Question

Find the ratio of the root mean square velocity to average velocity for an assembly of two molecules one with a speed of 3m/s and 5m/s

Answer 1

Root Mean Velocity =
$\sqrt{ ({3}^{2} + {5}^{2} ) \div 2 }$
$= \sqrt{17 } = 4.123 \: \frac{m}{s}$
Average Mean Velocity =
$3 + 5 \div 2$
$= \: 4 \frac{m}{s}$
Ratio of Root Mean Velocity to Average Mean Velocity =4.123:4=1.031:1.