$A$ perfect gas at $27^\circ C$ is heated at constant pressure to $327^\circ C$. If the original volume of the gas at $27^\circ C$ is $V$,then the volume at $327^\circ C$ is:

What is the equation of state for $8 \, g$ of $O_2$?

Column-$I$ represents gas laws and Column-$II$ represents the physical quantity which is constant for the given law. Match them correctly:

Column-$I$	Column-$II$
$(a)$ Boyle's law	$(i)$ Pressure
$(b)$ Charles's law	$(ii)$ Volume
	$(iii)$ Temperature

The adjoining figure shows graphs of pressure and volume of a gas at two temperatures $T_1$ and $T_2$. Which of the following is correct?

The gas law $\frac{PV}{T} = \text{constant}$ is true for

$A$ long cylindrical pipe of radius $20 \,cm$ is closed at its upper end and has an airtight piston of negligible mass as shown. When a $50 \,kg$ mass is attached to the other end of the piston,it moves down by a distance $\Delta l$ before coming to equilibrium. Assuming air to be an ideal gas,$\Delta l / l$ (see figure) is close to ($g=10 \,m/s^2$,atmospheric pressure is $10^5 \,Pa$):