pV = constant alc
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![(a) Derive the following general relations
T
(i) (31),
T
U
(ii)
=
av
S
T
(iii)
=
др
др
-r().-]
др
-&T (ST),
Cv
Ꮴ
()()()]
Ср
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) = 0 and (T/ǝp) = 0, and
that (T/V)s leads to the familiar relation
pV? = constant along an isentrope (a curve
of constant entropy).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F613fe210-8890-4f5f-abe5-0cad6919891a%2F267feee2-05d9-4a74-8c41-53deea887f35%2Fd0u0vlql_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Derive the following general relations
T
(i) (31),
T
U
(ii)
=
av
S
T
(iii)
=
др
др
-r().-]
др
-&T (ST),
Cv
Ꮴ
()()()]
Ср
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) = 0 and (T/ǝp) = 0, and
that (T/V)s leads to the familiar relation
pV? = constant along an isentrope (a curve
of constant entropy).
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