Q22 of 37 Page 1

The rate of a reaction depends upon the temperature and is quantitatively expressed as

k = A e


i) If a graph is plotted between log k and 1/T, write the expression for the slope of the reaction?


ii) If at under different conditions Ea1 and Ea2 are the activation energy of two reactions. If Ea1 = 40 J / mol and Ea2 = 80 J / mol. Which of the two has a larger value of the rate constant?


Given, rate of a reaction depends upon the temperature and is expressed as


k = A e


Taking logarithm on both sides, we get



The equation is like . If the graph is plotted between y () and x (), the slope (m) can be calculated.



(i) So, slope is =


(ii) As the value of activation energy, EA increases, the value of rate constant, k decreases.


So if, EA1 (40 J / mol ) < EA2 (80 J / mol) then


k1>k2 respectively.


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