P1C.12 The critical constants of a van der Waals gas can be found by setting the following derivatives equal to zero at the critical point: dp RT 2a "AP. (Vm-b)² " v 2RT m d°p dV (V-b) v 6a = 0 m m m Solve this system of equations and then use eqn 1C.5b to show that p, V, and T, are given by eqn 1C.6.
P1C.12 The critical constants of a van der Waals gas can be found by setting the following derivatives equal to zero at the critical point: dp RT 2a "AP. (Vm-b)² " v 2RT m d°p dV (V-b) v 6a = 0 m m m Solve this system of equations and then use eqn 1C.5b to show that p, V, and T, are given by eqn 1C.6.
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Chapter1: Chemical Foundations
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![P1C.12 The critical constants of a van der Waals gas can be found by setting
the following derivatives equal to zero at the critical point:
dp
RT
2a
"AP.
(Vm-b)² " v
2RT
m
d°p
dV (V-b) v
6a
= 0
m
m
m
Solve this system of equations and then use eqn 1C.5b to show that p, V, and
T, are given by eqn 1C.6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b2ca364-0d9d-4989-8982-1750f5cbff49%2F03af7fb0-10a7-4f3a-ab6b-efe6f93d89c7%2Fp0isn8g.png&w=3840&q=75)
Transcribed Image Text:P1C.12 The critical constants of a van der Waals gas can be found by setting
the following derivatives equal to zero at the critical point:
dp
RT
2a
"AP.
(Vm-b)² " v
2RT
m
d°p
dV (V-b) v
6a
= 0
m
m
m
Solve this system of equations and then use eqn 1C.5b to show that p, V, and
T, are given by eqn 1C.6.
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