Question

Suppose you had an ideal gas of molecules of mass m that can move only in one dimension. The gas is in thermal equilibrium at a temperature T. Wnte an expression proportional to the probability of finding a molecule with velocity i. bive an expression Diy fortheprobablity density for molecules of speed v in the gas. Hint: this is much easier to derive than in the three dimensional case. For each v how many speeds vare possible in one dimension? Your expression should be properly normalized; you mzy need the following integral: What is the most likely speed of the molecules? What is the RMS average speed of the molecules? How does this compare to the RMS average speed of a three dimensional gas?

Answer 1

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