Question

The diameter of oxygen molecules is $2.94\times {10}^{-10}m$. The Van der Waals gas constant in m${}^3$/mol will be

• A. $3.2$
• B. $32$
• C. $32\times {10}^{-6}$
• D. $32\times {10}^{-3}$

Answer 1

The correct option is C $32\times {10}^{-6}$

$b=4N\times \frac{4}{3}\pi \frac{d^3}{8}$ (standard definition of boyles constant)
$=\frac{4\times 6.02\times {10}^{23}\times 3.14\times {2.94}^3\times {10}^{-30}}{3\times 8}$
$=32\times {10}^{-6}$