$A$ cylinder of $5 \, L$ capacity,filled with air at $NTP$,is connected to another evacuated cylinder of $30 \, L$ capacity. The resultant air pressure in both the cylinders will be .............. $cm$ of $Hg$.

If $2.5$ moles of an ideal gas at a certain temperature are allowed to expand isothermally and reversibly from an initial volume of $2$ $dm^3$ to $20$ $dm^3$,the work done by the gas is $-16.5$ $kJ$. The temperature (in $K$) of the gas is (Round off to the nearest value). $(R = 8.314 \ J \ K^{-1} \ mol^{-1})$

At constant pressure,the temperature of $20 \ L$ of helium gas is increased from $100 \ K$ to $300 \ K$. What will be the change in volume in $L$?

Which of the following equations is true for $8.8 \times 10^{-2} \ kg$ of carbon dioxide gas?

What is the density of $N_2$ gas at $227\,^\circ C$ and $5.00\ atm$ pressure? (Given: $R = 0.082\ L\ atm\ K^{-1}\ mol^{-1}$)

At what temperature in $K$ will $28 \ g$ of $N_2$ gas occupy a volume of $10.0 \ L$ at $2.46 \ atm$ pressure?