$A$ and $B$ are ideal gases. At $T(K)$,$2 \ L$ of $A$ with a pressure of $1 \ bar$ is mixed with $4 \ L$ of $B$ with a pressure $p_B \ bar$ in a $100 \ L$ flask. The pressure exerted by the gaseous mixture is $0.1 \ bar$. What is the value of $p_B$ in $bar$?

When does $Z = 1$ occur?

$A$ balloon is filled with hydrogen at room temperature. It will burst if pressure exceeds $0.2 \ bar$. If at $1 \ bar$ pressure the gas occupies $2.27 \ L$ volume,up to what volume can the balloon be expanded?

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 $: C = 12.0 \ u, H = 1.0 \ u, O = 16.0 \ u]$

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.

$A$ sample of gas has a volume of $95 \, cm^3$ at a pressure of $9.962 \times 10^4 \, N m^{-2}$ and constant temperature. What will be its volume at $10.13 \times 10^4 \, N m^{-2}$ pressure at the same temperature (in $, cm^3$)?