Reactant Conversion for Zero Order Reaction for Mixed Flow Calculator

Reactant Conversion Formula:

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

Rate Constant for Zero Order Reaction:

mol/m³·s

Space Time in MFR:

Initial Reactant Concentration:

mol/m³

Reactant Conversion (X_MFR):

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

Definition: This calculator determines the fraction of reactants converted to products in a Mixed Flow Reactor (MFR) for a zero-order reaction.

Purpose: It helps chemical engineers design and analyze continuous stirred-tank reactors (CSTRs) where the reaction rate is independent of reactant concentration.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: For zero-order reactions, the conversion depends linearly on the space time and rate constant, and inversely on initial concentration.

3. Importance of Reactant Conversion Calculation

Details: Accurate conversion calculations are crucial for reactor sizing, process optimization, and predicting product yields in chemical processes.

4. Using the Calculator

Tips: Enter the zero-order rate constant, space time, and initial reactant concentration. All values must be positive numbers.

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 reactants are exhausted.

Q2: What is space time in a MFR?
A: The time required to process one reactor volume of feed at entrance conditions (τ = V/v₀).

Q3: What if the calculated conversion exceeds 1?
A: The calculator caps at 1 (100% conversion), but in practice this means insufficient reactant for the given conditions.

Q4: How does this differ from batch reactor conversion?
A: MFR operates at steady-state with continuous flow, while batch reactors have time-dependent concentrations.

Q5: When are zero-order reactions encountered?
A: In catalytic reactions where the catalyst is saturated, or in photochemical reactions with constant light intensity.