Question

What is the relationship between the average velocity (v), root mean square velocity (u) and most probable velocity (a)

• A. α : v: u :: 1:1.128 : 1.224
• B. α : v: u :: 1.128 : 1: 1.224
• C. α : v: u :: 1.128 : 1.224 : 1
• D. α : v: u :: 1.124 : 1.228 : 1

Answer 1

The correct option is A

α : v: u :: 1:1.128 : 1.224

$V_{av}:V_{rms}:V_{mostprobable}=V:U:\alpha$

$\sqrt{\frac{8RT}{\pi M}}:\sqrt{\frac{3RT}{M}}:\sqrt{\frac{2RT}{M}}$

$\alpha :V:U=\sqrt{2}:\sqrt{\frac{8}{\pi }}:\sqrt{3}$ = 1 : 1.128: 1.224