Question

If molecules of the gas are spherical of radius $1\stackrel{o}{A}$, the volume occupied by the molecules in $1$ mol of a gas is:

• A. $22400$ mL
• B. $22.4$ mL
• C. $2.52$ mL
• D. $4.22$ mL

Answer 1

The correct option is C $2.52$ mL

We have,

$\left(V\right)$ volume of sphere is $\frac{4}{3}\pi r^2$

$=\frac{4}{3}\times \pi {\left({10}^{-10}\right)}^3\times 6.23\times {10}^{23}$

$=2.52\times {10}^{-6}{m}^3$

$=2.52mL$