Formula:
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Definition: This calculator determines the reactant concentration in the previous vessel (i-1) based on the concentration in vessel i, reaction rate constant, and adjusted retention time.
Purpose: It helps chemical engineers and researchers analyze and design continuous stirred-tank reactor (CSTR) systems for first-order reactions.
The calculator uses the formula:
Where:
Explanation: The formula accounts for the reaction progress between consecutive vessels in a series.
Details: Accurate calculation of reactant concentrations helps in optimizing reactor design, predicting product yields, and ensuring process efficiency.
Tips: Enter the current vessel concentration, reaction rate constant, and adjusted retention time. All values must be positive numbers.
Q1: What is a first-order reaction?
A: A reaction where the rate depends linearly on the concentration of one reactant.
Q2: How do I determine the rate constant?
A: The rate constant is typically determined experimentally from kinetic studies.
Q3: What does adjusted retention time represent?
A: It's the actual time the component spends in the column, excluding dead time.
Q4: Can this be used for batch reactors?
A: No, this formula specifically applies to continuous stirred-tank reactors in series.
Q5: What units should I use?
A: Use consistent units: mol/m³ for concentrations, 1/s for rate constant, and seconds for time.