At $300 \ K$ temperature and $1 \ atm$ pressure,the weight of $1 \ L$ of a gas is $2 \ g$. If the pressure is changed to $0.75 \ atm$,at what temperature in $K$ will the weight of $1 \ L$ of the same gas be $1 \ g$?

$A$ gas occupies $100 \, cc$ volume at $0 \, ^oC$ temperature and $1 \, atm$ pressure. If the pressure is increased by $1.5$ times and the temperature is increased by one-third of its absolute temperature,what will be the final volume of the gas in $cc$?

If $10^{-4} \ dm^3$ of water is introduced into a $1.0 \ dm^3$ flask at $300 \ K,$ how many moles of water are in the vapour phase when equilibrium is established? (Given: Vapour pressure of $H_2O$ at $300 \ K$ is $3170 \ Pa;$ $R = 8.314 \ J \ K^{-1} \ mol^{-1}$)

For an ideal gas,the compressibility factor $(Z)$ is

If $R = 0.082$,write it with its units and state the value with full precision.

The compressibility factor of an ideal gas is