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Statement of a problem № 3575

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Figure 10.1 shows the Maxwell-Boltzmann velocity distribution functions of a gas for two different temperatures, of which first (curve f1 ) is for T1 = 300 K. (a) Read the approximate value for the most probable speed of the molecules from the diagram for each of the two cases. (b) What is the temperature, T2 , when the velocity distribution is given by f2 ? (c) Indicate the average speeds in the diagram for each of the two temperatures and give the ratio between the two average speeds. (d) The gas consists of 5 mol of molecules. If the molecular velocity distribution is given by f2 , estimate the number of those molecules in the gas which have a speed between vA = 800 m/s and vB = 900 m/s.

Solution:
Figure 10.1 shows the Maxwell-Boltzmann velocity distribution functions of a gas

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