An open vessel at $27\,^oC$ is heated such that $\frac{3}{5}$ of the air in it is expelled. Assuming the volume of the vessel remains constant,calculate the temperature in $K$ to which the vessel was heated.

If $P$,$V$,and $T$ represent pressure,volume,and temperature of the gas,the correct representation of Boyle's law is:

$A$ gas occupies $600 \ mL$ at $27 \ ^\circ C$ and $730 \ mm$ pressure. What will be its volume at $STP$ in $litres$?

When $16 \, g$ of oxygen and $3 \, g$ of hydrogen are mixed at $760 \, mm$ pressure and $0 \, ^\circ C$,the total volume of the mixture will be approximately:

An $LPG$ (Liquefied Petroleum Gas) cylinder weighs $15.0 \ kg$ when empty. When full, it weighs $30.0 \ kg$ and shows a pressure of $3.0 \ atm$. In the course of usage at $27^{\circ}C$, the mass of the full cylinder is reduced to $24.2 \ kg$. The volume of the used gas in cubic metre at the normal usage condition ($1 \ atm$ and $27^{\circ}C$) is (assume $LPG$ to be normal butane and it behaves ideally). (in $m^3$)

The density of acetic acid vapor at $300 \ K$ and $1 \ atm$ is $5 \ mg \ cm^{-3}$. The number of acetic acid molecules in the cluster that is formed in the gas phase is closest to