In phase equilibria for vapours and liquids: A vapour whose actual partial pressure is less than its equilibrium vapour pressure at the same temperature is best described as which type of vapour?
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ASaturated
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BSuperheated
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CUnsaturated
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DDry gaseous
Answer
Correct Answer: Unsaturated
Explanation
Introduction / Context:Engineers often classify vapours by comparing their actual partial pressure to the equilibrium vapour pressure at a given temperature. This determines whether condensation can occur and influences mass and heat transfer processes in unit operations such as distillation, drying, and humidification.
Given Data / Assumptions:
- Temperature is fixed.
- The vapour coexists with or is conceptually comparable to a flat liquid surface of the same substance.
- Equilibrium vapour pressure is the saturation pressure at that temperature.
Concept / Approach:Definitions: If the actual vapour partial pressure p is less than the saturation pressure psat(T), the vapour is unsaturated and can accept more vapour without condensation. If p = psat, it is saturated. “Superheated” refers to a pure vapour or gas at a temperature above its saturation temperature at the same pressure, which is related but not identical to the partial-pressure definition for mixtures.
Step-by-Step Solution:
Step 1: Compare p (actual partial pressure) with psat(T).Step 2: If p < psat(T), the vapour is not at equilibrium with its liquid and can absorb more molecules.Step 3: Therefore the correct term is “unsaturated.”Verification / Alternative check:Psychrometric charts show that points below the 100% relative humidity line (p/psat < 1) are unsaturated states—consistent with industrial humidity practice.
Why Other Options Are Wrong:
- Saturated: Requires p = psat(T), not less.
- Superheated: Relates to temperature above saturation at a given total pressure; not the same as p < psat for a component in a mixture.
- Dry gaseous: Non-standard term in this context and does not denote the p versus psat relationship.
Common Pitfalls:Confusing superheat with unsaturation; they describe different departures from saturation—temperature-based versus partial-pressure-based. Also, mixing up total pressure and component partial pressure in mixtures.
Final Answer:Unsaturated