Volume of Vessel i for First Order Reaction using Molar Feed Rate Calculator

Volume of Vessel i Formula:

\[ V_i = \frac{t_{rC2}' \times F_0}{C_0} \]

Adjusted Retention Time of Comp 2:

Molar Feed Rate:

mol/s

Initial Reactant Concentration:

mol/m³

Volume of Vessel i (m³):

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

Definition: This calculator determines the required volume of a reactor vessel (i) for a first-order reaction based on adjusted retention time, molar feed rate, and initial reactant concentration.

Purpose: It helps chemical engineers design reactor systems by calculating the necessary vessel volume to achieve desired reaction conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_i = \frac{t_{rC2}' \times F_0}{C_0} \]

Where:

\( V_i \) — Volume of vessel i (cubic meters)
\( t_{rC2}' \) — Adjusted retention time of component 2 (seconds)
\( F_0 \) — Molar feed rate (moles per second)
\( C_0 \) — Initial reactant concentration (moles per cubic meter)

Explanation: The formula calculates the reactor volume needed to maintain the desired reaction conditions based on the feed rate and retention characteristics.

3. Importance of Reactor Volume Calculation

Details: Accurate reactor volume calculation ensures proper reaction kinetics, optimal conversion rates, and efficient use of resources in chemical processes.

4. Using the Calculator

Tips: Enter the adjusted retention time in seconds, molar feed rate in mol/s, and initial reactant concentration in mol/m³. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is adjusted retention time?
A: It's the retention time minus the time taken by the mobile phase to travel through the column, representing the actual interaction time between solute and stationary phase.

Q2: How do I determine the molar feed rate?
A: The molar feed rate is typically determined by the process requirements and is calculated based on desired production rates and stoichiometry.

Q3: Why is initial reactant concentration important?
A: It affects reaction rate and conversion efficiency, directly influencing the required reactor volume for a given feed rate.

Q4: Does this calculator work for other reaction orders?
A: This specific formula is designed for first-order reactions. Different reaction orders require different calculation approaches.

Q5: How does temperature affect these calculations?
A: Temperature impacts reaction kinetics and may require adjustment of retention times or feed rates, though the basic volume calculation remains valid.