for monoatomic gas specific heat ratio γ=53 substitute γ in above equation of C C=5353−1 ⇒C=52

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