Initial Reactant Concentration for Zero Order Reaction using Space Time for Mixed Flow Calculator

Formula Used:

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

Initial Reactant Concentration (mol/m³):

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

Definition: This calculator determines the initial reactant concentration needed for a zero-order reaction in a mixed flow reactor based on rate constant, space time, and conversion.

Purpose: It helps chemical engineers design reactors and understand reaction kinetics for zero-order reactions in continuous stirred-tank reactors (CSTR).

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: The product of rate constant and space time is divided by the desired conversion to determine the required initial concentration.

3. Importance of Initial Concentration Calculation

Details: Accurate initial concentration calculation ensures proper reactor design, optimal reaction conditions, and desired product yield.

4. Using the Calculator

Tips: Enter the rate constant (positive value), space time (positive value), and conversion (between 0 and 1). All values 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, remaining constant throughout the reaction.

Q2: What is space time in a mixed flow reactor?
A: The time required to process one reactor volume of feed under specified conditions, equal to reactor volume divided by volumetric flow rate.

Q3: How does conversion affect the initial concentration?
A: Higher conversion requirements demand higher initial concentrations to achieve the same reaction rate in a zero-order reaction.

Q4: What are typical units for zero-order rate constant?
A: For concentration in mol/m³ and time in seconds, the rate constant has units of mol/m³·s.

Q5: 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.