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

Formula Used:

\[ C = C_0 - (k_{mixed\ flow} \times \tau_{mixed}) \]

Initial Reactant Concentration (C₀):

mol/m³

Rate Constant (k):

mol/(m³·s)

Space Time (τ):

Reactant Concentration (C): mol/m³

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1. What is Reactant Concentration for Zero Order Reaction?

Definition: This calculator determines the remaining reactant concentration in a mixed flow reactor for a zero-order reaction after a given space time.

Purpose: It helps chemical engineers and researchers predict reactant concentrations in continuous stirred-tank reactors (CSTRs) for zero-order reactions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ C = C_0 - (k \times \tau) \]

Where:

\( C \) — Reactant concentration at given time (mol/m³)
\( C_0 \) — Initial reactant concentration (mol/m³)
\( k \) — Rate constant for zero-order reaction (mol/(m³·s))
\( \tau \) — Space time in mixed flow reactor (s)

Explanation: For zero-order reactions, the reaction rate is independent of reactant concentration. The concentration decreases linearly with time.

3. Importance of This Calculation

Details: Accurate prediction of reactant concentration helps in reactor design, process optimization, and ensuring desired conversion rates.

4. Using the Calculator

Tips: Enter the initial concentration, rate constant, and space time. All values must be ≥ 0. The result shows the remaining reactant concentration.

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 (k).

Q2: What is space time in a mixed flow reactor?
A: The time required to process one reactor volume of feed under entrance conditions (τ = V/Q, where V is volume and Q is flow rate).

Q3: What happens if the calculation gives a negative concentration?
A: The calculator shows 0 (complete conversion) as concentration can't be negative. This means the reaction has gone to completion.

Q4: How do I determine the rate constant (k)?
A: It's typically determined experimentally from reaction rate measurements.

Q5: Does this apply to batch reactors?
A: No, this formula is specifically for continuous mixed flow reactors (CSTRs). Batch reactors use different equations.