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During an adiabatic process, the pressure of gas is found to be proportional to the cube of its temperature. The ratio of $s p e c i f i c h e a t r a t i o γ$ for the gas is

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Correct option is C

in adiabatic process, relation between pressure P and temperature T is P1-γ.Tγ=Constant where γ is specific heat ratio ⇒PαTγγ-1 But given PαT3 on comparing above two equations γγ-1=3 ⇒γ=3γ-3 ⇒2γ=3 ⇒γ=3/2

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