Code tool

Batch Reactor Volume Estimate Calculator

Use only your own batch feed mass, working concentration and occupied-volume fraction. This arithmetic estimate does not size a reactor for a chemical process.

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Use only your own batch feed mass, working concentration and occupied-volume fraction. This arithmetic estimate does not size a reactor for a chemical process.

V = m / (C × f). Mass and concentration must be finite and positive; fill fraction must be greater than 0 and at most 1. The concentration numerator must refer to the same feed material as m. Working liquid volume is m/C; f is that occupied liquid volume divided by the estimated capacity. Dividing by f adds the user-selected unfilled allowance. No fill fraction is recommended. No kinetics, batch time, yield, density prediction, mixing, thermal design, pressure, mechanical dimensions, or engineering design conclusion is provided.

Inputs and results stay in this browser tab. Nothing is uploaded or stored by this calculator.

University of Michigan: Elements of Chemical Reaction Engineering, seventh edition, chapter 2, Derivation of Batch Reactor Design Equations. This reference describes kinetic batch design. The calculator uses only the stated mass/concentration identity and your fill fraction, not its kinetic design equations.

A QUICK WALKTHROUGH

How to use this tool

  1. Enter your own values in the units shown.
  2. Check the input ranges and the formula assumptions.
  3. Calculate the estimate. Editing inputs clears the previous result.

Formula and scope

V = m / (C × f). Mass and concentration must be finite and positive; fill fraction must be greater than 0 and at most 1. The concentration numerator must refer to the same feed material as m. Working liquid volume is m/C; f is that occupied liquid volume divided by the estimated capacity. Dividing by f adds the user-selected unfilled allowance. No fill fraction is recommended. No kinetics, batch time, yield, density prediction, mixing, thermal design, pressure, mechanical dimensions, or engineering design conclusion is provided.

Educational reference

University of Michigan: Elements of Chemical Reaction Engineering, seventh edition, chapter 2, Derivation of Batch Reactor Design Equations: https://websites.umich.edu/~elements/7e/02chap/summary-derive_batch.html. This reference describes kinetic batch design. The calculator uses only the stated mass/concentration identity and your fill fraction, not its kinetic design equations.

Browser privacy

Inputs and results stay in this browser tab. Nothing is uploaded or stored by this calculator.

GOOD TO KNOW

Common questions

Where do the input values come from?

You supply every value and are responsible for its units, definition and conditions. No material properties or operating values are selected for you.

Does this provide an engineering design or safety assessment?

Mass and concentration must be finite and positive; fill fraction must be greater than 0 and at most 1. The concentration numerator must refer to the same feed material as m. Working liquid volume is m/C; f is that occupied liquid volume divided by the estimated capacity. Dividing by f adds the user-selected unfilled allowance. No fill fraction is recommended. No kinetics, batch time, yield, density prediction, mixing, thermal design, pressure, mechanical dimensions, or engineering design conclusion is provided.