In the ideal gas equation,the gas constant $R$ has the dimensions of

The volume of a gas is $4 \ dm^3$ at $0^{\circ} C$. Calculate the new volume at constant pressure when the temperature is increased by $10^{\circ} C$. (in $dm^3$)

The compressibility factor for an ideal gas is

At $740 \ torr$ pressure,the volume of $N_2$ gas is $800 \ mL$. If the volume becomes $540 \ mL$ at constant temperature,calculate the pressure of the gas. (in $torr$)

$A$ gas is present at a pressure of $2 \,atm$. What should be the increase in pressure, so that the volume of the gas can be decreased to $\frac{1}{4}$ of the initial volume at constant temperature (in $\,atm$)?

The value of the compressibility factor for an ideal gas is ........ .