A batch reactor operates without continuous inflow or outflow, so the concentration of reactants changes only due to the chemical reaction itself. By integrating the rate law over the reaction time, we can predict how long it will take to reach a desired conversion.
For a single‑step reaction following a power‑law rate expression r = k C^{n}, the integrated form depends on the reaction order n. When n = 1 (first‑order), the relationship simplifies to a natural‑logarithmic expression, whereas for n ≠ 1 a power‑law term appears.
The calculator below uses the appropriate integrated rate law to compute the batch residence time required to achieve a target conversion X, given the initial concentration C₀, the kinetic constant k, and the reaction order n.
How do I calculate the time for a first-order reaction in a batch reactor?
What is the difference between a batch reactor and a continuous flow reactor?
How do I determine the reaction order for my chemical process?
Can this calculator handle reactions with different orders (n ≠ 1)?
What are the units for the rate constant k in this context?
How accurate is the prediction from this calculator?
Can I use this calculator for multi-step reactions?
Results are for informational purposes only and do not constitute professional advice.