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Definition: The rate constant for a first-order reaction in a batch reactor determines how quickly the reactant concentration decreases over time.
Purpose: This calculator helps chemical engineers and researchers determine the reaction rate constant based on concentration measurements.
The calculator uses the formula:
Where:
Explanation: The natural log of the concentration ratio divided by the space time gives the first-order rate constant.
Details: Accurate rate constants are essential for reactor design, process optimization, and predicting reaction behavior.
Tips: Enter the space time, initial concentration, and current concentration. All values must be > 0.
Q1: What is space time in a batch reactor?
A: Space time is the time required to process one reactor volume of feed under entrance conditions.
Q2: How does temperature affect the rate constant?
A: Rate constants typically increase with temperature according to the Arrhenius equation.
Q3: What units should I use for concentrations?
A: The calculator uses mol/m³, but any consistent concentration units can be used as long as they're the same for both concentrations.
Q4: Can I use this for second-order reactions?
A: No, this calculator is specifically for first-order reactions.
Q5: What if my current concentration is higher than initial?
A: This would give a negative rate constant, which is physically impossible - check your measurements.