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Many reactions are of the form:

dCA/dt = kCA


dCA/dt is the change in concentration of A with time

k is the reaction rate constant
CA is the concentration of A

The rate constant often exhibits an Arrhenius relationship, so:

k=Ae^(-Ea/RT)

A is a pre-exponential term (constant)
Ea is the activation energy of the reaction (constant)
R is the universal gas constant (constant)
T is the temperature of the reaction

Therefore, as T increases, the value of the exponential term increases. This means that k will increase as T increases, and therefore dCA/dt will increases as T increases.

Hope that helps!
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