For a gas, difference between two specific heats is 5000 J/ mole°C. If the ratio of specific heats is 1.6, the two specific heats in J/mole-°C are

Explanation

Let `C_(P)` and `C_(V)` be the specific heats of a gas at constant pressure and constant volume.
Here `C_(P) - C_(V) = 5000 j Kg^(-1) k^(-1)`
and `C_(P)//C_(v) = 1.6` or `C_(P) = 1.6 C_(V)`
Putting (ii) in equation (i)
`1.6 C_(V) - C_(V) = 5000` or `0.6 C_(V) = 5000`
or `C_(v) = (5000)/(0.6) = 8.33 xx 10^(3) j//kg K`
again fromk (ii) `C_(P) = 1.6 xx 8.33 xx 10^(3)`
`= 1.33 xx 10^(4) jkg^(-1) K^(-1)`