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Question

How do you find the activation energy given two temperatures?


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Solution

Activation energy -

The amount of energy that needs to be supplied in order to proceed chemical reaction, it can also be determined by finding the rate constant of reaction at several different temperatures, therefore from the formula:

where, k is rate constant

Ea is the activation energy

R is gas constant

T is temperature in kelvin

A is pre-exponential factor

After applying logarithmic on both sides:

Now apply for reaction condition at two temperatures T1 and T2 which gives reaction rate constants at k1 and k2

11165_Chemistry_62a9b406798e53f2d8c3d171_EL_Endothermic_And_Exothermic_Reaction-22_034360_b.jpg

Now substract lnk2 from lnk1:

Therefore, from the above given formula, we can find activation energy form the two sets of values of rate constant and temperature.


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