Initial Reactant Concentration for Zero Order Reaction for Mixed Flow Calculator

Formula:

\[ C_{0,MFR} = \frac{k_{0,MFR} \times \tau_{MFR}}{X_{MFR}} \]

Rate Constant for Zero Order Reaction in MFR:

mol/m³·s

Space Time in MFR:

Reactant Conversion in MFR:

(0 to 1)

Initial Reactant Concentration in MFR:

mol/m³

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1. What is Initial Reactant Concentration for Zero Order Reaction in MFR?

Definition: This calculator determines the initial concentration of reactant needed in a Mixed Flow Reactor (MFR) for a zero-order reaction based on the reaction rate constant, space time, and desired conversion.

Purpose: It helps chemical engineers design reactors and determine the required initial reactant concentrations for specific conversion targets.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ C_{0,MFR} = \frac{k_{0,MFR} \times \tau_{MFR}}{X_{MFR}} \]

Where:

\( C_{0,MFR} \) — Initial reactant concentration (mol/m³)
\( k_{0,MFR} \) — Rate constant for zero-order reaction (mol/m³·s)
\( \tau_{MFR} \) — Space time in the reactor (seconds)
\( X_{MFR} \) — Reactant conversion (decimal between 0 and 1)

Explanation: The product of rate constant and space time gives the amount of reactant consumed, which when divided by conversion gives the initial concentration needed.

3. Importance of This Calculation

Details: Accurate initial concentration calculation ensures proper reactor sizing, achieves desired product yields, and optimizes reaction conditions.

4. Using the Calculator

Tips: Enter the zero-order rate constant, reactor space time, and desired conversion (as decimal). All values must be positive, with conversion between 0 and 1.

5. Frequently Asked Questions (FAQ)

Q1: What is a zero-order reaction?
A: A reaction where the rate is independent of reactant concentration, remaining constant until reactant is depleted.

Q2: How is space time different from residence time?
A: Space time is calculated at entrance conditions, while residence time accounts for volume changes during reaction.

Q3: What's a typical conversion value for industrial reactors?
A: Typically 0.7-0.9 (70-90%), balancing reaction completeness with economic factors.

Q4: Can this be used for other reactor types?
A: No, this formula is specific to Mixed Flow Reactors (continuously stirred tank reactors).

Q5: What if my conversion is 100% (X=1)?
A: The formula simplifies to C₀ = k₀·τ, but perfect 100% conversion is theoretically impossible.