Steady-State Chemical Mass Balance Calculator
Solve non-reacting continuous mass conservation, stream blending concentrations, and separation stage splits.
Stream 1: Inlet Feed A
Stream 2: Inlet Feed B
Stream Balance Summary
Total Outlet Flow (m₃)
0.00 lb/hr
Outlet Key Comp. Conc. (x₃)
0.00 %
Key Component Mass Flow
0.00 lb/hr
Carrier / Solvent Flow
0.00 lb/hr
Engineering Fundamentals & Conservation Laws
Chemical plant material balances follow the universal Law of Conservation of Mass. At steady state, accumulation inside the system boundary is zero (Accumulation = 0), meaning:
Total Mass In = Total Mass Out
1. Two-Stream Continuous Blending Equations
For a non-reacting binary node mixing streams m₁ and m₂ to form stream m₃:
- Overall Mass Balance:
m₃ = m₁ + m₂ - Component Species Balance:
m₃ * x₃ = (m₁ * x₁) + (m₂ * x₂) - Resulting Mixed Concentration:
x₃ = [(m₁ * x₁) + (m₂ * x₂)] / m₃
2. Separation & Recovery Equations
For distillation columns, evaporators, membranes, and crystallizers splitting a single feed stream into overhead (product) and bottoms (waste) streams:
- Key Component In Feed:
m_solute = m_feed * x_feed - Overhead Solute Mass:
m_overhead_solute = m_solute * (Recovery % / 100) - Total Overhead Stream Flow:
m_overhead = m_overhead_solute / (Overhead Concentration / 100) - Bottoms Stream Mass Flow:
m_bottoms = m_feed - m_overhead
3. Common Industrial Applications
| Unit Operation | Typical Feed Stream | Target Control Variable |
|---|---|---|
| Chemical Inline Blending | Concentrated Acid + Dilution Water | Final pH / % Weight concentration |
| Flash Drum / Evaporator | Dilute Polymer or Sugar Solution | Solute recovery % & Steam consumption |
| Distillation Stripper | Crude Hydrocarbon Fractions | Overhead product purity & bottoms loss |