Question

The molar specific heats of an ideal gas at constant pressure and volume are denotes by `C_(P)` and `C_(upsilon)` respectively. If `gamma = (C_(P))/(C_(upsilon))` and `R` is the universal gas constant, then `C_(upsilon)` is equal to
A. `gamma R`
B. `(1 + gamma)/(1 - gamma)`
C. `(R)/(gamma - 1)`
D. `(gamma - 1)/R`

Answer 1

Correct Answer - C
`gamma = (C_p)/(C_upsilon)` or `C_(p) = gamma C_(upsilon)`
As, `C_(P) = C_(upsilon) = R` , so `gamma C_(upsilon) - C_(upsilon) = R`
or `C_(upsilon) = (R)/(gamma - 1)`.