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

Reactant Concentration Formula:

\[ C_{Batch} = C_{o\,Batch} - (k_{Batch} \times \tau_{Batch}) \]

Initial Reactant Concentration (C_{o Batch}):

mol/m³

Rate Constant for Zero Order (k_Batch):

mol/(m³·s)

Space Time (τ_Batch):

seconds

Reactant Concentration (C_Batch): 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 batch reactor for a zero-order reaction based on initial concentration, rate constant, and space time.

Purpose: It helps chemical engineers and researchers predict reactant concentrations at different times during a zero-order reaction process.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ C_{Batch} = C_{o\,Batch} - (k_{Batch} \times \tau_{Batch}) \]

Where:

\( C_{Batch} \) — Reactant concentration at any time (mol/m³)
\( C_{o\,Batch} \) — Initial reactant concentration (mol/m³)
\( k_{Batch} \) — Rate constant for zero-order reaction (mol/(m³·s))
\( \tau_{Batch} \) — Space time in batch reactor (seconds)

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

3. Importance of Reactant Concentration Calculation

Details: Accurate concentration prediction is crucial for reaction control, process optimization, and safety in chemical processes.

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, remaining constant throughout the reaction.

Q2: How is space time different from reaction time?
A: Space time is the time required to process one reactor volume of feed at entrance conditions, while reaction time is the actual duration of the reaction.

Q3: What happens if the calculation gives a negative concentration?
A: The calculator automatically sets negative results to 0, as concentrations cannot be negative in reality.

Q4: What are typical units for these calculations?
A: Concentration in mol/m³, rate constant in mol/(m³·s), and space time in seconds.

Q5: Can this be used for non-zero-order reactions?
A: No, this formula is specific to zero-order reactions. Other reaction orders require different equations.