There are N molecules of a gas in a containter. If this number is increased to 2N, what will be (i) pressure (ii) total energy (iii) rms speed of the gas ?

Explanation

To solve the problem step by step, we will analyze the effects of doubling the number of gas molecules (from N to 2N) on pressure, total energy, and root mean square (rms) speed.

### Step 1: Analyze the Effect on Pressure

**Pressure (P)** in a gas is directly proportional to the number of molecules (N) in the container. According to the kinetic theory of gases, the pressure exerted by a gas can be expressed as:

\[ P \propto N \]

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