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Temperature of Reaction given Equilibrium Constant and Gibbs Energy Calculator

Temperature Formula:

\[ T = \frac{G}{-2.303 \times [R] \times \log_{10}(K_c)} \]

J
mol/m³

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1. What is Temperature of Reaction Calculator?

Definition: This calculator determines the temperature of a chemical reaction based on Gibbs free energy and the equilibrium constant.

Purpose: It helps chemists and chemical engineers understand the temperature conditions needed for specific reaction equilibria.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T = \frac{G}{-2.303 \times [R] \times \log_{10}(K_c)} \]

Where:

Explanation: The formula relates the thermodynamic driving force (Gibbs energy) to the equilibrium position at a given temperature.

3. Importance of Temperature Calculation

Details: Knowing the reaction temperature helps in designing chemical processes, predicting reaction feasibility, and optimizing conditions.

4. Using the Calculator

Tips: Enter Gibbs free energy in Joules and equilibrium constant in mol/m³. The equilibrium constant must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is Gibbs Free Energy?
A: It's a thermodynamic potential that measures the maximum reversible work a system can perform at constant temperature and pressure.

Q2: What units should I use for the equilibrium constant?
A: The calculator expects Kc in mol/m³. Convert if using different units.

Q3: Why is the natural logarithm not used?
A: The formula uses base-10 logarithm (log10) as it's commonly used in equilibrium constant expressions.

Q4: Can I use this for any reaction?
A: Yes, as long as you have accurate values for ΔG and Kc at the desired conditions.

Q5: What does a negative temperature result mean?
A: Negative temperature values are physically impossible. This indicates an error in input values or that the reaction is not feasible.

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