(16.2) (a) Derive the following general relations (i) ()₁ = − [T(),−1], др U C'v (ii) () --() ᎥᎢ (iii) др Н = ¿[T(),-V]. Р In each case the quantity on the left-hand side is the appropriate thing to consider for a particular type of expansion. State what type of expansion each refers to. (b) Using these relations, verify that for an ideal gas (@T/V)₁ = 0 and (T/ P)H = 0, and that (T/ǝV)s leads to the familiar relation pv = constant along an isentrope (a curve of constant entropy).

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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(16.2) (a) Derive the following general relations
(i)
()₁ = − [T(),−1],
др
U
C'v
(ii) () --()
ᎥᎢ
(iii)
др Н
=
¿[T(),-V].
Р
In each case the quantity on the left-hand side is the appropriate thing
to consider for a particular type of expansion. State what type of
expansion each refers to.
(b) Using these relations, verify that for an ideal gas (@T/V)₁ = 0 and (T/
P)H = 0, and that (T/ǝV)s leads to the familiar relation pv = constant
along an isentrope (a curve of constant entropy).
Transcribed Image Text:(16.2) (a) Derive the following general relations (i) ()₁ = − [T(),−1], др U C'v (ii) () --() ᎥᎢ (iii) др Н = ¿[T(),-V]. Р In each case the quantity on the left-hand side is the appropriate thing to consider for a particular type of expansion. State what type of expansion each refers to. (b) Using these relations, verify that for an ideal gas (@T/V)₁ = 0 and (T/ P)H = 0, and that (T/ǝV)s leads to the familiar relation pv = constant along an isentrope (a curve of constant entropy).
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