616_Physics ProblemsTechnical Physics

616_Physics ProblemsTechnical Physics - 618 P21.46 The...

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618 The Kinetic Theory of Gases P21.46 The average molecular speed is v kT m kNT Nm v RT M v v BB A A == = = × = 88 8 8 8 314 3 00 178 ππ π .. Jmo lK K 2.016 10 kg mol ms 3 bg ej (a) The mean free path is A A × 1 2 1 20 2 0 01 0 563 10 2 9 2 18 dn V . . m 1m m 3 The mean free time is A v = × = × 3 17 10 1 00 10 18 16 9 . m 178 m s s y r . (b) Now n V is 10 6 times larger, to make A smaller by 10 6 times: A 12 . m . Thus, A v = × 3 17 10 1 00 10 10 3 y r . P21.47 From Equation 21.30, A = 1 2 2 V For an ideal gas, n N V P V B
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