The volume of a gas at $30^{\circ} C$ temperature and $760 \ mm$ of $Hg$ pressure is $100 \ cc$. Then its volume at the same temperature and $400 \ mm$ of $Hg$ is (in $cc$)

Consider a $1 \, cm^3$ sample of air at absolute temperature $T_0$ at sea level and another $1 \, cm^3$ sample of air at a height where the pressure is one-third atmosphere. The absolute temperature $T$ of the sample at that height is

Two vessels separately contain two ideal gases $A$ and $B$ at the same temperature. The pressure of gas $A$ is three times the pressure of gas $B$. Under these conditions, the density of gas $A$ is found to be two times the density of $B$. The ratio of molecular weights of gas $A$ and $B$ i.e. $\frac{M_A}{M_B}$ is

At constant pressure,the ratio of the increase in volume of an ideal gas per degree rise in temperature to its original volume is ... (where $T$ is the absolute temperature of the gas).

Calculate the volume of vapour of $1\,g$ of water at $1\,atm$ pressure.

$1$ mole of gas occupies a volume of $100\, ml$ at $50\, mm$ pressure. What is the volume occupied by two moles of gas at $100\, mm$ pressure and at the same temperature? (in $ml$)