The density of an ideal gas can be given by where $P$,$V$,$M$,$T$ and $R$ respectively denote pressure,volume,molar mass,temperature and universal gas constant.

At $T$ $K$,an ideal gas $(Z)$ present in $V$ $L$ flask exerted a pressure of $16.4$ $atm$. Its concentration is $1$ $mol$ $L^{-1}$. What is the value of $T$ in $K$?

$A$ 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 $^oC$?

Pay load is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the pay load when a balloon of radius $10 \, m$,mass $100 \, kg$ is filled with helium at $1.66 \, bar$ at $27^{\circ} C$. (Density of air $= 1.2 \, kg \, m^{-3}$ and $R = 0.083 \, bar \, dm^{3} \, K^{-1} \, mol^{-1}$).

At constant temperature,a gas is at a pressure of $940.3 \, mm \, Hg$. The pressure at which its volume decreases by $40 \%$ is $......... \, mm \, Hg$. (Nearest Integer)

What is the density of carbon monoxide at $STP$ in $g \, L^{-1}$?