A flask contains argon and chlorine in the ratio 2:1 by mass. The temperature of the mixture is `27^(@)`. Obtain the ratio of
(i) average kinetic energy per molecule, and
(ii) root mean square speed of the molecules of two gases.
Atomic mass of argon = 39.9 u, Molecular mass of chlorine = 70.9 u.

Explanation

To solve the problem, we need to find the ratio of average kinetic energy per molecule and the root mean square speed of argon and chlorine gases in a flask.

### Step 1: Average Kinetic Energy per Molecule

The average kinetic energy (KE) per molecule of a gas is given by the formula:

\[
KE = \frac{3}{2} k_B T
...