If the number of molecules of a gas in a closed vessel is doubled what happens to (i) the pressure of the gas, (ii) the total kinetic energy and (iii) the r.m.s. velocity of the gas?

Explanation

To solve the question, we need to analyze the effects of doubling the number of molecules of a gas in a closed vessel on three properties: pressure, total kinetic energy, and root mean square (r.m.s.) velocity.

### Step-by-Step Solution:

1. **Understanding the Ideal Gas Law**:
The ideal gas law is given by the equation:
\[
PV = nRT
...