3. The number of vacancies N,in a crystal can be calculated using the Arrhenius equation:Ny= Ne EvIkTwhere Nis total number of atoms, Evis the activation energy for vacancy formation, and kis the Boltzmann's constant and Tis the temperature.Boltzmann constant k = 8.62 x 10S ev/K%3Da) What are the units of T?b) What are the units for E?c) Under what conditions can a crystal have no vacancies?d) Calculate the fraction of atom sites that are vacant for lead and thence the percentageof vacancies for lead at its melting temperature of 327°C ( 600K). Assume an energyfor vacancy formation of 0.55 eV/atom

Usually units are placed in SI system but when you have to evaluate the answer in a particular unit…

3. The number of vacancies Nin a crystal can be calculated using the Arrhenius equation: Ev /kT Ny= Ne where Nis total number of atoms, Ev is the activation energy for vacancy formation, and k is the Boltzmann's constant and Tis the temperature. Boltzmann constant k = 8.62 x 105 ev/K a) What are the units of T b) What are the units for E2 c) Under what conditions can a crystal have no vacancies?

3. The number of vacancies Nin a crystal can be calculated using the Arrhenius equation: Ev /kT Ny= Ne where Nis total number of atoms, Ev is the activation energy for vacancy formation, and k is the Boltzmann's constant and Tis the temperature. Boltzmann constant k = 8.62 x 105 ev/K a) What are the units of T b) What are the units for E2 c) Under what conditions can a crystal have no vacancies?

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

3. The number of vacancies N,in a crystal can be calculated using the Arrhenius equation:
Ny= Ne EvIkT
where Nis total number of atoms, Evis the activation energy for vacancy formation, and k
is the Boltzmann's constant and Tis the temperature.
Boltzmann constant k = 8.62 x 10S ev/K
%3D
a) What are the units of T?
b) What are the units for E?
c) Under what conditions can a crystal have no vacancies?
d) Calculate the fraction of atom sites that are vacant for lead and thence the percentage
of vacancies for lead at its melting temperature of 327°C ( 600K). Assume an energy
for vacancy formation of 0.55 eV/atom

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