A gas consists of 4 molecules with a velocity of `5ms^(-1),10` molecules with a velocity of `3ms^(-1)` and 6 molecules with a velocity of `6ms^(-1)`. Calculate their average velocity, root mean square velocity and most probable velocity.

Explanation

To solve the problem, we need to calculate the average velocity, root mean square (RMS) velocity, and most probable velocity of the gas molecules based on their velocities and quantities. Let's go step by step.

### Step 1: Calculate the Average Velocity

The formula for average velocity (\( V_{avg} \)) is given by:

\[
V_{avg} = \frac{C_1V_1 + C_2V_2 + C_3V_3}{C_1 + C_2 + C_3}
...