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

Explanation

To solve the problem step by step, we will calculate the mean free path, collision frequency, and compare the collision time with the time a nitrogen molecule moves freely between two successive collisions.

### Step 1: Convert Given Values
1. **Pressure (P)**: Given as 2 atm. Convert to Pascals:
\[ P = 2 \, \text{atm} \times 1.01 \times 10^5 \, \text{Pa/atm} = 2.02 \times 10^5 \, \text{Pa} \]

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