When an ideal diatomic gas is heated t constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas is :

Options

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

Answer

A

Explanation

Here increase in internal energy.
`Delta U =n C_(v)dT`.
Heat supplied at constant pressure.
`Delta Q =n C_(P)dT`.
`therefore (Delta U)/(Delta Q)=(C_(v))/(C_(P))=(1)/(gamma) =(1)/(7//5)=(5)/(7)`
Thus, correct choice is (a).