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 the gas Q `= 6 xx 10^(5) J`
change in volume `Delta V = (6 -4) = 2m^(3)`
( a) Work done by the gas W = ?
Atmospheric pressure
`P = 1.013 xx 10^(5) Nm^(-2)`
`W = P . Delta V`
`W = 1.013 xx 10^(5) xx 2`
`= 2.026 xx 10^(5) "(or)" 202 . 6 kJ`
( b) Change in internal energy `Delta U = `?
`Delta u = W = Q- P. Delta V`
`= 6 xx 10^(5) - 2.02 xx 10^(5)`
`= 3.974 xx 10^(5) j ` (or )` 397 . 4 kJ`
`Delta tl = 397 kJ`
( c) (##SUR_PHY_XI_V02_C08_E04_012_S01##)