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In below you computed the entropy of an ideal monatomic
Chapter 3, Problem 39P(choose chapter or problem)
In Problem 2.32 you computed the entropy of an ideal monatomic gas that lives in a two-dimensional universe. Take partial derivatives with respect to \(U\), \(A\), and \(N\) to determine the temperature, pressure, and chemical potential of this gas. (In two dimensions, pressure is defined as force per unit length.) Simplify your results as much as possible, and explain whether they make sense.
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QUESTION:
In Problem 2.32 you computed the entropy of an ideal monatomic gas that lives in a two-dimensional universe. Take partial derivatives with respect to \(U\), \(A\), and \(N\) to determine the temperature, pressure, and chemical potential of this gas. (In two dimensions, pressure is defined as force per unit length.) Simplify your results as much as possible, and explain whether they make sense.
ANSWER:Step 1 of 6
The expression for the multiplicity of two dimensional ideal gas is,
\(\Omega=\frac{1}{N !} \frac{A^{N}}{h^{2 N}} \frac{\pi^{N}}{N !}(\sqrt{2 m U})^{2 N}\)
The entropy of a gas can be expressed as,
\(S=k \ln \Omega\)
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Review this written solution for 21998) viewed: 336 isbn: 9780201380279 | An Introduction To Thermal Physics - 1 Edition - Chapter 3 - Problem 39p
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