For an ideal gas, `(C_("p.m"))/C_("v.m") = gamma`. The molecular mass of a gas is M, its specific heat capacity at constant volume is:

Options

A. `R/(M(gamma-1))`
B. `M/(R(gamma-1))`
C. `(gammaRM)/(gamma-1)`
D. `(gammaR)/(M(gamma-1))`

Answer

A

Explanation

`therefore C_(p.m)/C_(v.m)` and `C_(p.m) - C_(v.m) = R`
`therefore C_(v,m) = R/(gamma-1)`
`C_(v,m) = C_(v)/n`
`therefore R/(gamma-1) = c_(v)/1 xx M`
`therefore C_(v) = R/((gamma-1)M)`