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Q.

During adiabatic process, the pressure of gas found to be proportional to cube of its absolute temperature. Find $γ$ of gas

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a

2

b

1.7

c

1.3

d

1.5

answer is D.

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Detailed Solution

$\begin{array}{l} P \propto T^{3} \\ P = K T^{3} \\ P T^{- 3} = K \\ P {(\frac{P V}{n R})}^{- 3} = K \\ P^{- 2} V^{- 3} = K \\ P V^{\frac{3}{2}} = K \end{array}$

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