Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 41 - Conduction of Electricity in Solids - Problems - Page 1273: 19a

Answer

$P(E) = 1.0$

Work Step by Step

Use the formula of probability $ P(E) = \frac{1}{e^{E_1 - E_F/kT} + 1}$ For Silver, $E_F=5.5eV$ $T=0^o C = 273 K$ $KT = \frac{(1.381\times 10^{-23} J) (273K)}{1.602 \times 10^{-19} J/eV}$ $KT = 0.02353eV$ For this question, given E = 4.4 eV Solve for P $e^{E_1 - E_F/kT} = \frac{(4.4 eV - 5.5eV)}{0.02353eV} = -46.25$ $ P(E) = \frac{1}{e^{-46.25} + 1}$ $P(E) = 1.0$
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