Differential distillation calculator

✨ Differential (Rayleigh) Distillation ✨

👨‍🎓 Author: ORTIZ RIOS RICARDO 📅 Date: September 10, 2026

🔬 Process Explanation & Equipment

This application solves the differential (batch) distillation of a Benzene-Toluene mixture at 101.32 kPa (1 atm). In this process, a liquid mixture is boiled in a closed still. As boiling proceeds, the generated vapor is continuously removed and condensed into a receiver.

Integral Mass Balance (Rayleigh Equation):
$$ \ln\left(\frac{L_1}{L_2}\right) = \int_{x_W}^{x_F} \frac{dx}{y - x} $$

This equation calculates the area under the curve of \( 1/(y-x) \) vs \( x \) to relate the total moles evaporated to the changing liquid composition.

📊 Data Input

📌 How to Use:

1. Select Mode: Choose whether to calculate the final Residue (\(x_W\)) or the required Vapor amount (\(V\)).
2. Input Feed Data: Enter your initial mixture composition (\(x_F\)) and total moles (\(L_1\)).
3. Set Target: Provide the known Vapor (\(V\)) or Target Residue (\(x_W\)) based on your mode.
4. Calculate: Click the button below to run the numerical integration.

Select Calculation Mode: Mode 1: Known Vapor (V) ➔ Calculate Residue (x_W) Mode 2: Known Residue (x_W) ➔ Calculate Vapor (V)

Feed Composition (\(x_F\)):

Initial Feed Amount (\(L_1\), moles):

Amount Vaporized (\(V\), moles):

Target Residue Composition (\(x_W\)):

✅ Final Results

Amount Vaporized (\(V\)):

Remaining Liquid (\(L_2\)):

Integral Value \(\ln(L_1/L_2)\):

Residue (\(x_W\)):

Average Distillate (\(y_{avg}\)):