For a dilute gas of N monatomic particles with mass m and total energy E, use the Sackur- Tetrode equation for the entropy S V 5 = log + NkB NX3 2 th to derive expressions for the pressure and internal energy in terms of the temperature T and volume V. [You may use that X2 = 3πh² N/(mE).] th

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For a dilute gas of N monatomic particles with mass m and total energy E, use the Sackur-
Tetrode equation for the entropy
S
V
5
= log
+
NkB
NX3
2
th
to derive expressions for the pressure and internal energy in terms of the temperature T and
volume V.
[You may use that X2 = 3πh² N/(mE).]
th
Transcribed Image Text:For a dilute gas of N monatomic particles with mass m and total energy E, use the Sackur- Tetrode equation for the entropy S V 5 = log + NkB NX3 2 th to derive expressions for the pressure and internal energy in terms of the temperature T and volume V. [You may use that X2 = 3πh² N/(mE).] th
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