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

Space Time Formula:

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

Reactant Conversion in MFR:

(0 to 1)

Initial Reactant Concentration in MFR:

mol/m³

Rate Constant for Zero Order Reaction in MFR:

mol/(m³·s)

Space Time in MFR:

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1. What is Space Time for Zero Order Reaction in MFR?

Definition: Space time is the time necessary to process volume of reactor fluid at the entrance conditions for a zero-order reaction in a Mixed Flow Reactor (MFR).

Purpose: It helps chemical engineers determine the required residence time for a given conversion in a continuously stirred tank reactor (CSTR).

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: The space time is directly proportional to the conversion and initial concentration, and inversely proportional to the rate constant.

3. Importance of Space Time Calculation

Details: Proper space time calculation ensures optimal reactor design, efficient conversion rates, and cost-effective chemical processes.

4. Using the Calculator

Tips: Enter the reactant conversion (between 0 and 1), initial reactant concentration (must be > 0), and rate constant (must be > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is a zero-order reaction?
A: A reaction where the rate is independent of the reactant concentration. The rate is constant and equal to the rate constant.

Q2: What's a typical range for space time in industrial reactors?
A: It varies widely but often ranges from seconds to hours depending on the reaction kinetics and desired conversion.

Q3: How does space time differ from residence time?
A: Space time is calculated based on entrance conditions, while residence time is the actual time fluid elements spend in the reactor.

Q4: Can this calculator be used for other reaction orders?
A: No, this formula is specific to zero-order reactions. Different equations apply for first-order or second-order reactions.

Q5: What factors affect the rate constant?
A: Temperature is the primary factor - rate constants typically follow the Arrhenius equation and increase with temperature.