Statistical Physics This is the chemical potential of an ideal gas. The second image is the answer to 4.20 problem. Please generate a solution for this problem (to validate the given answer). Than

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Statistical Physics This is the chemical potential of an ideal gas. The second image is the answer to 4.20 problem. Please generate a solution for this problem (to validate the given answer). Thank you!
3 mkT
μ(T, V, N) = -kT| In
) = −KT [¹ + 21 22 ²
N In
Transcribed Image Text:3 mkT μ(T, V, N) = -kT| In ) = −KT [¹ + 21 22 ² N In
Problem 4.20. The chemical potential of an ideal gas
Use (4.61) and (4.63) to derive the dependence of the chemical potential on E, V, and N for
an ideal classical gas. Then use (4.65) to determine (T, V, N). We will derive (T, V, N) for the
ideal classical gas more simply in Section 6.6.
☐
as
=-(35) EV (4.61)
ON/E,V
V 3
S(E, V, N): = Nk| In + In
E = NKT.
mE
N23Nπh²
(4.65)
5
+
(4.63)
Transcribed Image Text:Problem 4.20. The chemical potential of an ideal gas Use (4.61) and (4.63) to derive the dependence of the chemical potential on E, V, and N for an ideal classical gas. Then use (4.65) to determine (T, V, N). We will derive (T, V, N) for the ideal classical gas more simply in Section 6.6. ☐ as =-(35) EV (4.61) ON/E,V V 3 S(E, V, N): = Nk| In + In E = NKT. mE N23Nπh² (4.65) 5 + (4.63)
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