Rate Constant Formula:
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Definition: This calculator determines the rate constant for a second-order reaction occurring in a mixed flow reactor based on reactant conversion, space time, and initial concentration.
Purpose: It helps chemical engineers and researchers quantify reaction kinetics in continuous stirred-tank reactors (CSTRs).
The calculator uses the formula:
Where:
Explanation: The formula relates the reaction rate constant to measurable parameters in a mixed flow reactor system.
Details: Accurate rate constants are essential for reactor design, process optimization, and scaling up chemical reactions.
Tips: Enter the reactant conversion (as decimal), space time in seconds, and initial concentration in mol/m³. All values must be positive, with conversion between 0 and 1.
Q1: What is a typical range for second-order rate constants?
A: They typically range from 10⁻⁶ to 10³ m³/mol·s depending on the reaction.
Q2: How does mixed flow differ from plug flow reactors?
A: Mixed flow reactors (CSTRs) have uniform composition throughout, while plug flow reactors have concentration gradients along the length.
Q3: What if my conversion is 100% (X=1)?
A: The formula becomes undefined at X=1 since denominator becomes zero. In practice, complete conversion is rarely achieved.
Q4: How do I determine space time?
A: Space time is reactor volume divided by volumetric flow rate at inlet conditions.
Q5: Does temperature affect the rate constant?
A: Yes, rate constants are temperature dependent (Arrhenius equation). This calculator assumes isothermal conditions.