An ideal gas initially at 0°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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Solution

Q.
An ideal gas initially at 0°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. [2025]

Ans.
(273)

   $T V^{γ - 1}$ = constant

   $γ = \frac{3}{2}$

$273 \times V^{0.5} = T {(\frac{V}{4})}^{0.5}$

   $T = 546 K \Rightarrow △ T = 273 K$

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