Concentration of Product C given kf and kb Calculator

Concentration of Product C Formula:

\[ [C]_{eq} = \frac{kf'}{kb'} \times \frac{[A]_{eq} \times [B]_{eq}}{[D]_{eq}} \]

Forward Reaction Rate Constant (kf'):

m³/(mol·s)

Backward Reaction Rate Constant (kb'):

m³/(mol·s)

Concentration of Reactant A at Equilibrium:

mol/m³

Concentration of Reactant B at Equilibrium:

mol/m³

Concentration of Product D at Equilibrium:

mol/m³

Concentration of Product C at Equilibrium (mol/m³):

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1. What is Concentration of Product C Calculator?

Definition: This calculator determines the equilibrium concentration of product C in a chemical reaction based on rate constants and other equilibrium concentrations.

Purpose: It helps chemists and chemical engineers predict product concentrations at equilibrium for second-order reactions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ [C]_{eq} = \frac{kf'}{kb'} \times \frac{[A]_{eq} \times [B]_{eq}}{[D]_{eq}} \]

Where:

\( [C]_{eq} \) — Equilibrium concentration of product C (mol/m³)
\( kf' \) — Forward reaction rate constant (m³/(mol·s))
\( kb' \) — Backward reaction rate constant (m³/(mol·s))
\( [A]_{eq} \) — Equilibrium concentration of reactant A (mol/m³)
\( [B]_{eq} \) — Equilibrium concentration of reactant B (mol/m³)
\( [D]_{eq} \) — Equilibrium concentration of product D (mol/m³)

Explanation: The formula relates the equilibrium concentrations through the ratio of forward and backward rate constants.

3. Importance of Equilibrium Calculations

Details: Accurate equilibrium concentration predictions are essential for reaction optimization, yield calculations, and industrial process design.

4. Using the Calculator

Tips: Enter all required values with correct units. Default values are provided for demonstration. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What are typical values for kf' and kb'?
A: Rate constants vary widely but are often in the range of 10⁻⁶ to 10³ m³/(mol·s) for second-order reactions.

Q2: How do I determine equilibrium concentrations experimentally?
A: Through techniques like spectroscopy, chromatography, or titration after the reaction reaches equilibrium.

Q3: Does this formula work for all reaction orders?
A: No, this specific formula is for second-order reactions. Different orders require different equilibrium expressions.

Q4: What if my reaction has different stoichiometry?
A: The formula would need adjustment to account for stoichiometric coefficients in the balanced equation.

Q5: How does temperature affect these calculations?
A: Temperature affects rate constants (via Arrhenius equation) and thus equilibrium concentrations.