Question

$N_2$ molecule is spherical of radius $100A^o$. What is the volume $\left(c{m}^3\right)$ of molecules of one-mole gas?

If the answer is X, then multiply the answer by 2.

Answer 1

The volume of 1 mole of gas molecules is $V=\frac{4}{3}\pi r^3\times N_A$

$100A^o={10}^{-8}c{m}^3$

$V=\frac{4}{3}\times 3.1416\times ({10}^{-8}{)}^3\times 6.023\times {10}^{23}=2.52c{m}^3$

Therefore, the required integer is $2.5\times 2=5$.