The initial volume of a gas is `2m^(3)`. When the gas is compressed adiabatically at a pressure of `4 xx 10^(5) N cdot m^(-2)`, its volume become `0.5 m^(3)`. What will be the final pressure of the gas? If it is compressed isothermally, what will be the final pressure? Calculate the work done on the gas in both cases `(gamma = 1.4)`.

Answer

`2.785 xx 10^(6)N cdot m^(-2) , 1.6 xx 10^(6) N cdot m^(-2); -14.75 xx 10^(5) J, -11.08 xx 10^(5)J`