Question

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

• 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

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

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

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