Vessels $A$ and $B$ contain the same gas. If the pressure,volume,and temperature of $A$ are all double those of $B$,then the ratio of the number of molecules in $A$ to $B$ is ..........

$A$ box contains $0.90 \ g$ of liquid water in equilibrium with water vapour at $27^{\circ} C$. The equilibrium vapour pressure of water at $27^{\circ} C$ is $32.0 \ Torr$. When the volume of the box is increased,some of the liquid water evaporates to maintain the equilibrium pressure. If all the liquid water evaporates,then the volume of the box must be $.... \ litre$. [nearest integer]
(Given $R = 0.082 \ L \ atm \ K^{-1} \ mol^{-1}$)
(Ignore the volume of the liquid water and assume water vapours behave as an ideal gas.)

For an ideal gas,if $P$ is the pressure,$R$ is the gas constant,and $T$ is the temperature,which of the following represents the number of moles per liter?

At $298 \, K$ temperature,$4 \, g$ of $H_2$ gas is filled in a $500 \, mL$ vessel. Due to a small hole in the vessel,after some time,the pressure in the vessel becomes $50 \, bar$. Find the number of $H_2$ molecules that have escaped from the vessel? $(R = 8.314 \times 10^{-2} \, L \, bar \, mol^{-1} \, K^{-1})$

The volume of a given mass of a gas is directly proportional to its Kelvin temperature at constant pressure. The above statement is known as . . . . . .

The pressure $p$ of a gas is plotted against its absolute temperature $T$ for two different constant volumes,$V_1$ and $V_2$. When $V_1 > V_2$,the