Rayleigh Batch Distillation Calculator
Calculate remaining liquid and average distillate composition for an ideal binary batch with constant relative volatility.
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Result
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Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Use the analytic Rayleigh integral for constant relative volatility and close the total/component mole balances.
ln(F/W)=∫xW^xF dx/(y−x); y=αx/(1+(α−1)x)
Worked example
For α=2, xF=0.5 and xW=0.1, the remaining fraction is 5/81≈0.0617283951 and the average distillate fraction is 10/19≈0.526315789.
Assumptions and input details
Final liquid fraction must be below initial; ideal binary equilibrium, constant α and differential removal of equilibrium vapor. No reflux, entrainment, energy, stage holdup or actual distillation instructions.
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
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