Rate Constant for Zero Order Reaction using Space Time for Plug Flow Calculator

Formula Used:

\[ k_{Batch} = \frac{XA_{Batch} \times Co_{Batch}}{\tau_{Batch}} \]

Reactant Conversion in Batch:

(0 to 1)

Initial Reactant Concentration:

mol/m³

Space Time in Batch Reactor:

seconds

Rate Constant for Zero Order (mol/m³·s):

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1. What is Rate Constant for Zero Order Reaction?

Definition: The rate constant for a zero-order reaction is equal to the rate of reaction, as the rate is independent of the reactant concentration.

Purpose: This calculator determines the rate constant for zero-order reactions in batch reactors using space time and conversion data.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ k_{Batch} = \frac{XA_{Batch} \times Co_{Batch}}{\tau_{Batch}} \]

Where:

\( k_{Batch} \) — Rate constant for zero-order reaction (mol/m³·s)
\( XA_{Batch} \) — Reactant conversion (0 to 1)
\( Co_{Batch} \) — Initial reactant concentration (mol/m³)
\( \tau_{Batch} \) — Space time in batch reactor (seconds)

Explanation: The product of conversion and initial concentration divided by space time gives the rate constant.

3. Importance of Rate Constant Calculation

Details: Knowing the rate constant helps in reactor design, process optimization, and predicting reaction behavior under different conditions.

4. Using the Calculator

Tips: Enter the reactant conversion (0-1), initial concentration (must be > 0), and space time (must be > 0). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is a zero-order reaction?
A: A reaction where the rate is independent of the reactant concentration.

Q2: What is space time in a batch reactor?
A: The time required to process one reactor volume of feed under entrance conditions.

Q3: How does conversion affect the rate constant?
A: Higher conversion at constant space time indicates a higher rate constant.

Q4: What are typical units for zero-order rate constant?
A: mol/m³·s or similar concentration per time units.

Q5: Can this be used for continuous reactors?
A: This specific formula is for batch reactors. Different formulas apply for continuous flow reactors.