The perfect gas equation for $4 \ g$ of hydrogen gas is

Two containers $C_{1}$ and $C_{2}$ of volumes $V$ and $4V$ respectively,hold the same ideal gas and are connected by a thin horizontal tube of negligible volume with a valve which is initially closed. The initial pressures of the gas in $C_{1}$ and $C_{2}$ are $p$ and $5p$,respectively. Heat baths are employed to maintain the temperatures in the containers at $300 \, K$ and $400 \, K$,respectively. The valve is now opened. Select the correct statement.

An open and wide glass tube is immersed vertically in mercury in such a way that a length of $0.05 \, m$ extends above the mercury level. The open end of the tube is closed and the tube is raised further by $0.43 \, m$. The length of the air column above the mercury level in the tube will be ...... $m$. Take $P_{atm} = 76 \, cm$ of mercury.

Which one of the following graphs represents the behavior of an ideal gas at a constant temperature?

If a given mass of gas occupies a volume of $10\, cc$ at $1\, atm$ pressure and a temperature of $100^{\circ}C$ $(373.15\, K)$,what will be its volume at $4\, atm$ pressure,assuming the temperature remains constant?

One mole of an ideal gas undergoes a process $P = \frac{2V^2}{1+V^2} \, Pa$. The change in temperature of the gas when the volume changes from $V = 1 \, m^3$ to $V = 2 \, m^3$ is: