Arrhenius Equation for First Order Reaction:
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Definition: The Arrhenius equation describes how the rate constant (k) of a chemical reaction depends on temperature and activation energy.
Purpose: This calculator helps chemists and chemical engineers determine reaction rates for first-order reactions at different temperatures.
The calculator uses the Arrhenius equation:
Where:
Explanation: The equation shows that reaction rates increase exponentially with temperature and decrease with higher activation energy.
Details: Accurate rate constants are essential for reaction kinetics studies, chemical process design, and predicting reaction behavior under different conditions.
Tips: Enter the frequency factor (A), activation energy (Eₐ) in J/mol, and temperature in Kelvin. All values must be positive.
Q1: What is the frequency factor (A)?
A: It represents the frequency of collisions with proper orientation for reaction, typically ranging from 10¹⁰ to 10¹⁴ s⁻¹ for first-order reactions.
Q2: How do I determine activation energy?
A: Activation energy can be determined experimentally from the slope of an Arrhenius plot (ln(k) vs 1/T).
Q3: Why must temperature be in Kelvin?
A: The Arrhenius equation requires absolute temperature because it's derived from thermodynamic principles.
Q4: What's a typical range for first-order rate constants?
A: Rate constants vary widely but often fall between 10⁻⁶ to 10⁶ s⁻¹ depending on the reaction and conditions.
Q5: Can I use this for non-first-order reactions?
A: No, this calculator is specifically for first-order reactions. Different forms of the Arrhenius equation exist for other reaction orders.