$A$ certain mass of gas occupies a volume of $300 \, cc$ at $27 \, ^oC$ and $620 \, mm$ pressure. The volume of this gas at $47 \, ^oC$ and $640 \, mm$ pressure will be ........... $cc$.

$A$ student forgot to add the reaction mixture to the round bottomed flask at $27^{\circ} C$ but instead he/she placed the flask on the flame. After a lapse of time,he realized his mistake,and using a pyrometer he found the temperature of the flask was $477^{\circ} C$. What fraction of air would have been expelled out?

In terms of Charles' law,explain why $-273^{\circ} C$ is the lowest possible temperature.

Find the pressure of $5 \ mol$ $Cl_2$ gas filled in a $2 \ L$ vessel at $27 \ ^oC$ temperature. (in $bar$)

At a given temperature,the density of gas $x$ is twice the density of gas $y$. If the molar mass of $y$ is three times the molar mass of $x$,find the ratio of their pressures $(P_x/P_y)$.

The compressibility factor of an ideal gas is