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

Definition: Space time is the time necessary to process volume of reactor fluid at the entrance conditions for a zero-order reaction in a plug flow reactor.

Purpose: It helps chemical engineers determine the required residence time for a given conversion in a plug flow reactor operating with a zero-order reaction.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \tau \) — Space time (seconds)
• \( X_A \) — Reactant conversion (decimal between 0 and 1)
• \( C_0 \) — Initial reactant concentration (mol/m³)
• \( k \) — Rate constant for zero-order reaction (mol/(m³·s))

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

3. Importance of Space Time Calculation

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

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 typical range for rate constants?
A: Rate constants vary widely depending on the reaction, typically ranging from 10^-6 to 10² mol/(m³·s).

Q3: How does plug flow differ from batch?
A: Plug flow is continuous with spatial variation, while batch is time-dependent in a closed system.

Q4: What if my conversion is 100%?
A: Enter 1.0 for conversion. Note that zero-order reactions can't reach 100% conversion as rate becomes zero.

Q5: What units should I use?
A: Use consistent SI units: mol/m³ for concentrations and seconds for time.