8. Calcium carbonate (CaC03) has two polymorphs, calcite and aragonite. The volume change for the calcite to aragonite transition is –2.784 cm³ /mol and is assumed to be independent of temperature and pressure. The chemical potential change for the calcite to aragonite transition as a function of temperature at 1 bar is given by Aµ = -210 + 4.2T (J/mol) (a) What is the molar heat of transition? (b) What is the molar entropy change for the transition? (c) Determine the stable phase at room temperature 298 K under 1 bar. (d) Calculate the temperature at which calcite and aragonite are at equilibrium under 1 bar. (e) Determine whether an increase in pressure at a fixed temperature will increase or decrease the thermodynamic stability of aragonite with respect to calcite.

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
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18. Calcium carbonate (CaCO3) has two polymorphs, calcite and aragonite. The volume change
for the calcite to aragonite transition is -2.784 cm³ /mol and is assumed to be independent of
temperature and pressure. The chemical potential change for the calcite to aragonite transition
as a function of temperature at 1 bar is given by
Aµ = -210 + 4.2T (J/mol)
(a) What is the molar heat of transition?
(b) What is the molar entropy change for the transition?
(c) Determine the stable phase at room temperature 298 K under 1 bar.
(d) Calculate the temperature at which calcite and aragonite are at equilibrium under 1 bar.
(e) Determine whether an increase in pressure at a fixed temperature will increase or decrease
the thermodynamic stability of aragonite with respect to calcite.
Transcribed Image Text:18. Calcium carbonate (CaCO3) has two polymorphs, calcite and aragonite. The volume change for the calcite to aragonite transition is -2.784 cm³ /mol and is assumed to be independent of temperature and pressure. The chemical potential change for the calcite to aragonite transition as a function of temperature at 1 bar is given by Aµ = -210 + 4.2T (J/mol) (a) What is the molar heat of transition? (b) What is the molar entropy change for the transition? (c) Determine the stable phase at room temperature 298 K under 1 bar. (d) Calculate the temperature at which calcite and aragonite are at equilibrium under 1 bar. (e) Determine whether an increase in pressure at a fixed temperature will increase or decrease the thermodynamic stability of aragonite with respect to calcite.
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