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. `8475Jkg^(-1)K^(-1)`
B. `5186Jkg^(-1)K^(-1)`
C. `1660Jkg^(-1)K^(-1)`
D. `10375Jkg^(-1)K^(-1)`

Answer

D

Explanation

As, `C_(P)-C_(V)=R=4150J" kg"^(-1)K^(-1)`
`"and" " " (C_(P))/(C_(V))=gamma=1.4`
Specific heat at constant volume
`C_(V)=(R)/(gamma-1)=(4150)/((1.4-1))=10375J//kg-K`