Question:

What is the effect of temperature on the rate constant of a reaction? How can this temperature effect on rate constant be represented quantitatively?

Updated On: Sep 28, 2023
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Solution and Explanation

The rate constant is nearly doubled with a rise in temperature by 10°C for a chemical reaction. 
The temperature effect on the rate constant can be represented quantitatively by Arrhenius equation,
\(k = Ae^{-\frac {E_a}{RT}}\)
where, 
k is the rate constant, 
A is the Arrhenius factor or the frequency factor, 
R is the gas constant, 
T is the temperature, and 
Ea is the energy of activation for the reaction

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Notes on Chemical Kinetics

Concepts Used:

Rate of a Chemical Reaction

The rate of a chemical reaction is defined as the change in concentration of any one of the reactants or products per unit time.

Consider the reaction A → B,

Rate of the reaction is given by,

Rate = −d[A]/ dt=+d[B]/ dt

Where, [A] → concentration of reactant A

[B] → concentration of product B

(-) A negative sign indicates a decrease in the concentration of A with time.

(+) A positive sign indicates an increase in the concentration of B with time.

Factors Determining the Rate of a Reaction:

There are certain factors that determine the rate of a reaction:

  1. Temperature
  2. Catalyst
  3. Reactant Concentration
  4. Chemical nature of Reactant
  5. Reactant Subdivision rate