The Maxwell–Boltzmann distribution
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Khan AcademySal Khan
The Maxwell–Boltzmann distribution
The Maxwell–Boltzmann distribution describes the distribution of speeds among the particles in a sample of gas at a given temperature. The distribution is often represented graphically, with particle speed on the x-axis and relative number of particles on the y-axis.
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1. Plot the Maxwell-Boltzmann distribution function, p(v), for molecular speeds versus thespeed, v, for N2 gas at 50°C and 1400° C. Locate the most probable speed, the average speed, andthe root mean square speed on both graphs. Turn in the graphs, the spread sheets, and the typedspreadsheet formulas for each column—no two students should have exactly the samespreadsheet formats.2. What is the mean relative velocity at 300 K for nitrogen and hydrogen molecules.3. A vessel contains O2 at 8.0 torr
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1. Plot the Maxwell-Boltzmann distribution function, p(v), for molecular speeds versus thespeed, v, for N2 gas at 50°C and 1400° C. Locate the most probable speed, the average speed, andthe root mean square speed on both graphs. Turn in the graphs, the spread sheets, and the typedspreadsheet formulas for each column—no two students should have exactly the samespreadsheet formats.2. What is the mean relative velocity at 300 K for nitrogen and hydrogen molecules.3. A vessel contains O2 at 8.0 torr
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