An ideal gas initially at $0^\circ$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.

Question

Dr. Abubacker · Accepted Answer

[Solution by Dr. Abubacker] Sudden compression is adiabatic: $T_2=T_1\left(\frac{V_1}{V_2}ight)^{\gamma-1}=273	imes4^{1/2}=546$ K. $\Delta T=546-273=273$ K. Answer: 273.

Q. An ideal gas initially at $0^\circ$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.

Explanation

Reviewed by Dr. Abubacker

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