According to the Arrhenius equation,

Engineering

Chemistry

Arrhenius Equation

Question

the pre-exponential factor is a measure of the rate at which collisions occur, irrespective of their energy.

a high activation energy usually implies a fast reaction

rate constant increases with increase in temperature, This is due to a greater number of collisions whose energy exceeds the activation energy.

higher the magnitude of activation energy, stronger is the temperature dependence of the rate constant.

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The Arrhenius equation describes how the rate constant (k) depends on temperature (T) and activation energy (E_a):

$k = A e^{\frac{- E_{a}}{R T}}$

A higher E_a means the exponential term is more sensitive to temperature changes, making k more temperature-dependent. The pre-exponential factor (A) relates to the collision frequency. The rate increases with temperature because more molecules possess the necessary energy to overcome E_a.

Final Answer: higher the magnitude of activation energy, stronger is the temperature dependence of the rate constant.