S C Kheterpal, S N Dhawan and, P N Kapil Solutions for Chapter: States of Matter: Gases and Liquids, Exercise 8: PROBLEMS FOR PRACTICE

Calculate the root mean square, average and most probable speeds of oxygen molecules at $27°\mathrm{C}$.

Calculate (i) root mean square speed (ii) average speed and (iii) most probable speed of ${\mathrm{CO}}_2$ molecules at $700 \mathrm{K}$.

A sample of a gas contains $15$ molecules with a speed of $3 \mathrm{m}/\mathrm{s}$, $25$ molecules with a speed of $5 \mathrm{m}/\mathrm{s}$ and $30$ molecules with a speed of $8 \mathrm{m}/\mathrm{s}$. Calculate root mean square speed of these molecules.

Calculate the temperature at which the average speed of oxygen equals that of hydrogen at $20 \mathrm{K}$.

Calculate the temperatures at which the root mean square speed, average speed and most probable speed of oxygen gas are all equal to $1500 \mathrm{m}/\mathrm{s}$.