The internal energy of an ideal diatomic gas corresponding to volume `V` and pressure `P` is `U = 2.5 PV`. The gas expands from 1 litre to 2 litre at a constant pressure of one atmosphere. The heat supplied to the gas is

Options

A. `100 J`
B. `250 J`
C. `350 J`
D. `50 J`

Answer

C

Explanation

`U=2.5 PV`
`so, Delta U = 2.5 P Delta V, Also, W = P Delta V`
so, `Q = Delta U +W = 3.5 P Delta V`
`=3.5(1xx10^(5)Nm^(-2))(2-1)xx10^(-3)m^(3)`
`=350J`.