Calculate the values of `sigma`, `l` (mean free path),`Z_(1)` and `Z_(11)` for oxygen at `300 K` at a pressure of `1 atm`. Given `b=3.183xx10^(-2) dm^(3)mol^(-1)`.

Explanation

To solve the problem step by step, we will calculate the values of σ (collision diameter), l (mean free path), Z₁ (collision factor), and Z₁₁ for oxygen at 300 K and 1 atm pressure, given that b = 3.183 × 10^(-2) dm³ mol^(-1).

### Step 1: Calculate the number of molecules per unit volume (n')
The formula to calculate the number of molecules per unit volume is:
\[ n' = \frac{P}{k \cdot T} \]
Where:
- \( P = 1 \, \text{atm} = 1.013 \times 10^5 \, \text{Pa} \)
- \( k = 1.38 \times 10^{-23} \, \text{J/K} \) (Boltzmann constant)
...