A cubical vessel of side 1 m contains one mole of nitrogen at a temperature of 300 K. If the molecuels are assuming to move with the rms velocity
find the number of collisions per second which the molecules may make with the wall of the vessel

Explanation

To solve the problem of finding the number of collisions per second that nitrogen molecules make with the walls of a cubical vessel, we can follow these steps:

### Step 1: Understand the given data
- **Volume of the cubical vessel (V)**: Since the side of the cube is 1 m, the volume \( V = 1^3 = 1 \, \text{m}^3 \).
- **Number of moles of nitrogen (n)**: 1 mole.
- **Temperature (T)**: 300 K.
- **Molar mass of nitrogen (N₂)**: Approximately 28 g/mol, which is \( 28 \times 10^{-3} \, \text{kg/mol} \).
- **Avogadro's number (Nₐ)**: \( 6.022 \times 10^{23} \, \text{molecules/mol} \).
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