Question: 25. The Maxwell-Boltzmann probability density function is given by: where m (kg) is the mass of each molecule, v (m/s) is the speed, T (K)

25. The Maxwell-Boltzmann probability density function is given by:

where m (kg) is the mass of each molecule, v (m/s) is the speed, T (K) is the temperature, and J/K is Boltzmann’s constant. The most probable speed corresponds to the maximum value of and can be determined from . Create a symbolic expression for , differentiate it with respect to v, and show that . Calculate for oxygen molecules ( kg) at K . Make a plot of versus v for m/s for oxygen molecules.

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