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- https://chem.libretexts.org/Courses/Lebanon_Valley_College/CHM_312%3A_Physical_Chemistry_II_(Lebanon_Valley_College)/05%3A_Single_Component_Phase_Equilibrium/5.06%3A_Gibbs_Phase_RuleIn chapter 1, we have already seen that the number of independent variables required to describe an ideal gas is two. This number was derived by counting the total number of variables (3:P,V¯,T), and ...In chapter 1, we have already seen that the number of independent variables required to describe an ideal gas is two. This number was derived by counting the total number of variables (3:P,V¯,T), and reduce it by one because the ideal gas law constrains the value of one of them, once the other two are fixed.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/The_Live_Textbook_of_Physical_Chemistry_(Peverati)/12%3A_Phase_Equilibrium/12.02%3A_Gibbs_Phase_RuleIn chapter 1, we have already seen that the number of independent variables required to describe an ideal gas is two. This number was derived by counting the total number of variables (3:P,V¯,T), and ...In chapter 1, we have already seen that the number of independent variables required to describe an ideal gas is two. This number was derived by counting the total number of variables (3:P,V¯,T), and reduce it by one because the ideal gas law constrains the value of one of them, once the other two are fixed.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Physical_Chemistry_(Fleming)/08%3A_Phase_Equilibrium/8.03%3A_Criterion_for_Phase_EquilibriumThe thermodynamic criterion for phase equilibrium is based on the chemical potentials of components in a system. A single-component system reaches equilibrium when the chemical potential is the same a...The thermodynamic criterion for phase equilibrium is based on the chemical potentials of components in a system. A single-component system reaches equilibrium when the chemical potential is the same across phases, preventing mass migration. The Gibbs phase rule describes the system's degrees of freedom, balancing compositional and phase variables. For a single component, the maximum phases at equilibrium is three, defining a "triple point.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Free_Energy_1e_(Snee)/08%3A_Phase_Changes/8.01%3A_The_Gibbs_Phase_RuleThis can be demonstrated by calculating the number of degrees of freedom of the phase diagram; note this is not the same “degrees of freedom” of a gas molecule that was discussed in Chapter 2. If we a...This can be demonstrated by calculating the number of degrees of freedom of the phase diagram; note this is not the same “degrees of freedom” of a gas molecule that was discussed in Chapter 2. If we are characterizing a single phase of one component in a phase diagram, then the number of degrees of freedom is: f=2+c−p=2+1−1=2, which are pressure and temperature.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Physical_Chemistry_(Fleming)/08%3A_Phase_Equilibrium/8.06%3A_Phase_Diagrams_for_Binary_MixturesAs suggested by the Gibbs Phase Rule, the most important variables describing a mixture are pressure, temperature and composition. In the case of single component systems, composition is not important...As suggested by the Gibbs Phase Rule, the most important variables describing a mixture are pressure, temperature and composition. In the case of single component systems, composition is not important so only pressure and temperature are typically depicted on a phase diagram. However, for mixtures with two components, the composition is of vital important, so there is generally a choice that must be made as to whether the other variable to be depicted is temperature or pressure.
