At $27^{\circ} C$ in a $10 \ L$ flask,$4.0 \ g$ of an ideal gaseous mixture containing $He$ (molar mass $4.0 \ g \ mol^{-1}$) and $Ne$ (molar mass $20 \ g \ mol^{-1}$) has a pressure of $1.23 \ atm$. What is the mass $\%$ of neon? $(R = 0.082 \ L \ atm \ K^{-1} \ mol^{-1})$

At what new pressure will $100 \ mL$ of a gas at a pressure of $720 \ mm$ occupy a volume of $84 \ mL$,keeping the temperature constant (in $mm$)?

By what other name is the ideal gas equation known? Why?

The pressure exerted by a non-reactive gaseous mixture of $6.4 \ g$ of methane and $8.8 \ g$ of carbon dioxide in a $10 \ L$ vessel at $27^{\circ} C$ is .............$kPa$.
(Round off to the Nearest Integer).
[Assume gases are ideal,$R = 8.314 \ J \ mol^{-1} K^{-1}$
Atomic masses $: C = 12.0 \ u, H = 1.0 \ u, O = 16.0 \ u]$

$A$ bubble is at the bottom of a lake of depth $h$. As the bubble rises to the surface,its radius increases by a factor of $3$. If the atmospheric pressure is equal to the pressure exerted by a water column of height $\ell$,then $h$ is equal to:

At $25 \, ^\circ C$,a $3.7 \, g$ gas occupies the same volume as $0.184 \, g$ of $H_2$ gas at $17 \, ^\circ C$ under the same pressure. What is the molar mass of the gas?