The density of a gas $A$ is three times that of a gas $B$. If the molecular mass of $A$ is $M$,the molecular mass of $B$ is:

Match the following graphs of a gas with their corresponding $y$ and $x$ coordinates:

Graph	Coordinates ($y$ vs $x$)
$(A)$ Hyperbola	$1. \ y = PV, x = V$
$(B)$ Straight line passing through origin	$2. \ y = P, x = V$
$(C)$ Horizontal line parallel to $x$-axis	$3. \ y = P, x = 1/V$

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:

Two graphs for an ideal gas are given below. Determine which value,$m_1$ or $m_2$,is greater.

When the absolute temperature of an ideal gas is doubled and the pressure is halved,the volume of the gas

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.