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Definition: This calculator determines the initial concentration of reactant needed in a batch reactor for a zero-order reaction, based on rate constant, space time, and desired conversion.
Purpose: It helps chemical engineers design batch reactors by calculating the required initial reactant concentration to achieve specific conversion rates.
The calculator uses the formula:
Where:
Explanation: For zero-order reactions, the reaction rate is independent of reactant concentration. The space time and conversion directly determine the required initial concentration.
Details: Accurate initial concentration calculation ensures proper reactor sizing, optimal reaction conditions, and desired product yields.
Tips: Enter the rate constant (positive value), space time (positive value), and conversion (between 0 and 1). The calculator will compute the required initial concentration.
Q1: What is a zero-order reaction?
A: A reaction where the rate is independent of the reactant concentration, remaining constant throughout the reaction.
Q2: How is space time different from residence time?
A: Space time is the time required to process one reactor volume of feed, while residence time is the actual time fluid elements spend in the reactor.
Q3: What units should I use for the rate constant?
A: For zero-order reactions, the rate constant has units of mol/m³·s (concentration per time).
Q4: Can conversion be greater than 1?
A: No, conversion is always between 0 (0%) and 1 (100%). Values above 1 are physically meaningless.
Q5: How does temperature affect this calculation?
A: Temperature affects the rate constant (k) but not the formula itself. Use the appropriate k value for your operating temperature.