If the density of a gas at sea level is $1.5 \ mg \ L^{-1}$,find the density of that gas on Mount Abu,where the pressure is $0.5 \ bar$. (Assume pressure at sea level is $1.0 \ bar$ and use the formula $\frac{d_1}{d_2} = \frac{p_1}{p_2}$) (in $mg \ L^{-1}$)

Two closed bulbs of equal volume $V$ containing an ideal gas initially at pressure $P_i$ and temperature $T_1$ are connected through a narrow tube of negligible volume as shown in the figure below. The temperature of one of the bulbs is then raised to $T_2$. The final pressure $P_f$ is:

$N_2$ gas at $100 \, kPa$ pressure is filled in a $1 \, L$ flask and $O_2$ gas at $320 \, kPa$ pressure is filled in another $3 \, L$ flask. If both flasks are connected,what will be the resultant pressure in $kPa$?

$A$ gas occupies $2.5 \ L$ at $0 \ ^oC$ and $1 \ atm$ pressure. If the pressure is increased to $1.5 \ atm$ and the gas is transferred to a $2.0 \ L$ container,what will be the change in temperature in $^oC$?

Using the equation of state $pV = nRT$,show that at a given temperature,the density of a gas is proportional to the gas pressure $p$.

The density of ammonia gas at $27^{\circ}C$ and $3 \, atm$ pressure is approximately: