Question

Use the exponential term in the Arrhenius equation to explain how temperature affects reaction rate.

Answer 1

The Arrhenius equation describes the relation between the rate of reaction and temperature for many physical and chemical reactions

It is an expression that provides a relationship between the rate constant (of a chemical reaction), the absolute temperature.

The Arrhenius equation,

k = $zpe^{\frac{- Ea}{RT} }$, where

k is the rate constant,

z is the collision factor,

p is the steric factor,

Ea is the activation energy,

R = 8.3245 $\frac{J}{mol. K}$ is the ideal gas constant, and,

T is the temperature.

The activation energy by definition, is the minimum energy (or threshold energy) required for two particles of reactants upon collision to form products.

The Arrhenius equation could also be written as:

⇒ k = $Ae\frac{-Ea}{RT}$, where

⇒ A = zp, the Arrhenius factor.

Taking the neutral logarithm of both parties, we get:

⇒ In k = $\frac{-Ea}{RT}\frac{(1)}{(T)}$ + In A,

Assuming that, A is independent of temperature, when T is increased, the equilibrium constant k will also increase and therefore, the rate of the reaction will also increase.

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