The graph shows the distribution of molecular velocities for two different molecules (A and B) at the same temperature. Which molecule has the higher molar mass? Which molecule has the higher rate of effusion?

Key Concepts

Molecular Velocity Distribution

The molecular velocity distribution describes how the speeds of molecules in a gas vary at a given temperature. It is typically represented by a graph showing the number of molecules at different velocities. The shape of the distribution indicates the average speed and the spread of molecular speeds, which is influenced by the mass of the molecules.

Graham's Law of Effusion

Graham's Law states that the rate of effusion of a gas is inversely proportional to the square root of its molar mass. This means that lighter molecules effuse faster than heavier ones. In the context of the question, the molecule with the higher average velocity in the distribution graph will have a lower molar mass and thus a higher rate of effusion.

Kinetic Molecular Theory

Kinetic Molecular Theory explains the behavior of gases in terms of particle motion. It posits that gas molecules are in constant random motion and that temperature is a measure of the average kinetic energy of these molecules. This theory helps to understand why lighter molecules move faster than heavier ones at the same temperature, affecting their velocity distribution and effusion rates.