JEE Mains · Physics · STD 11 - 11. thermodynamics
The initial pressure and volume of an ideal gas are \(P_0\) and \(V_0\). The final pressure of the gas when the gas is suddenly compressed to volume \(\frac{ V _0}{4}\) will be (Given \(\gamma=\) ratio of specific heats at constant pressure and at constant volume)
- A \(P _0(4)^{\frac{1}{\gamma}}\)
- B \(P _0(4)^\gamma\)
- C \(P _0\)
- D \(4 P _0\)
Answer & Solution
Correct Answer
(B) \(P _0(4)^\gamma\)
Step-by-step Solution
Detailed explanation
As gas is suddenly compressed, the processes is adiabatic. Equation of gas for adiabatic process is \(PV ^\gamma=\text { constant. }\) \(\Rightarrow P _1 V _1^\gamma= P _2 V _2^\gamma\) \(\Rightarrow P _0 V _0^\gamma= P _2\left(\frac{ V _0}{4}\right)^\gamma\)…
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