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Extraction Rate Constant Determination

Determination of the pseudo-first-order extraction rate constant from batch experimental data via linear regression of ln(C_eq - C) versus time.

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1. Define Input Parameters

2. Engineering Output

Slope of regression line (m)
- min^-1
Extraction rate constant (k)
- min^-1

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Context & Assumptions

The extraction rate constant quantifies the kinetics of mass transfer during solid-liquid extraction, enabling scale-up and optimization of batch processes in pharmaceutical, nutraceutical, and food industries. It is derived from the slope of a linear fit to the transformed concentration data, assuming a constant equilibrium concentration and valid pseudo-first-order behavior.

Understand the Engineering Principles

Review the step-by-step derivations, typical industrial limits, and scale-up rules.

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