Question

The correct Mathematical expression of Arrhenius equation is:

• A. \( k = -Ae^{\frac{E_a}{RT}} \)
• B. \( k = e^{\frac{E_a}{RT}} \)
• C. \( k = Ae^{-\frac{E_a}{RT}} \)
• D. \( k = -Ae^{-\frac{E_a}{RT}} \)

Hint:

The Arrhenius equation provides insight into how the rate of a reaction depends on temperature and activation energy.

Answer 1

The Correct Option is C

The Arrhenius equation describes the temperature dependence of the rate constant (\(k\)) of a reaction. The correct mathematical expression is: \[ k = Ae^{-\frac{E_a}{RT}} \] Where: - \(k\) is the rate constant,
- \(A\) is the pre-exponential factor (frequency factor),
- \(E_a\) is the activation energy,
- \(R\) is the universal gas constant,
- \(T\) is the temperature in Kelvin.


Step 1: The equation shows that the rate constant increases with temperature, as the exponential factor becomes larger at higher temperatures.