Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration Calculator

Formula Used:

\[ C_{A0} = \frac{C_R \times (1 + (k_1 \times \tau_m)) \times (1 + (k_2 \times \tau_m))}{k_1 \times \tau_m} \]

Intermediate Concentration (C_R):

mol/m³

Rate Constant First Step (k₁):

1/s

Space Time (τ_m):

Rate Constant Second Step (k₂):

1/s

Initial Reactant Concentration (C_A0): mol/m³

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Initial Reactant Concentration for MFR?

Definition: This calculator determines the initial concentration of reactant needed in a mixed flow reactor (MFR) for a two-step first-order irreversible reaction series.

Purpose: It helps chemical engineers design reactors and predict reactant requirements for complex reaction systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ C_{A0} = \frac{C_R \times (1 + (k_1 \times \tau_m)) \times (1 + (k_2 \times \tau_m))}{k_1 \times \tau_m} \]

Where:

\( C_{A0} \) — Initial reactant concentration (mol/m³)
\( C_R \) — Intermediate concentration (mol/m³)
\( k_1 \) — Rate constant for first step (1/s)
\( k_2 \) — Rate constant for second step (1/s)
\( \tau_m \) — Space time for mixed flow reactor (s)

Explanation: The formula accounts for both reaction steps and the reactor's space time to determine the required initial reactant concentration.

3. Importance of This Calculation

Details: Accurate initial concentration calculations are crucial for reactor design, process optimization, and ensuring desired product yields in multi-step reactions.

4. Using the Calculator

Tips: Enter the intermediate concentration, both rate constants, and space time. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is space time in a mixed flow reactor?
A: Space time (τ) is the time required to process one reactor volume of feed under specified conditions.

Q2: How do I determine the rate constants k₁ and k₂?
A: Rate constants are typically determined experimentally or from literature for specific reactions and conditions.

Q3: Can this be used for other reactor types?
A: No, this specific formula applies only to mixed flow reactors (continuous stirred-tank reactors).

Q4: What if my reaction has more than two steps?
A: This calculator is specifically for two-step reactions. More complex systems require different approaches.

Q5: Why is the intermediate concentration important?
A: The intermediate concentration affects the overall reaction kinetics and the required initial reactant concentration.