The integral equation ln(F/W) = ∫xF xW [dx/y* – x)] describes_____________________?
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Answer: A. Differential distillation equation
Explanation
The integral logarithmic equation is the classic Rayleigh equation used for simple batch or differential distillation. It relates initial and final flask charges to composition changes over the course of batch distillation. Integrating this expression yields the total amount of distillate recovered during unsteady state operation. Differential distillation involves boiling a liquid batch in a still and continuously removing vapor. Composition in the still changes continuously over time unlike continuous steady state fractionation. The Rayleigh equation forms the mathematical foundation for batch distillation column analysis.
Fine chemical and pharmaceutical industries frequently use batch distillation for small scale solvent recovery. Batch processing requires accurate Rayleigh integration to predict recovery times and product purities. Distilling high value specialty chemicals often relies on batch setups modeled by this differential equation. Number of transfer units in dilute absorption uses different logarithmic concentration difference integrals. McCabe-Thiele q-line slope determines feed condition lines rather than batch distillation recovery ratios. Relative volatility is a property ratio rather than an unsteady state batch distillation integral equation.
- Subject
- Engineering
- Category
- Chemical Engineering
- Topic
- —
- Difficulty
- medium
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