Question:
Calculate the volume occupied by 8.8 g of CO2 at 31.1°C and 1 bar pressure.
$\mathrm{R}=0.083$ bar $\mathrm{LK}^{-1} \mathrm{~mol}^{-1}$
Solution:
It is known that,
$p V=\frac{m}{M} \mathrm{RT}$
$\Rightarrow V=\frac{m \mathrm{R} T}{M p}$
Here,
m = 8.8 g
R = 0.083 bar LK–1 mol–1
T = 31.1°C = 304.1 K
M = 44 g
p = 1 bar
Thus, volume $(V)=\frac{8.8 \times 0.083 \times 304.1}{44 \times 1}$
$=5.04806 \mathrm{~L}$
$=5.05 \mathrm{~L}$
Hence, the volume occupied is 5.05 L.
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