When an ideal monoatomic gas is heated at constant pressure, fraction of heat energy supplied which increases the internal energy of gas , is

Options

A. `3//7`
B. `5//7`
C. `2//5`
D. `3//5`

Answer

D

Explanation

For gas heated at constant pressure
`Q = nC_(p)DeltaT=n 5/2 RDeltaT`
Increase in internal energy `DeltaU=nC_(V)DeltaT=n.3/2RDeltaT`
`:.` fractional of heat energy supplied = `(DeltaU)/(Q)`
`=((3//2)nRT)/((5//2)nRT) = 3/5`