If the pressure of a gas is doubled and the temperature is tripled, by how much will the mean free path of a gas molecule in a vessel change?

Options

A. Increase `3` times
B. Decrease `3` times
C. Increase `1.5` times
D. Decrease `1.5` times

Explanation

To solve the problem, we need to determine how the mean free path (λ) of a gas molecule changes when the pressure is doubled and the temperature is tripled. The mean free path is related to temperature and pressure by the formula:

\[ \lambda \propto \frac{T}{P} \]

### Step-by-Step Solution:

...