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 gas in B to that of gas in A is
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Correct option is A)
Consider the P−V diagram shown for the container A and container B.
Both the process involves compression of the gas
(i) Isothermal compression (Gas A) (during 1→2)
(II) Adiabatic compression (Gas B) (during 1→2)
Hence (P2)A(P2)B= Ratio of final pressure =2P0(2)γP0=2γ−1
where, γ is the ratio of specific heat capacities for the gas.