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Q.

1 L of $C O_{2}$ gas $127^{o} C$ is expanded adiabatically to y liters and final temperature is $- 73^{o} C$ what is value of y?

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answer is 8.

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Detailed Solution

In adiabatic process $T V^{γ - 1} =$ constant

$\frac{T_{1}}{T_{2}} = {(\frac{V_{2}}{V_{1}})}^{γ - 1}$
So $400. {(1)}^{1 / 3} = (200) . {(y)}^{1 / 3}$
$y = 8$

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