Question

Calculate the volume occupied by $8.8\text{g}$ of $C{O}_2$​ at ${31.1}^{\circ }\text{C}$ and $1\text{bar}$ pressure. $(R=0.083{\text{bar L K}}^{-1}{\text{mol}}^{-1})$

• A. $5.05\text{L}$
• B. $10\text{L}$
• C. $3.25\text{L}$
• D. $2.55\text{L}$

Answer 1

The correct option is A $5.05\text{L}$

Ideal gas equation: $PV=nRT$
$\Rightarrow V=\frac{nRT}{P}$
Given:
$P=1\text{bar},T={31.1}^{\circ }\text{C}=304.1\text{K}$
$\text{Number of moles},n=\frac{8.8}{44}=0.2$
Putting all these values in the equation
$\Rightarrow V=\frac{0.2\times 0.083\times 304.1}{1}=5.05\text{L}$