For $1 \ mol$ of an ideal gas,an isochore is obtained. The slope of the isochore is $0.082 \ atm \ K^{-1}$. What will be its pressure (in $atm$) when the temperature is $12.2 \ K$? $(R = 0.082 \ L \ atm \ mol^{-1} \ K^{-1})$.

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 $mg \ L^{-1}$)

$A$ certain sample of gas occupies a volume of $0.2 \ L$ at $0 \ ^oC$ and $1 \ \text{atm}$ pressure. What will be its volume at the same pressure but at $273 \ ^oC$ (in $L$)?

The correct value of the gas constant $R$ is close to

Calculate the weight of $CH_4$ in a $9 \ L$ cylinder at $16 \ atm$ and $27 \ ^\circ C$ in grams.

If $P$ is pressure and $\rho$ is density of a gas,then $P$ and $\rho$ are related as