PHY 3513
Quiz 4
October, 2024. .
Name ..........................................
Signature .........................................
On my honor I have neither received nor given unauthorized aid on this examination
Show all steps of each calculation.
...................................................................................................................................
1.
The Gibbs free energy F obeys
dG = −SdT + V dp
where S is the entropy, T the absolute temperature, V the volume, and P the pressure.
(i) Complete the following equations (2 points)
∂G
∂T
!
∂G
∂p
!
.
= .......
V
= .......
T
(ii) Which of the following Maxwell relations [(a) or (b)] can be deduced from the result
for (i) (2 points) (a)
!
!
∂S
∂p
=
∂V T
∂T V
(b)
∂S
∂p
!
∂V
=−
∂T
T
!
.
p
(iii) (2 points) For one mole of an ideal gas show that
∂S
∂p
!
=−
T
RT
p
.
(iv) Use the result of part (iii) above to calculate the change in entropy of one mole of
gas that is expanded at constant temperature from p1 to p2 . (4 points)