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 original volume isothermally while the gas in container B is compressed to half of its original value adiabatically. The ratio of final pressure of the gas in B to that of gas in A is

1
\({2^{\gamma - 1}}\)
2
\({\left( {\frac{1}{2}} \right)^{\gamma - 1}}\)
3
\({\left( {\frac{1}{{1 - \gamma }}} \right)^2}\)
4
\({\left( {\frac{1}{{\gamma - 1}}} \right)^2}\)

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