Two samples A and B of a gas initially at the same pressure and temperature are compressed from volume V to V/2 (A isothermally and B adiabatically). The final pressure of A is :
Answer & explanation
Correct answer: option 3
For isothermally process :
\(P_1V = P'_2 \frac{V}{2}\)
\(\Rightarrow P'_2 = 2P_1\)
For adiabatic process :
\(P_1 V^{\gamma} = P_2 (\frac{V}{2})^{\gamma}\)
\(\Rightarrow P_2 = 2^{\gamma}P_1\)
Since, \(\gamma\) > 1, P2 > P'2