Question

Derive an expression for the work done during isothermal expansion.
A certain gas at atmospheric pressure is compressed adiabatically so that its volume
becomes half of its original volume. Calculate the resulting pressure?

Answer 1

Let us consider 1 mole of gas is enclosed in an isothermal container. Let P1,V1 and T be the initial pressure, initial volume, and temperature. As work is done, let the gas expand to P2,V2 where P2 is the reduced pressure and V2 is the expanded volume. ⇒PV=RT (∵n=1mole) and R is the ideal gas constant.