What is the density of ${\mathrm{N}}_2$ gas at ${227}^{\mathrm{o}}\mathrm{C}$ and 5.00 atm. pressure? 

$\left(\mathrm{R}=0.082 \mathrm{L}\text{ atm }{\mathrm{K}}^{-1}{ \mathrm{mol}}^{-1}\right)$

$$\begin{gathered} \mathrm{P} \mathrm{V}=\mathrm{n} \mathrm{R} \mathrm{T} \\ \mathrm{PV}=\frac{\mathrm{W}}{\mathrm{M}}\mathrm{RT}\left[\mathrm{n}=\frac{\text{ Weight of the gas taken }\left(\mathrm{W}\right)}{\text{ Mol. mass of gas }\left(\mathrm{M}\right)}\right] \\ \mathrm{P}=\frac{\mathrm{W}}{\mathrm{M}}\times \frac{\mathrm{RT}}{\mathrm{V}} \\ \mathrm{P}=\frac{\mathrm{dRT}}{\mathrm{M}} \left[\text{ density }=\frac{\text{ Mass }}{\text{ Volume }}\right] \\ \mathrm{d}=\frac{\mathrm{PM}}{\mathrm{RT}} \\ =\frac{5\times 28}{0.0821\times 500}=3.41 \mathrm{g}/\mathrm{L} \end{gathered}$$