(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).
(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).
Chapter2: The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 68P: Using the method of the preceding problem, estimate the fraction of nitric oxide (NO) molecules at a...
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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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F613fe210-8890-4f5f-abe5-0cad6919891a%2Fd2368b6f-8665-4255-a590-97a52f0b1b11%2Ftdd0fv_processed.png&w=3840&q=75)
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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