An ideal gas initially at $0^{\circ} \mathrm{C}$ temperature is compressed suddenly to one fourth of its volume. If the ratio of specific heat at constant pressure to that at constant volume is $3 / 2$, the change in temperature due to the thermodynamics process is ________ K.

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Aicharya · Accepted Answer

$\begin{aligned} & \gamma=\frac{3}{2} \ & \mathrm{Tv}^{\gamma-1}=\mathrm{C} \ & 273 \mathrm{~V}_0^{0.5}=\mathrm{T}\left(\frac{\mathrm{V}_0}{4}ight)^{0.5} \ & \mathrm{~T}=273 	imes 2=546 \ & \Delta \mathrm{~T}=273\end{aligned}$

An ideal gas initially at \(0^{\circ} \mathrm{C}\) temperature is compressed suddenly to one fourth of its…

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