Difficulty: Medium
Correct Answer: Decreases
Explanation:
Introduction / Context:
Relative volatility α measures the ease of separating two components by distillation. Higher α indicates a larger volatility difference and easier separation. Pressure affects vapor–liquid equilibrium (VLE), which in turn influences α.
Given Data / Assumptions:
Concept / Approach:
As pressure increases, vapor-phase non-ideality and saturation pressures shift such that K-values (y/x ratios) of components tend to converge. This convergence usually lowers relative volatility (α = K_A / K_B), making separation more difficult. Hence low-pressure operation often improves α and reduces stages.
Step-by-Step Solution:
Define α = (y_A/x_A) / (y_B/x_B) = K_A / K_B.Note that with increasing pressure, K-values often move closer to 1 and to each other.Therefore, α generally decreases as pressure rises.Select 'Decreases' as the most representative trend.
Verification / Alternative check:
VLE charts and process simulators commonly show increased column difficulty (more stages/higher reflux) at higher pressures for many hydrocarbon pairs, consistent with reduced α.
Why Other Options Are Wrong:
'Increases' is uncommon except for special systems; 'remains the same' ignores VLE pressure sensitivity; 'either/or' is too vague for the general rule-of-thumb expected in fundamentals.
Common Pitfalls:
Final Answer:
Decreases
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