The following data is obtained for $1 \ mole$ of a gas. The gas behaves as an ideal gas in the pressure range (in $bar$):

$P \ (bar)$	$\frac{PV}{RT}$
$1$	$1$
$2$	$1$
$3$	$1$
$4$	$1.5$
$5$	$2.0$

$4 \ g$ of an ideal gas $A$ (molar mass $= M_A$) present in a vessel of a volume $V \ L$ exerted a pressure of $5 \ atm$ at $300 \ K$. When $16 \ g$ of another ideal gas $B$ (molar mass $= M_B$) was introduced into this vessel at the same temperature, the pressure increased to $10 \ atm$. What is the correct relationship between $M_A$ and $M_B$?

$A$ dry gas occupied $127.4 \, mL$ at $STP$. If the same mass of the gas is collected over water at $27 \, ^\circ C$ and at a total pressure of $725 \, torr$,what volume does it occupy? The vapour pressure of water at $27 \, ^\circ C$ is $25 \, torr$. (Note: $1 \, bar = 750 \, torr$)

$A$ vessel contains $3.2 \ g$ of dioxygen gas at $STP$ ($273.15 \ K$ and $1 \ atm$ pressure). The gas is now transferred to another vessel at constant temperature,where pressure becomes one third of the original pressure. The volume of the new vessel in $L$ is $........$ (Given: molar volume at $STP$ is $22.4 \ L$)

What is the volume in $litre$ occupied by $7 \, g$ of $N_2$ gas at $27 \, ^oC$ temperature and $750 \, mm \, Hg$ pressure?

What will be the pressure exerted by a mixture of $3.2 \ g$ of methane and $4.4 \ g$ of carbon dioxide contained in a $9 \ dm^3$ flask at $27^{\circ} C$?