Q. The diameter of oxygen molecule is $2.94 \times 10^{- 10}m.$ The Vander Waal’s gas constant $'b'$ in $m^{3}/mol$ will be

A) $3.2$
B) $16$
C) $32 \times 10^{- 4}$
D) $32 \times 10^{- 6}$
Explanation

(d) Vander Waal’s gas constant $b = 4 \times$ total volume of all the molecules of the gas in the enclosure
Or $b = 4 \times N \times \frac{4}{3}\pi\left( \frac{d}{2} \right)^{3} = \frac{2}{3}\pi Nd^{3}$
$= \frac{2}{3} \times 3.14 \times 6.02 \times 10^{23} \times \left( 2.94 \times 10^{- 10} \right)^{3} = 32 \times 10^{- 6}\frac{m^{3}}{mol}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

Want more practice?
Practice Kinetic Theory MCQs