Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration Calculator

Formula Used:

\[ k_2 = \frac{1}{k_I \times (\tau_{R,max})^2} \]

Rate Constant for Second Step First Order Reaction:

1/s

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1. What is Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration?

Definition: This calculator determines the rate constant for the second step in a two-step first-order irreversible reaction series at the point of maximum intermediate concentration in a Mixed Flow Reactor (MFR).

Purpose: It helps chemical engineers analyze and design reaction systems where intermediate products reach maximum concentrations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ k_2 = \frac{1}{k_I \times (\tau_{R,max})^2} \]

Where:

\( k_2 \) — Rate constant for second step first order reaction (1/s)
\( k_I \) — Rate constant for first step first order reaction (1/s)
\( \tau_{R,max} \) — Time at maximum intermediate concentration (s)

Explanation: The formula relates the rate constants of consecutive reactions to the time when the intermediate concentration peaks in a mixed flow reactor.

3. Importance of This Calculation

Details: Understanding these rate constants helps optimize reactor design, control intermediate product formation, and maximize desired product yields.

4. Using the Calculator

Tips: Enter the rate constant for the first step reaction (kI) and the time at which maximum intermediate concentration occurs (τR,max). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a Mixed Flow Reactor (MFR)?
A: Also known as a Continuous Stirred-Tank Reactor (CSTR), it's a reactor where contents are perfectly mixed and uniform throughout.

Q2: Why is the time at maximum intermediate concentration important?
A: It helps determine optimal operating conditions and residence times for maximizing intermediate production if desired.

Q3: What are typical values for kI in industrial processes?
A: Values vary widely but typically range from 0.001 to 10 1/s depending on the reaction and temperature.

Q4: How is τR,max determined experimentally?
A: By monitoring intermediate concentration over time in a reactor and identifying the time point where it peaks.

Q5: Does this apply to other reactor types?
A: The specific formula is for MFR/CSTR systems. Plug flow reactors would use different relationships.