One mole of an ideal monoatomic gas is taken from state A to state B through the process `P=3/2 T^(1//2)` It is found that its temperature increases by 100 K in this process. Now it is taken from state B to C through a process for which internal energy is related to volume as `U= 1/2 V^(1//2)` Find the total work performed by the gas (in Joule) if it is given that volume at B is `100 m^(3)` and at C it is `1600m^(3)` [Use `R= 8.3 J //mol-K`]

Answer

435