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Temperature Dependance of Rate

The rate of a reaction depends on the prevailing temperature. Hence, the rate law is dependent on the temperature at which the reaction takes place. The reactants must attain a high energy form (transition state) in order for the reaction to occur. For this, the activated reactive species must collide (with feasible orientation) with each other with a minimum kinetic energy which is greater than that of the reactants. This kinetic energy depends on the temperature of the system in which the reaction takes place. At a particular temperature, some of the reactants will attain the activation energy to undergo the reaction. If we increase the temperature, more reactant molecules will attain this energy. More reactants attaining the required energy level means more reaction is taking place.
A mathematical relationship was introduced by Arrhenius. The expression relating the rate constant and the energy of activation is:



where k is the rate constant of the reaction,

Eais the activation energy,

R is the gas constant (8.31 J/mol.K), and

T is the temperature.

There is no need to memorize this equation, but you should understand how to work with the equation conceptually.

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