 # L2 [20 points]. Maxwell velocity Distribution The Maxwell velocity...

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L2 [20 points]. Maxwell velocity Distribution The Maxwell velocity distribution for a classical gas in a cubic box is given by: 3 m 2 fv = e dvxdvydvz 2mk B T is the probability that a particle in a gas of molecules of mass m in system at given temperature T has velocity in the range V III (Ux,Vy,V2) and V + dv. You are given that the Maxwell speed distribution is f (v) dv = dv Here f (v) dv is the probability that a particle in a gas of molecules of mass m in system at given temperature T has speed in the range (v, V + dv). A is a normalization constant. (a) Find the normalization constant A. (b) Calculate the most probable speed. (c) Calculate the room-mean-square speed, where urms III (v²) where (d) Which of the two speeds you calculated is larger? The most probable speed or the r.m.s. speed?

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