tarting from u = (U – TS+ pV)/n, show that, for an ideal gas, R/cv S – nR° (S – nso exp nvo µ(S, V, n) = uo = U0 V - nCy
tarting from u = (U – TS+ pV)/n, show that, for an ideal gas, R/cv S – nR° (S – nso exp nvo µ(S, V, n) = uo = U0 V - nCy
Biochemistry
9th Edition
ISBN:9781319114671
Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Publisher:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Chapter1: Biochemistry: An Evolving Science
Section: Chapter Questions
Problem 1P
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![(b) Starting from µ = (U – TS+pV)/n, show that, for an ideal gas,
%3D
R/cv
S – nR]
1
S – nso
exp
nvo
H(S, V, n) = uo ()
ncv
ncv
where uo = U/n, so = S/n, vo = Vo/n, and c, =
(c) The chemical potential of an ideal gas u = µ(S, V, n) may be derived directly from
the partial derivative (aU/ðn)s,v of the energy of an ideal gas U (S, V, n) in which the
Cy/n.
system mole number enters as an explicit variable. To do so, one must first rewrite
U(S, V) as found in item (a) in terms of specific quantities cv, uo, so, and vo that are
independent of the variables S, V, and n. Then, show that u = (ĐU/Ən)s,v reproduces
the result u = G/n found in item (b).
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd00408bc-e467-45a4-8690-13eaf5838a3f%2F998f3dff-e2f5-4aa4-b5ad-1687cfad8899%2Ffba9elh_processed.png&w=3840&q=75)
Transcribed Image Text:(b) Starting from µ = (U – TS+pV)/n, show that, for an ideal gas,
%3D
R/cv
S – nR]
1
S – nso
exp
nvo
H(S, V, n) = uo ()
ncv
ncv
where uo = U/n, so = S/n, vo = Vo/n, and c, =
(c) The chemical potential of an ideal gas u = µ(S, V, n) may be derived directly from
the partial derivative (aU/ðn)s,v of the energy of an ideal gas U (S, V, n) in which the
Cy/n.
system mole number enters as an explicit variable. To do so, one must first rewrite
U(S, V) as found in item (a) in terms of specific quantities cv, uo, so, and vo that are
independent of the variables S, V, and n. Then, show that u = (ĐU/Ən)s,v reproduces
the result u = G/n found in item (b).
%3D
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