Question:
Consider two containers A and B containing identical gases at the same pressure, volume, and temperature. The gas in container A is compressed to half of its volume isothermally while the gas in the container B is compressed to half of its original value adiabatically. The ratio of final pressure of a gas in B to that of gas in A is
(a) $2^{\gamma-1}$
(b) $\left(\frac{1}{2}\right)^{\gamma-1}$
(c) $\left(\frac{1}{1-\gamma}\right)^{2}$
(d) $\left(\frac{1}{\gamma-1}\right)^{2}$
Solution:
The correct answer is (a)
$2^{\gamma-1}$
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