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Gibbs Phase Rule 2. Molten Carbonate Lake. A gigantic lake of molten calcium carbonate (CaCO3 ()) has recently been discovered underneath western North America (ref: Earth and Planetary Science Letters, vol. 463, 1 April 2017, p. 25-35). This lake is in equilibrium with the surrounding rock (quicklime, CaOcs) along with a high- pressure (supercritical) phase containing carbon dioxide (CO2 (sc)). a. How many thermodynamic degrees of freedom are available to this closed underground reservoir, assuming the system is at reactive equilibrium? b. Hypothetically, a scientist claims to have discovered that the surrounding rock also contains calcite (CaCO3 (s) in equilibrium with the reservoir described above. Can this be possible? Explain. c. Hypothetically, a scientist claims to have discovered that the surrounding rock contains calcite (CaCO3 (9) and that the pressure of carbon dioxide in the headspace above the lake is occasionally fluctuating as a function of natural temperature shifts in the Earth. Can this be possible? Explain.

Gibbs Phase Rule 2. Molten Carbonate Lake. A gigantic lake of molten calcium carbonate (CaCO3 ()) has recently been discovered underneath western North America (ref: Earth and Planetary Science Letters, vol. 463, 1 April 2017, p. 25-35). This lake is in equilibrium with the surrounding rock (quicklime, CaOcs) along with a high- pressure (supercritical) phase containing carbon dioxide (CO2 (sc)). a. How many thermodynamic degrees of freedom are available to this closed underground reservoir, assuming the system is at reactive equilibrium? b. Hypothetically, a scientist claims to have discovered that the surrounding rock also contains calcite (CaCO3 (s) in equilibrium with the reservoir described above. Can this be possible? Explain. c. Hypothetically, a scientist claims to have discovered that the surrounding rock contains calcite (CaCO3 (9) and that the pressure of carbon dioxide in the headspace above the lake is occasionally fluctuating as a function of natural temperature shifts in the Earth. Can this be possible? Explain.

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
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I believe the equation to use for part (a) is DOF= components-phases+2

Please answer this Gibbs Phase Rule question for physical chemistry

Gibbs Phase Rule 2. Molten Carbonate Lake. A gigantic lake of molten calcium carbonate (CaCO3 ()) has recently been discovered underneath western North America (ref: Earth and Planetary Science Letters, vol. 463, 1 April 2017, p. 25-35). This lake is in equilibrium with the surrounding rock (quicklime, CaOcs) along with a high- pressure (supercritical) phase containing carbon dioxide (CO2 (sc)). a. How many thermodynamic degrees of freedom are available to this closed underground reservoir, assuming the system is at reactive equilibrium? b. Hypothetically, a scientist claims to have discovered that the surrounding rock also contains calcite (CaCO3 (s) in equilibrium with the reservoir described above. Can this be possible? Explain. c. Hypothetically, a scientist claims to have discovered that the surrounding rock contains calcite (CaCO3 (9) and that the pressure of carbon dioxide in the headspace above the lake is occasionally fluctuating as a function of natural temperature shifts in the Earth. Can this be possible? Explain.
Transcribed Image Text:Gibbs Phase Rule 2. Molten Carbonate Lake. A gigantic lake of molten calcium carbonate (CaCO3 ()) has recently been discovered underneath western North America (ref: Earth and Planetary Science Letters, vol. 463, 1 April 2017, p. 25-35). This lake is in equilibrium with the surrounding rock (quicklime, CaOcs) along with a high- pressure (supercritical) phase containing carbon dioxide (CO2 (sc)). a. How many thermodynamic degrees of freedom are available to this closed underground reservoir, assuming the system is at reactive equilibrium? b. Hypothetically, a scientist claims to have discovered that the surrounding rock also contains calcite (CaCO3 (s) in equilibrium with the reservoir described above. Can this be possible? Explain. c. Hypothetically, a scientist claims to have discovered that the surrounding rock contains calcite (CaCO3 (9) and that the pressure of carbon dioxide in the headspace above the lake is occasionally fluctuating as a function of natural temperature shifts in the Earth. Can this be possible? Explain.
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