if the mean free path of a molecule of an ideal gas having diameter `10^(-8)cm` is `10^(-4)`cm, calculate the number density of the gas molecule.

Explanation

To solve the problem of calculating the number density of gas molecules given the mean free path and the diameter of the molecules, we can follow these steps:

### Step 1: Write down the formula for mean free path
The mean free path \( L \) is related to the number density \( n \) and the diameter \( d \) of the molecules by the formula:
\[ L = \frac{1}{\sqrt{2} \pi d^2 n} \]

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