Question

For a gas $\left(R/C_v\right)=0.67$ the gas is made up of molecules which are
($R$ = gas constant and $C_v$ = heat capacity at constant volume)

• A. monoatomic
• B. diatomic
• C. polyatomic
• D. mixture of gases

Answer 1

The correct option is A monoatomic

we know
$R=C_p-C_v$
$C_p$=heat capacity at constant pressure

dividing whole equation by $C_v$
$\therefore \frac{R}{C_v}=\frac{C_p-C_v}{C_v}=0.67or\frac{C_p}{C_v}-1=0.670or\frac{C_p}{C_v}=\gamma =1.67$

$\gamma$ is measure of atomicity of gas for monoatomic gases its value is around 1.67.