The difference between the two specific heat capacities (at constant pressure and volume) of a gas is `5000 J kg^(-1) K^(-1)` and the ratio of these specific heat capacities, i.e., `C_(V) and C_(p)`.

Explanation

Given
`C_(p) - C_(V) = 5000 J kg^(-1) K^(-1)` …(i)
and `C_(p)//C_(V) = 1.6` or `C_(p) = 1.6 C_(V)`
from (i)
`1.6 C_(V) -C_(V) = 5000` or `0.6 C_(V) = 5000`
or `C_(V) = 5000/0.6 = 8333.3 J kg^(-1)K^(-1)`
`C_(p) = 1.6 C_(V) = 1.6 xx 5000/0.6 `
`=13333.3 J kg^(-1)K^(-1)`.