The temperature at which real gases obey the ideal gas laws over a wide range of pressure is called:

The density of ammonia gas at $27\,^oC$ and $3\, atm$ pressure is approximately .......

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

Assuming the molar mass of air is $28.84 \, g \, mol^{-1}$,calculate the payload (lifting capacity) of a balloon of volume $10^6 \, L$ filled with $He$ at $27 \, ^\circ C$ and $1 \, atm$ pressure.

An ideal gas $(X)$ present in a vessel of volume $V \ L$ exerted a pressure of $16.4 \ atm$ at $200 \ K$. What is its concentration in $mol \ L^{-1}$? (Given $R=0.082 \ L \ atm \ mol^{-1} \ K^{-1}$)

An $LPG$ (Liquefied Petroleum Gas) cylinder weighs $15.0 \ kg$ when empty. When full,it weighs $30.0 \ kg$ and shows a pressure of $3.0 \ atm$. In the course of usage at $27^{\circ}C$,the mass of the full cylinder is reduced to $24.2 \ kg$. The volume of the used gas in cubic metre at the normal usage condition ($1 \ atm$ and $27^{\circ}C$) is (assume $LPG$ to be normal butane and it behaves ideally). (in $m^3$)