1. What is Volume of Vessel i for First Order Reaction?

Definition: This calculator determines the required volume of a reactor vessel (i) based on the volumetric flow rate of reactants and the adjusted retention time of component 2.

Purpose: It helps chemical engineers design reactors for first-order reactions by calculating the necessary vessel volume to achieve desired reaction conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V_i \) — Volume of vessel i (cubic meters)
• \( υ \) — Volumetric flow rate (cubic meters per second)
• \( t_{rC2}' \) — Adjusted retention time of component 2 (seconds)

Explanation: The vessel volume is calculated by multiplying the flow rate of reactants by the time needed for component 2 to properly react in the vessel.

3. Importance of Vessel Volume Calculation

Details: Proper vessel sizing ensures efficient reaction completion, optimal resource use, and safety in chemical processes.

4. Using the Calculator

Tips: Enter the volumetric flow rate in m³/s and the adjusted retention time in seconds. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is adjusted retention time?
A: It's the actual time component 2 spends in the reactor, accounting for mobile phase travel time through the system.

Q2: How do I determine the volumetric flow rate?
A: Measure the volume of reactants passing through a point per unit time, typically using flow meters in industrial settings.

Q3: Does this apply to all reaction orders?
A: This specific formula is designed for first-order reactions. Other reaction orders may require different calculations.

Q4: What factors affect retention time?
A: Temperature, pressure, catalyst presence, and reactant concentrations all influence retention time.

Q5: Should I add a safety factor to the calculated volume?
A: Yes, consider adding 10-20% to the calculated volume for operational flexibility and safety margins.