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.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Concept explainers

Kinetic-Theory of Gases

Kinetic theory of gases is the model or method which was developed in the 19th century by Maxwell and Boltzmann. This is possible as the interatomic force which is of short-range forces that are important for solids and liquids can be neglected for gases. This theory or gas law gives a molecular interpretation of the pressure and temperature of a gas and is consistent with gas laws and Avogadro’s hypothesis. This theory is very helpful to correctly explain the specific heat capacities of many gases, kinetic energy and it also explains the transport qualities such as viscosity, thermal conductivity, and diffusion with molecular parameters. As stated in the kinetic-molecular theory, the temperature of a substance or gas particle is related to the average kinetic energy of the particles of that substance. When a substance is heated, some of the absorbed energy is stored within the particles, while some of the energy increases the motion of the particles, called average kinetic energy.

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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.

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