Estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 2 atm. And temperature `17^(@)`. Take the radius of a nitrogen molecule to be roughly `1.0 Å`. Compare the collision time with the time molecule moves freely between two successive collisions. (Molecular mass of nitrogen = 28.0 u).

Explanation

To solve the problem of estimating the mean free path and collision frequency of a nitrogen molecule in a cylinder at a pressure of 2 atm and a temperature of 17°C, we will follow these steps:

### Step 1: Convert Given Values
1. **Pressure Conversion**: Convert the pressure from atm to Pascals (N/m²).
\[ P = 2 \, \text{atm} = 2 \times 1.01 \times 10^5 \, \text{N/m}^2 = 2.02 \times 10^5 \, \text{N/m}^2 \]

...