$A$ vessel of volume $1.2 \, L$ contains a gas at $1000 \, torr$ pressure. Another vessel of volume $3.8 \, L$ contains the same gas at $500 \, torr$ pressure. If both vessels are connected by a tube of negligible volume,what will be the resultant pressure in $torr$ when equilibrium is established?

If $4 \ g$ of oxygen gas diffuses through a fine hole,how many grams of hydrogen gas will diffuse under the same conditions?

What is the ratio of kinetic energies of $3 \ g$ of hydrogen and $4 \ g$ of oxygen at a certain temperature?

$A$ clathrate can be defined as:

$A$ beaker containing a mixture of liquid $A$ and liquid $B$,in equilibrium with each other,is cooled very slowly. If point '$D$' on the graph is where solidification of both liquids is complete,how many different phases co-exist along line '$C D$' if freezing points of liquid $B$ and liquid $A$ are $-25^{\circ} C$ and $-78^{\circ} C$ respectively?

Two gases $X$ and $Y$ are taken in equal molar proportions. The ratio of their rates of diffusion is $1 : 2$. What will be the mole fraction of $X$ in a mixture containing $2 \ g$ of $X$ and $3 \ g$ of $Y$?