Space Time for Zero Order Reaction for Mixed Flow Calculator

Space Time Formula:

\[ \tau_{mixed} = \frac{X_{mfr} \times C_0}{k_{mixed\ flow}} \]

Reactant Conversion in Mixed Flow:

(0 to 1)

Initial Reactant Concentration:

mol/m³

Rate Constant (Zero Order):

mol/(m³·s)

Space Time in Mixed Flow:

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

Definition: Space time is the time required to process one reactor volume of feed under specified conditions for a zero-order reaction in a mixed flow reactor.

Purpose: It helps chemical engineers determine the necessary residence time for reactants to achieve a desired conversion in a continuously stirred tank reactor (CSTR).

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \tau_{mixed} = \frac{X_{mfr} \times C_0}{k_{mixed\ flow}} \]

Where:

\( \tau_{mixed} \) — Space time in mixed flow (seconds)
\( X_{mfr} \) — Reactant conversion in mixed flow (0 to 1)
\( C_0 \) — Initial reactant concentration (mol/m³)
\( k_{mixed\ flow} \) — Rate constant for zero order reaction (mol/(m³·s))

Explanation: For zero-order reactions, the space time is directly proportional to the desired conversion and initial concentration, and inversely proportional to the rate constant.

3. Importance of Space Time Calculation

Details: Accurate space time calculation ensures proper reactor sizing, optimal reaction conditions, and efficient process design in chemical engineering applications.

4. Using the Calculator

Tips: Enter the reactant conversion (0-1), initial concentration (mol/m³), and rate constant (mol/(m³·s)). 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 the reactant concentration, proceeding at a constant rate.

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

Q3: How does mixed flow differ from plug flow?
A: Mixed flow (CSTR) assumes perfect mixing with uniform composition, while plug flow has no mixing with concentration gradients along the reactor.

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

Q5: What if my rate constant has different units?
A: Convert your rate constant to mol/(m³·s) before using this calculator for accurate results.