problem18_83

University Physics with Modern Physics with Mastering Physics (11th Edition)

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18.83: a) See Problem 18.80. Because dv v f ) ( is the probability that a particle has a speed between dv v f dv v v ) ( , and + is the fraction of the particles that have speed in that range. The number of particles with speeds between dv v v + and is therefore dv v Nf dN ) ( = and . ) ( dv v f N N v v v + = b) , 2 mp m kT v = and . 4 2 2 4 ) ( mp 1 mp 2 3 v π e e m kT πkT m π v f = = - For oxygen gas at , 0421 . 0 ) ( and s, m 10 95 . 3 K, 300 2 mp = × = v v f v keeping an extra figure. c) Increasing v by a factor of 7 changes . 10 94 . 2 ) ( and , 7 of factor a by 21 48 2 - - × = v v f e f d) Multiplying the temperature by a factor of 2 increases the most probable speed by a factor of
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  • Fractions, Fraction, probable speed

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