(a) Explanation The average energy of each atom is 1 2 k B T . In a pure metallic element, one atom is equal to the one molecule. Write the expression of the total energy of the metallic element. E = 1 2 m v x 2 + 1 2 m v y 2 + 1 2 m v z 2 + 1 2 k x x 2 + 1 2 k y y 2 + 1 2 k z z 2 (1) Here, m is the mass of the molecule. v x is the velocity component in x direction. v y is the velocity component in y direction. v z is the velocity component in z direction. k x is the spring constant in x direction. k y is the spring constant in y direction. k z is the spring constant in z direction. For each degree of freedom, the average energy is 1 2 k B T . Substitute 1 2 k B T for 1 2 m v x 2 , 1 2 k B T for 1 2 m v y 2 , 1 2 k B T for 1 2 m v z 2 , 1 2 k B T for 1 2 k x x 2 , 1 2 k B T for 1 2 k y y 2 and 1 2 k B T for 1 2 k z z 2 in equation (1) (b) To determine The specific heat c of iron and compare the value listed in Table 19.1 . (c) To determine The specific heat c of gold and compare the value listed in Table 19.1 .

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN: 9781305116399

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Maxwell speed distribution

Maxwell-Boltzmann distribution or commonly known as Maxwell speed distribution, explains the division of the energy levels of the molecules of an ideal gas on the basis of the statistical theory. In 1859, Scottish physicist James Clerk Maxwell establishe…

Question

Chapter 21, Problem 21.50AP

(a)

To determine

To show: The molar specific heat of the solid is 3R.

(b)

To determine

The specific heat c of iron and compare the value listed in Table 19.1.

(c)

To determine

The specific heat c of gold and compare the value listed in Table 19.1.

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Chapter 21, Problem 21.49AP

Chapter 21, Problem 21.51AP

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The molar specific heat of the solid is 3 R .

Solution Summary: The author explains how the molar specific heat of the solid is 3R.

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To show: The molar specific heat of the solid is 3R.

The specific heat c of iron and compare the value listed in Table 19.1.

The specific heat c of gold and compare the value listed in Table 19.1.

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Chapter 21 Solutions