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

Consider two containers A and B containing identical gases at the same

1.	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
Answer» `2 ^(GAMMA-1)` `(1/2)^(gamma-1)` `(1/(1-gamma))^2` `(1/(gamma-1))^2` SOLUTION :When the compression is ISOTHERMAL for gas in `A P_2 V_2 = P_1 V_1` `P_2=(P_1V_1)/V_2=P_1=V_1/(V_1//2)=2P_1` For gas in B, when compression is adiabatic `P_2V_2^gamma =P_1V_1^(gamma)` `P_2=P_1(V_1/(V_1//2))^gamma=2^(gamma)P_1` So `P_2/P_1 =(2^(gamma)P_1)/(2P_1) = 2^(gamma-1)`