For a given ideal gas `6 xx 10^(5)` J heat energy is supplied and the volume of gas is increased from 4 `m^(3)` to `6 m^(3)` at atmospheric pressure . Calculate (a) the work done by the gas ( b) Change in internal energy of the gas
( c) graph this process in PV and TV diagram

Explanation

`"Heat energy supplied to gas "Q=6xx10^(5)J`
`"Change in volume "DeltaV=(6-4)=2m^(3)`
`"1 atm"=1.013xx10^(5)Nm^(-2)`
(a) `"Work done by the gas W"=PxxDeltaV=1.013xx10^(5)xx2=2.026xx10^(5)`
`W=202.6kJ`
(b ) Change in internal energy of the gas
`DeltaU=Q-P. DeltaV=6xx10^(5)-(202.6xx10^(3))`
`=6xx10^(5)-2.2026xx10^(5)=3.974xx10^(5)`
`DeltaU=397.4kJ`