Pressure P, volume V and temperature T for a certain gas are related by `P=(alpha T - alpha T^2)/(V)` Where `alpha` and `beta` are constants. Find the work done by the gas if the temperature changes from `T_1` and `T_2` while the pressure remains the constant.

Answer

`alpha(T_2 - T_1) -beta (T_2^2 -T_1^2)`