For an ideal gas, A) $\frac { C _ { P } } { C _ { V } }$ = 1 for all ideal gases. B) $\frac { C _ { P } } { C _ { V } }$ 1 for all monatomic and diatomic gases. D) $\frac { C _ { P } } { C _ { V } }$

Question

For an ideal gas,
A) $\frac { C _ { P } } { C _ { V } }$ = 1 for all ideal gases.
B) $\frac { C _ { P } } { C _ { V } }$ < 1 for all monatomic and diatomic gases.
C) $\frac { C _ { P } } { C _ { V } }$ > 1 for all monatomic and diatomic gases.
D) $\frac { C _ { P } } { C _ { V } }$ < 1 only for a monatomic gas.
E) $\frac { C _ { P } } { C _ { V } }$ < 1 only for a diatomic gas.

Quizplus · Accepted Answer

For an ideal gas, $\frac { C _ { P } } { C _ { V } }$ (gamma) is always greater than 1 because $C_P$ is always greater than $C_V$ due to the additional work done at constant pressure.

For an Ideal Gas, A) CPCV\frac { C _ { P } } { C _ { V } }CV​CP​​

For an Ideal Gas,
A) $\frac { C _ { P } } { C _ { V } }$