hw4 - 4 The Particle Nature of Matter 4-1 F corresponds to...

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4 The Particle Nature of Matter 4-1 F corresponds to the charge passed to deposit one mole of monovalent element at a cathode. As one mole contains Avogadro’s number of atoms, e 96 500 C 6.02 10 23 1.60 10 19 C . 4-2 (a) Total charge passed i * t 1.00 A 3 600 s 3 600 C . This is 3 600 C 1.60 10 19 C 2.25 10 22 electrons. As the valence of the copper ion is two, two electrons are required to deposit each ion as a neutral atom on the cathode. The number of Cu atoms number of electrons 2 1.125 10 22 Cu atoms. (b) So the weight (mass) of a Cu atom is: 1.185 g 1.125 10 22 atoms 1.05 10 22 g . (c) m q molar weight 96 500 2  or molar weight m 96 500 2 q 1.185 g 96 500 C 2 3 600 C 63.53 g . 4-3 Thomson’s device will work for positive and negative particles, so we may apply q m V B 2 ld . (a) q m V B 2 ld 2 000 V 0.20 radians 4.57 10 2 T 2 0.10 m 0.02 m 9.58 10 7 Ck g (b) As the particle is attracted by the negative plate, it carries a positive charge and is a proton. q m p 1.60 10 19 C 1.67 10 27 kg 9.58 10 7 g (c) v x E B V d B 2 000 V 0.02 m 4.57 10 2 T 2.19 10 6 ms
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(d) As v x ~0 .01 c there is no need for relativistic mechanics. 4-6 The velocity of fall v y t 0.004 m 15.9 s 2.52 10 4 ms . (a) The radius, a , is given by a 9 v 2 g 12 91 .81 10 5 kg m s 2.52 10 4 2 800 kg m 3  9.81 m s 2 1.62 10 6 m . The mass, m , is given by m V 4 3 a 3 1.33 800 kg m 3 1.62 10 6 m 3 1.42 10 14 kg .
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hw4 - 4 The Particle Nature of Matter 4-1 F corresponds to...

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