Number of Moles of Reactant Fed to Constant Volume Batch Reactor Calculator

Formula Used:

\[ N_{Ao} = V_{solution} \times \left( C_A + \left( \frac{A}{\Delta n} \right) \times \left( \frac{N_T - N_0}{V_{solution}} \right) \right) \]

Volume of Solution:

m³

Concentration of Reactant A:

mol/m³

Stoichiometric Coefficient of Reactant:

Net Stoichiometric Coefficient:

Total Number of Moles:

mol

Total Number of Moles Initially:

mol

Number of Moles of Reactant-A Fed (mol):

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1. What is Number of Moles of Reactant Fed to Constant Volume Batch Reactor?

Definition: This calculation determines the initial amount of reactant (in moles) fed to a constant volume batch reactor based on the reaction stoichiometry and system conditions.

Purpose: It helps chemical engineers and researchers determine the initial reactant requirements for batch reactor operations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ N_{Ao} = V_{solution} \times \left( C_A + \left( \frac{A}{\Delta n} \right) \times \left( \frac{N_T - N_0}{V_{solution}} \right) \right) \]

Where:

\( N_{Ao} \) — Number of moles of reactant-A fed (mol)
\( V_{solution} \) — Volume of solution (m³)
\( C_A \) — Concentration of reactant A (mol/m³)
\( A \) — Stoichiometric coefficient of reactant
\( \Delta n \) — Net stoichiometric coefficient
\( N_T \) — Total number of moles in system (mol)
\( N_0 \) — Total number of moles initially (mol)

Explanation: The formula accounts for the initial concentration and the change in moles due to reaction stoichiometry.

3. Importance of This Calculation

Details: Accurate determination of initial reactant moles is crucial for reaction design, yield prediction, and safety considerations in batch reactors.

4. Using the Calculator

Tips: Enter all required parameters. Volume must be > 0 and net stoichiometric coefficient cannot be zero. All mole values should be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is a constant volume batch reactor?
A: It's a reactor where the volume remains constant throughout the reaction, typically used for liquid-phase reactions.

Q2: How do I determine the net stoichiometric coefficient?
A: Subtract the sum of reactant coefficients from the sum of product coefficients in the balanced chemical equation.

Q3: What if my net stoichiometric coefficient is zero?
A: This calculation doesn't apply as there's no change in total moles (Δn=0). The formula would require division by zero.

Q4: Can I use different units?
A: The calculator uses standard SI units. Convert your values to m³ for volume and mol/m³ for concentration before input.

Q5: How precise should my input values be?
A: Use at least 2-3 decimal places for accurate results, especially for concentration and stoichiometric coefficients.