p39_059 - p = 2 mK = p 2(3 . 819 10 26 kg)(4 . 80 10 17 J)...

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59. (a) The kinetic energy acquired is K = qV ,where q isthechargeonanionand V is the accelerating potential. Thus K =(1 . 60 × 10 19 C)(300 V) = 4 . 80 × 10 17 J. The mass of a single sodium atom is, from Appendix F, m =(22 . 9898 g / mol) / (6 . 02 × 10 23 atom / mol) = 3 . 819 × 10 23 g= 3 . 819 × 10 26 kg. Thus, the momentum of an ion is
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Unformatted text preview: p = 2 mK = p 2(3 . 819 10 26 kg)(4 . 80 10 17 J) = 1 . 91 10 21 kg m / s . (b) The de Broglie wavelength is = h p = 6 . 63 10 34 J s 1 . 91 10 21 kg m / s = 3 . 47 10 13 m ....
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