614_Physics ProblemsTechnical Physics

614_Physics ProblemsTechnical Physics - 616 The Kinetic...

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616 The Kinetic Theory of Gases P21.37 (a) v nv N ii av ms = = +++++ = 1 15 12 23 35 47 39 212 680 af a f . (b) v N 2 2 54 9 ej av 22 == . so vv rms av = 2 54 9 7 41 .. (c) v mp = 700 . P21.38 (a) V V RT M RT M rms, 35 rms, 37 gmo l l F H G I K J = 3 3 12 35 37 37 0 35 0 103 . . . (b) The lighter atom, 35 Cl , moves faster. P21.39 In the Maxwell Boltzmann speed distribution function take dN dv v = 0 to find 4 2 2 2 0 32 23 π N m kT mv v mv BB B F H G I K J F H G I K J F H G I K J = exp and solve for v to find the most probable speed. Reject as solutions v = 0 and v =∞ Retain only 20 2 −= mv B Then v m B mp = 2 P21.40 The most probable speed is v m B mp JK K kg × × = 2 2 1 38 10 4 20 664 10 132 23 27 . . P21.41 (a) From v m B av = 8 we find the temperature as
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