The density of methane at $27\,^oC$ and $2.0\,atm$ pressure is ............ $g\,L^{-1}$.

Choose the correct option for the graphical representation of Boyle's law,which shows a graph of pressure vs. volume of a gas at different temperatures:

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 $mm$)?

$A$ flask of $1 \ L$ capacity is heated from $25 \ ^oC$ to $35 \ ^oC$. What volume of air (in $mL$) will be expelled from the flask?

At $T \ (K)$ for one mole of an ideal gas,the graph of $P$ (on $y$-axis) and $V^{-1}$ (on $x$-axis) gave a straight line with a slope of $32.8 \ L \ atm \ mol^{-1}$. What is the temperature (in $K$)? $\left(R=0.082 \ L \ atm \ K^{-1} \ mol^{-1}\right)$

Calculate the density of a gaseous mixture which consists of $3.01 \times 10^{24}$ molecules of $N_2$ and $32 \ g$ of $O_2$ gas at $3 \ atm$ pressure and $860 \ K$ temperature. (Given: $R = 1/12 \ atm \ L \ mol^{-1} \ K^{-1}$) ............. $g/L$