| Time | Distilled Quantity per Hr (L/h) |
Vapour Condensed in Primary Condenser (kg/h) |
% Quantity Condensed in Primary Condenser (% of vapour) |
Vapour Condensed in Secondary Condenser (kg/h) |
Vapour Loss (kg/h) |
|---|---|---|---|---|---|
| Run CALCULATE to generate the table. | |||||
| Time | Pressure Required at Initial Set Temperature (mmHg abs) |
Bubble Point (°C) |
Liquid x₁ | Liquid x₂ | Vapour y₁ | Vapour y₂ |
|---|---|---|---|---|---|---|
| Run CALCULATE to generate the binary VLE table. | ||||||
9B. Batch Utility Consumption & Cost Summary
Utility consumption is estimated from the calculated batch duties and operating conditions. Enter the applicable utility tariff and, where required, utility conversion assumptions for the batch study.
| Utility | Calculated Duty | Estimated Consumption / Batch | Tariff | Estimated Cost / Batch |
|---|---|---|---|---|
| Steam / Equivalent Steam | — | — | — | — |
| Cooling Water | — | — | — | — |
| Chilled Water | — | — | — | — |
| Total Utility Cost | — | |||
Direct steam consumption = Heating duty ÷ Steam latent heat.
For hot-water heating: Equivalent steam = Heat transferred by hot water ÷ Steam latent heat.
Heat transferred by hot water is taken from the calculated reactor heating duty for the batch.
Cooling-water consumption = Cooling duty ÷ (Water Cp × Cooling-water ΔT).
Chilled-water consumption = Chilled-water duty ÷ (Water Cp × Chilled-water ΔT).
Utility cost = Consumption × Applicable tariff.
Solvent mass evaporated (kg) = Distilled solvent volume (L) × Solvent density (kg/m³) ÷ 1000.
Utility cost per kg solvent evaporated = Total utility cost per batch ÷ Solvent mass evaporated per batch.
9C. Condenser Adequacy & Design Margin
This section compares calculated condenser duty with available design capacity. Utilization is based on required duty divided by design capacity; the remaining percentage represents available design margin.
| Parameter | Primary Condenser | Secondary Condenser |
|---|---|---|
| Required Heat Load (kcal/h) | — | — |
| Design Heat-Transfer Capacity (kcal/h) | — | — |
| Capacity Utilization (%) | — | — |
| Available Design Margin (%) | — | — |
| Thermal Adequacy | — | — |
Capacity utilization = Required heat load ÷ Design condenser capacity × 100.
Available design margin = (Design capacity − Required heat load) ÷ Design capacity × 100.
Interpretation: utilization ≤ 80% is shown as COMFORTABLE; >80% to 100% as REVIEW; >100% as INADEQUATE. These are screening indicators for the calculator and should be confirmed against the applicable project design basis.
1. Purpose of the study
This study combines reactor thermal performance, binary batch distillation vapour generation, vapour-liquid equilibrium and dual-condenser adequacy. Component selection, liquid composition, operating pressure, heating conditions and condenser utility conditions are used to estimate binary bubble point, vapour composition, heat duty, condenser split and overall recovery.
2. Binary vapour-liquid equilibrium
The binary liquid composition is entered as mole fraction or mass fraction. The calculator converts the selected basis to both mole and mass fractions and then calculates the equilibrium vapour composition.
For the default ideal model, γ₁ = γ₂ = 1 and the calculation reduces to Raoult's law. The optional NRTL mode uses the entered τ₁₂, τ₂₁ and α parameters.
3. Bubble-point temperature
At the selected absolute operating pressure, the bubble point is solved iteratively until the total equilibrium vapour pressure equals the operating pressure.
The calculated bubble-point temperature is used as the local condensation-temperature basis for the reactor and condenser heat-transfer calculations.
4. Dew-point indication
A dew-point indication is calculated from the equilibrium vapour composition using the ideal binary dew-point relation. This provides a reference temperature for the vapour phase and should be checked against a validated thermodynamic package for strongly non-ideal systems.
5. Reactor heat-transfer area, U and LMTD
The reactor wetted geometry is used to estimate the effective heat-transfer surface. The temperature driving force is represented by the logarithmic mean temperature difference.
6. Binary vapour generation
The reactor heat duty is converted to vapour generation using the composition-weighted latent heat of the current liquid mixture.
The vapour composition is calculated from the binary VLE relation at each simulation step.
7. Batch composition change
As vapour is generated, the component inventories in the reactor are reduced according to the calculated vapour composition. The liquid x₁/x₂ therefore changes during the batch and a new bubble point is calculated at each simulation step.
This is a time-stepped engineering approximation of binary batch distillation behaviour.
8. Condenser overall heat-transfer coefficient
The condenser U is calculated from condensation-side resistance, utility-side resistance, wall resistance and fouling resistance.
9. Dual-condenser heat duty and vapour split
The primary condenser is evaluated first. Vapour not condensed by the primary condenser becomes the secondary condenser inlet load.
10. Overall binary recovery
Overall recovery represents the fraction of generated vapour condensed by both condenser stages over the complete simulated batch.
11. Primary-to-secondary vapour line sizing
The vapour transfer line is checked using the maximum simulated vapour flow entering the secondary condenser. Vapour density is calculated from operating absolute pressure, vapour molecular weight and the current condensation temperature.
The screening criteria retained from the single-component calculator are <30 m/s for atmospheric service and <60 m/s for vacuum service. Final piping design should also verify pressure drop, compressibility, fittings, line length, supports and the applicable project/company piping standard.
12. Engineering interpretation
A changing liquid composition causes the bubble point, vapour composition and mixture latent heat to change during the batch. The calculator therefore reports the initial binary VLE condition and uses the time-stepped composition for the distillation and condenser calculations.