6. (Kittel 6.12) Ideal gas in two dimensions. (a) Find the chemical potential of an ideal monatomic gas in two dimensions, with N atoms confined to a square of area A = Ľ². The spin is zero. (b) Find an expression for the energy U of the gas. (c) find an expression for the entropy . The temperature is t.

Introduction to Chemical Engineering Thermodynamics
8th Edition
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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**Problem 6. (Kittel 6.12) Ideal Gas in Two Dimensions**

(a) Find the chemical potential of an ideal monatomic gas in two dimensions, with \( N \) atoms confined to a square of area \( A = L^2 \). The spin is zero.

(b) Find an expression for the energy \( U \) of the gas.

(c) Find an expression for the entropy \( \sigma \). The temperature is \( \tau \).
Transcribed Image Text:**Problem 6. (Kittel 6.12) Ideal Gas in Two Dimensions** (a) Find the chemical potential of an ideal monatomic gas in two dimensions, with \( N \) atoms confined to a square of area \( A = L^2 \). The spin is zero. (b) Find an expression for the energy \( U \) of the gas. (c) Find an expression for the entropy \( \sigma \). The temperature is \( \tau \).
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