4. Determine expressions for the critical point using the van der Waals equation of state. a. the critical point will occur at the point of inflection in the P-V isotherm, which can be found as a zero in both the first and second derivative of P with respect to V (holding T constant). (Hint, you'll have two equations and two unknowns - T and V at the critical point; assume one mole). b. Use the Vc and Tc you just found and substitute back into the equation of state to solve for the critical pressure (Pc). c. The van der Waals parameters for CO₂ are a=3.59 L2 atm/mol² and b=0.0427L/mol. Calculate the critical pressure and temperature for CO₂.
4. Determine expressions for the critical point using the van der Waals equation of state. a. the critical point will occur at the point of inflection in the P-V isotherm, which can be found as a zero in both the first and second derivative of P with respect to V (holding T constant). (Hint, you'll have two equations and two unknowns - T and V at the critical point; assume one mole). b. Use the Vc and Tc you just found and substitute back into the equation of state to solve for the critical pressure (Pc). c. The van der Waals parameters for CO₂ are a=3.59 L2 atm/mol² and b=0.0427L/mol. Calculate the critical pressure and temperature for CO₂.
Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter4: Gibbs Energy And Chemical Potential
Section: Chapter Questions
Problem 4.54E
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![4. Determine expressions for the critical point using the van der Waals equation of state.
a. the critical point will occur at the point of inflection in the P-V isotherm, which can be found as a zero
in both the first and second derivative of P with respect to V (holding T constant). (Hint, you'll have two
equations and two unknowns-T and V at the critical point; assume one mole).
b. Use the Vc and Tc you just found and substitute back into the equation of state to solve for the critical
pressure (Pc).
on (use a computer
one.
c. The van der Waals parameters for CO₂ are a=3.59 L² atm/mol² and b=0.0427L/mol. Calculate the
critical pressure and temperature for CO2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc297b31e-0a8f-4ccd-8e08-7779ed8f9d82%2Fbffb2633-acc9-48e0-bd86-ca83e88f81ae%2Femi69am_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Determine expressions for the critical point using the van der Waals equation of state.
a. the critical point will occur at the point of inflection in the P-V isotherm, which can be found as a zero
in both the first and second derivative of P with respect to V (holding T constant). (Hint, you'll have two
equations and two unknowns-T and V at the critical point; assume one mole).
b. Use the Vc and Tc you just found and substitute back into the equation of state to solve for the critical
pressure (Pc).
on (use a computer
one.
c. The van der Waals parameters for CO₂ are a=3.59 L² atm/mol² and b=0.0427L/mol. Calculate the
critical pressure and temperature for CO2.
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