(i) An adiabatic cylinder contains an ideal gas. It is fitted with a freely movable insulating piston. In one experiment the piston is pulled out very fast to double the volume of the gas. In another experiment starting from same initial state, the piston is pulled out very slowly to double the volume of the gas. At the end of which experiment the final pressure of the gas will be higher?
(ii) An ideal gas is contained in a cylinder fitted with a movable piston. In an experiment ‘A’ the gas is allowed to perform a work `W (gt 0)` on the surrounding during an isobaric process and thereafter the pressure of the gas is reduced isochorically to half the initial value. At the end of the experiment the temperature of the gas is `T_(A)`. In a different experiment ‘B’ the pressure of the gas is reduced to half in an isochoric process and then the gas performs a work W on the surrounding during an isobaric process. At the end of the experiment the gas temperature is `T_(B)`. Which is higher, `T_(A)` or `T_(B)`?

Answer

(i) Experiment 1 , (ii) `T_(B)`