Question

If molecule of the gas are spherical of radius 1 A, the volume occupied by the molecules in 1 mol of a gas is :

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

Answer 1

Answer: (C)

2.52 $mL$

Volume of sphere
$V$ = $\frac{4}{3}$$\pi$r${}^3$
$V_m$ = $\frac{4}{3}$ $\times$ $\pi$ (10${}^{-10}$)${}^3$ $\times$ 6.023 $\times$ 10${}^{23}$
$V_m$ = 2.52 $\times$ 10${}^{-6}$ $m^3$
$V_m$ = 2.52 $mL$

Hence, the correct option is $\text{C}$