1. What is Rate Constant for Second Order Reaction for Plug Flow Reactors?

Definition: This calculator determines the rate constant (k'') for a second-order reaction in a plug flow reactor or infinite reactors based on reactant concentrations and space time.

Purpose: It helps chemical engineers and researchers analyze reaction kinetics in continuous flow systems.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( k'' \) — Rate constant for second order reaction (m³/mol·s)
• \( C_0 \) — Initial reactant concentration (mol/m³)
• \( \tau_p \) — Space time for plug flow reactor (seconds)
• \( C \) — Reactant concentration at given time (mol/m³)

Explanation: The formula relates the rate constant to the change in reactant concentration over the reactor's space time.

3. Importance of Rate Constant Calculation

Details: Accurate rate constants are essential for reactor design, process optimization, and predicting reaction behavior in continuous systems.

4. Using the Calculator

Tips: Enter the initial concentration, space time, and current reactant concentration. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is space time in a plug flow reactor?
A: Space time (τₚ) is the time required to process one reactor volume of feed under specified conditions.

Q2: What are typical units for second-order rate constants?
A: For second-order reactions, rate constants typically have units of m³/(mol·s) or L/(mol·s).

Q3: How does this differ from batch reactor calculations?
A: Plug flow reactors consider continuous flow and spatial variation, while batch reactors consider time variation in a closed system.

Q4: What assumptions does this calculation make?
A: It assumes ideal plug flow (no axial mixing), isothermal conditions, and constant density.

Q5: When would I use this calculation?
A: When designing or analyzing continuous flow reactors for second-order reactions.