# Calculate the density of $CO_2\; at \;100^{\large\circ}C$ and 800mm Hg pressure.

$(a)\;1.5124g/l\qquad(b)\;151.24g/l\qquad(c)\;2.3g/l\qquad(d)\;2.094g/l$

P = $\large\frac{800 \text{ mm Hg}}{760}=\large\frac{800}{760}atm$
T = 273+100 = 300K
Let the density be d for $CO_2$
From Ideal gas equation, for $CO_2$ PV = $\large\frac{w}{m}RT$
P = $\large\frac {d}{m} RT$
(Since d = $\large\frac{w}{v}$)
$\large\frac{800}{760} = \large\frac{d}{44}\times0.0821\times373$
$\therefore d = 1.5124g/l$
edited Apr 2, 2014