The Arrhenius equation is given by k=Ae−Ea/RT.
Statement A: The factor e−Ea/RT represents the fraction of molecules having kinetic energy equal to or greater than the activation energy Ea. Thus, statement A is incorrect.
Statement B: From the equation, as Ea decreases, the value of k increases, leading to a faster reaction rate. Thus, statement B is correct.
Statement C: For many reactions, the temperature coefficient is approximately 2, meaning the rate of reaction doubles for every 10∘C rise in temperature. Thus, statement C is correct.
Statement D: Taking the natural logarithm of the Arrhenius equation, lnk=lnA−RTEa. Converting to base 10, logk=logA−2.303RTEa. A plot of logk vs T1 gives a straight line with slope =−2.303REa. The statement says slope =−REa, which is only true for a lnk vs T1 plot. Thus, statement D is incorrect.
Therefore, statements B and C are correct.