Home Back

Rate Constant based on Weight of Catalyst in Batch Solids and Mixed Constant Flow of Fluids Calculator

Formula Used:

\[ k' = \frac{\exp\left(\ln\left(\frac{C_{A0}}{C_A}-1\right) + k_{d,MF} \times t\right)}{\tau} \]

mol/m³
mol/m³
1/s
s
s
1/s

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Rate Constant based on Weight of Catalyst?

Definition: This calculator determines the rate constant for catalytic reactions considering catalyst deactivation in mixed flow reactors.

Purpose: It helps chemical engineers and researchers analyze reaction kinetics in systems with catalyst deactivation.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ k' = \frac{\exp\left(\ln\left(\frac{C_{A0}}{C_A}-1\right) + k_{d,MF} \times t\right)}{\tau} \]

Where:

Explanation: The formula accounts for the initial and current reactant concentrations, catalyst deactivation rate, reaction time, and space time.

3. Importance of Rate Constant Calculation

Details: Accurate rate constant determination is crucial for reactor design, process optimization, and catalyst performance evaluation.

4. Using the Calculator

Tips: Enter all required parameters with positive values. Default values are provided for demonstration purposes.

5. Frequently Asked Questions (FAQ)

Q1: What does the rate constant represent?
A: It represents the reaction rate per unit mass of catalyst, accounting for deactivation effects.

Q2: How is space time different from reaction time?
A: Space time is a reactor design parameter representing the time required to process one reactor volume of feed.

Q3: What factors affect catalyst deactivation rate?
A: Temperature, poisoning, fouling, and thermal degradation can all impact deactivation rate.

Q4: Can this calculator be used for other reactor types?
A: No, this specific formula applies to mixed flow reactors with batch solids.

Q5: What units should I use for inputs?
A: All concentrations should be in mol/m³, rates in 1/s, and times in seconds for consistent results.

Rate Constant based on Weight of Catalyst Calculator© - All Rights Reserved 2025