Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor Calculator

Reactant Concentration Formula:

\[ C_{k0} = \frac{C_{A0}}{1 + (k_I \times \tau_m)} \]

Initial Reactant Concentration (CA0):

mol/m³

Rate Constant for First Step (kI):

1/s

Space Time (τm):

Reactant Concentration (Ck0):

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1. What is Reactant Concentration for Two Steps First Order Reaction?

Definition: This calculator determines the reactant concentration in a mixed flow reactor for a two-step first-order irreversible reaction series.

Purpose: It helps chemical engineers and researchers analyze reaction kinetics and design appropriate reactors for consecutive reactions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ C_{k0} = \frac{C_{A0}}{1 + (k_I \times \tau_m)} \]

Where:

\( C_{k0} \) — Reactant concentration for zero order series reaction (mol/m³)
\( C_{A0} \) — Initial reactant concentration (mol/m³)
\( k_I \) — Rate constant for first step first order reaction (1/s)
\( \tau_m \) — Space time for mixed flow reactor (s)

Explanation: The formula calculates the steady-state concentration of reactant in a mixed flow reactor for consecutive first-order reactions.

3. Importance of Reactant Concentration Calculation

Details: Accurate concentration calculations are essential for reactor design, process optimization, and predicting product yields in chemical reactions.

4. Using the Calculator

Tips: Enter the initial reactant concentration, rate constant for the first step, and space time. All values must be ≥ 0.

5. Frequently Asked Questions (FAQ)

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

Q2: How is this different from batch reactor calculations?
A: Mixed flow reactors (CSTRs) have different kinetics than batch reactors due to continuous flow and perfect mixing assumptions.

Q3: What if I have more than two reaction steps?
A: The formula becomes more complex with additional steps. This calculator is specifically for two-step reactions.

Q4: What are typical values for the rate constant?
A: Rate constants vary widely depending on the reaction and temperature, ranging from 10^-6 to 10^3 1/s for many reactions.

Q5: Does this account for temperature effects?
A: No, the rate constant should be determined at the relevant temperature using the Arrhenius equation if needed.