(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, Volume 1, Chapters 1-22

8th Edition

ISBN: 9781439048382

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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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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Chapter 21 Solutions

Physics for Scientists and Engineers, Volume 1, Chapters 1-22

Ch. 21 - Two containers hold an ideal gas at the same...Ch. 21 - (i) How does the internal energy of an ideal gas...Ch. 21 - Prob. 21.3QQ Ch. 21 - Prob. 21.4QQ Ch. 21 - Cylinder A contains oxygen (O2) gas, and cylinder...Ch. 21 - An ideal gas is maintained at constant pressure....Ch. 21 - Prob. 21.3OQ Ch. 21 - A helium-filled latex balloon initially at room...Ch. 21 - Prob. 21.5OQ Ch. 21 - Prob. 21.6OQ

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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