Heat used in increasing the internal energy is
`Q_(1)=C_(v)dT`, Heat absorbed at constant pressure to increase the temperature by `dT` is `Q_(2)=C_(P)dT`
`therefore(Q_(1))/(Q_(2))=(C_(v))/(C_(P))=(1)/(C_(P)//C_(v))=(1)/(gamma)`
for diatomic gas, `gamma=7//5, therefore (Q_(1))/(Q_(2))=(5)/(7)`