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What is the effect of temperature on the...

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

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The rate constant is nearly doubled with a rise in temperature by `10^(@)` for a chemical reaction .
The temperature effect on the rate constant can be represented quantitatively by Arrhenius equation .
`k = Ae^(-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
`E_(a)` is the energy of activation for the reaction
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