Equilibrium Conversion of Reaction at Final Temperature Calculator

Formula Used:

\[ K_2 = K_1 \times \exp\left(-\frac{\Delta H_r}{[R]} \times \left(\frac{1}{T_2} - \frac{1}{T_1}\right)\right) \]

Thermodynamic Constant at Initial Temperature (K₁):

Heat of Reaction per Mole (ΔHᵣ):

J/mol

Initial Temperature (T₁):

Final Temperature (T₂):

Thermodynamic Constant at Final Temperature (K₂):

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1. What is Equilibrium Conversion of Reaction at Final Temperature?

Definition: This calculator determines the equilibrium constant at a different temperature using the Van't Hoff equation.

Purpose: It helps chemists and chemical engineers predict how changing temperature affects the equilibrium position of a reaction.

2. How Does the Calculator Work?

The calculator uses the Van't Hoff equation:

\[ K_2 = K_1 \times \exp\left(-\frac{\Delta H_r}{[R]} \times \left(\frac{1}{T_2} - \frac{1}{T_1}\right)\right) \]

Where:

\( K_2 \) — Equilibrium constant at final temperature
\( K_1 \) — Equilibrium constant at initial temperature
\( \Delta H_r \) — Heat of reaction per mole (J/mol)
\( [R] \) — Universal gas constant (8.314 J/mol·K)
\( T_1 \) — Initial temperature (Kelvin)
\( T_2 \) — Final temperature (Kelvin)

Explanation: The equation shows how the equilibrium constant changes with temperature based on the reaction's enthalpy.

3. Importance of Equilibrium Conversion Calculation

Details: Understanding how temperature affects equilibrium is crucial for reaction optimization, industrial process design, and predicting product yields.

4. Using the Calculator

Tips: Enter the initial equilibrium constant, heat of reaction, initial temperature, and final temperature. All temperatures must be in Kelvin.

5. Frequently Asked Questions (FAQ)

Q1: What is the Van't Hoff equation?
A: It describes how the equilibrium constant changes with temperature for a given heat of reaction.

Q2: Why must temperature be in Kelvin?
A: The Kelvin scale is an absolute temperature scale required for thermodynamic calculations.

Q3: What does a positive heat of reaction indicate?
A: A positive ΔH means the reaction is endothermic (absorbs heat), while negative means exothermic (releases heat).

Q4: How does temperature affect equilibrium for exothermic reactions?
A: For exothermic reactions, increasing temperature decreases the equilibrium constant (shifts equilibrium toward reactants).

Q5: What assumptions does this calculation make?
A: It assumes ΔH is constant over the temperature range and ideal behavior.