Chemical potential is an intensive property driving chemical systems to equilibrium, equating to partial molar properties. What is the ratio of a pure substance's chemical potential to its free energy at constant temperature and pressure________________?
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Answer: B. 1
Explanation
For any pure single-component substance, chemical potential equals molar Gibbs free energy. Dividing this chemical potential by the identical free energy yields a ratio of 1. Constant temperature and pressure conditions ensure valid thermodynamic state comparisons. Molar Gibbs free energy represents the total free energy divided by total moles. Pure substances contain only one chemical species, simplifying thermodynamic property equations. Intensive properties like chemical potential do not depend on system size.
Thermodynamic calculations often simplify phase change equations using pure component properties. Engineers analyze pure fluid behavior before tackling complex multi-component chemical mixtures. Fundamental property relationships form the basis of advanced chemical engineering design. Option A suggests a zero value, which contradicts fundamental single-component thermodynamics. Option C implies an infinite ratio, which contradicts basic thermodynamic property definitions. Option D is incorrect because the correct mathematical ratio equals exactly one.
- Subject
- Engineering
- Category
- Chemical Engineering
- Topic
- —
- Difficulty
- medium
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