Question

The excluded volume of molecules in motion is ________ times , the actual volume of molecule in rest ?

• A. $2$
• B. $4$
• C. $3$
• D. $0.5$

Answer 1

The correct option is B $4$

The excluded volume for $2$ articles (of average radius $r$) is,

$b^{\prime }=\frac{4\pi {\left(2r\right)}^3}{3}=8\left(\frac{4\pi r^3}{3}\right)$

Whiche divided by $2$ gives excluded volume per particle $=4\left(\frac{4\pi r^3}{3}\right)$

Hence, this is $4$ times the proper volume of the particle at rest.