Question

Identify the correct representation of Arrhenius equation from following.

• A. \(k=A\cdot e^{E_{a}/T}\)
• B. \(k=A\cdot e^{E_{a}/RT}\)
• C. \(k=A\cdot e^{-E_{a}/R}\)
• D. \(k=A\cdot e^{-E_{a}/RT}\)

Hint:

The rate constant decreases exponentially with the activation energy divided by RT.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept
The Arrhenius equation links the rate constant \(k\) with absolute temperature \(T\) and activation energy \(E_a\).

Step 2: Recall the equation
\(k=A\,e^{-E_a/RT}\), where \(A\) is the frequency (pre-exponential) factor and \(R\) is the gas constant.

Step 3: Compare the options
The exponent must contain \(-E_a/RT\), with both \(R\) and \(T\) in the denominator and a negative sign. Only one option has this form.

Final Answer:
The Arrhenius equation is k = A e to the power minus Ea over RT. \[ \boxed{\text{(D) }k=A\cdot e^{-E_{a}/RT}} \]