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Figure out the significance of parameters m,k in the Maxwell Boltzmann function. Re-write the Maxwell Boltzmann...

Figure out the significance of parameters m,k in the Maxwell Boltzmann function. Re-write the Maxwell Boltzmann function in terms of R and M, where M is the molar mass of the gas.

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Answer #1

The Maxwell Boltzmann function is

In this function, is the mass of each particle(could be either gas atom or molecule).

and is the Boltzmann constant which relates the average kinetic energy of particles in a gas with the temperature of the gas.

Molar mass is defined as the mass of 1 mole of gas. And 1 mole of gas Avogadro number of particles. Therefore the molar mass, M and mass of a single particle is related as follows

where is the Avogadro number

The Maxwell Boltzmann function can be rewritten as

where we have multiplied and divided the factors by Avogardo number.

Now use where M is the molar mass

and where R is the molar gas constant. Therefore the function becomes

This is the Maxwell Boltzmann function in terms of R and M.

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