JEE Mains · Physics · STD 11 - 11. thermodynamics
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 thermodynamic process is _____ K.
- A 274
- B 275
- C 273
- D 272
Answer & Solution
Correct Answer
(C) 273
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \gamma=\frac{3}{2} \\ & \mathrm{Tv}^{\gamma-1}=\mathrm{C} \\ & 273 \mathrm{~V}_0^{0.5}=\mathrm{T}\left(\frac{\mathrm{V}_0}{4}\right)^{0.5} \\ & \mathrm{~T}=273 \times 2=546 \\ & \Delta \mathrm{~T}=273\end{aligned}\)
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