The density of a gas is equal to ...... ($P =$ pressure,$V =$ volume,$T =$ temperature,$R =$ gas constant,$n =$ number of moles,and $M_w =$ molecular weight):

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

$N_2$ gas at $100 \, kPa$ pressure is filled in a $1 \, L$ flask and $O_2$ gas at $320 \, kPa$ pressure is filled in another $3 \, L$ flask. If both flasks are connected,what will be the resultant pressure in $kPa$?

Choose the correct option for the graphical representation of Boyle's law,which shows a graph of pressure vs. volume of a gas at different temperatures:

Pressure of $1 \ g$ ideal gas $X$ at $300 \ K$ is $2 \ atm$. When $2 \ g$ of another gas $Y$ is introduced in the same vessel at the same temperature,the total pressure becomes $3 \ atm$. The correct relationship between molar masses of $X$ and $Y$ is:

The compressibility factor for an ideal gas is