1. What is Molar Feed Rate for First Order Reaction for Vessel i?

Definition: This calculator determines the molar feed rate of reactant being fed to a reactor vessel in a first-order reaction system.

Purpose: It helps chemical engineers and researchers calculate the required feed rate for continuous reactor systems.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( F_0 \) — Molar feed rate (mol/s)
• \( V_i \) — Volume of vessel i (m³)
• \( C_0 \) — Initial reactant concentration (mol/m³)
• \( \tau_i \) — Space time for vessel i (seconds)

Explanation: The product of vessel volume and initial concentration gives the total moles, which when divided by space time gives the molar feed rate.

3. Importance of Molar Feed Rate Calculation

Details: Accurate feed rate calculation ensures proper reactor operation, optimal reaction conditions, and desired product yields.

4. Using the Calculator

Tips: Enter the vessel volume in m³, initial concentration in mol/m³, and space time in seconds. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is space time in reactor design?
A: Space time is the time required to process one reactor volume of feed under specified conditions.

Q2: How does first-order reaction affect the calculation?
A: For first-order reactions, the reaction rate depends linearly on reactant concentration.

Q3: What units should I use for concentration?
A: The calculator uses mol/m³, but you can convert from other units (e.g., mol/L = 1000 mol/m³).

Q4: Can this be used for batch reactors?
A: No, this calculation is specifically for continuous flow reactors.

Q5: How do I determine space time?
A: Space time is typically determined experimentally or from reactor design equations.