For a gas the differce between the two specific heat is `4150 J//kg K`. What is the specific heat at constant volume of gas if the ratio of sepcific heat is 1.4

Options

A. `8475 J//kg-K`
B. `5186 J//kg-K`
C. `1660 J//kg-K`
D. `10375 J//kg-K`

Answer

D

Explanation

d. Given `c_(P) - c_(v) = 4150`
and `c_(P)//c_(v) = 1.4 implies c_(P)` in Eq. (i) we get
By substituting the value of `c_(P)` in Eq. (i) we get
`1.4 c_(v) - c_(v) = 4150`
`implies 0.4 c_(v) = (4150)/(0.4) = 10373 J//g-K`