4. The equation of state for a van der Waal's gas is: RT Vm-b p= a V² m 2 where Vm is the molar volume, V/n. Starting with an expression for U(S,Vm), derive an expression for the internal pressure, îò, and calculate its change when a van der Waal's gas with a = 4.14 atm L²mol-² and b = 5.15 x 10-2 Lmol-¹ is cooled from 200°C to 10°C.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter2: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 2.89E
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4. The equation of state for a van der Waal's gas is:
RT
V-by², where Vm is the molar volume, V/n.
p=
m
a
m
Starting with an expression for U(S,Vm), derive an expression for the internal
pressure, TT, and calculate its change when a van der Waal's gas with a = 4.14 atm
L²mol-2 and b = 5.15 x 10-2 Lmol-¹ is cooled from 200°C to 10°C.
Transcribed Image Text:4. The equation of state for a van der Waal's gas is: RT V-by², where Vm is the molar volume, V/n. p= m a m Starting with an expression for U(S,Vm), derive an expression for the internal pressure, TT, and calculate its change when a van der Waal's gas with a = 4.14 atm L²mol-2 and b = 5.15 x 10-2 Lmol-¹ is cooled from 200°C to 10°C.
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