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).
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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