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An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder
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Use the Sackur-Tetrode equation to calculate the entropy

Chapter 2, Problem 33P

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QUESTION:

Problem 33P

Use the Sackur-Tetrode equation to calculate the entropy of a mole of argon gas at room temperature and atmospheric pressure. Why is the entropy greater than that of a mole of helium under the same conditions?

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QUESTION:

Problem 33P

Use the Sackur-Tetrode equation to calculate the entropy of a mole of argon gas at room temperature and atmospheric pressure. Why is the entropy greater than that of a mole of helium under the same conditions?

ANSWER:

Solution

Step 1 of 5

In the given problem, the entropy of a mole of helium at room temperature and pressure is . We need compare the entropy of monatomic argon gas with the helium. The entropy of the argon gas can be calculated using Sackur Tetrode equation.

The Sackur Tetrode equation gives the entropy of a monatomic gas molecule as,

                

                        ……….1

Where S is entory, N is avogadro number, k and h are constants, m is mass of argon atom, V is volume and U is internal energy.

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