1.40L of an unknown gas requires 57 second to diffuse and the same volume of `N_(2)` gas takes 84 second to diffuse at the same temperature and pressure. What is the molecular mass of the unknown gas?

Explanation

To find the molecular mass of the unknown gas, we can use Graham's law of effusion, which states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass. The formula can be expressed as:

\[ \frac{\text{Rate of } N_2}{\text{Rate of unknown gas}} = \sqrt{\frac{M_{\text{unknown}}}{M_{N_2}}} \]

Where:
- \( M_{\text{unknown}} \) is the molar mass of the unknown gas.
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