The ratio of $\frac{C_p}{C_v}$ for inert gases is

At which of the following conditions will the density of nitrogen be maximum?

$A$ container consists of a mixture of $28 \ g \ N_2$,$8 \ g \ He$,and $40 \ g \ Ne$ at $25^{\circ} C$. If the total pressure exerted by the gaseous mixture is $20 \ bar$,what is the partial pressure exerted by $N_2$ (in $bar$)?

$A$ sample of air contains $N_2, O_2$ and $H_2O$. It is saturated with water vapor and the total pressure is $640 \, torr$. The vapor pressure of water is $40 \, torr$ and the molar ratio of gases ${N_2}:{O_2}$ is $3:1$. What is the partial pressure of $N_2$ in the sample in $torr$?

Cyclopropane and oxygen at partial pressures $170 \ torr$ and $570 \ torr$ respectively are mixed in a gas cylinder. What is the ratio of the number of moles of cyclopropane to the number of moles of oxygen $(n_{C_3H_6}/n_{O_2})$ ?

The ratio of the rate of diffusion of a given element to that of helium is $1.4$. The molecular weight of the element is