The activation energy of a reaction can be determined from the slope of which of the following graphs?
(a) In K vs T
(b) In K/T vs T
(c) In K vs 1/T
(d) T/In K vs 1/T
By arrhenius equation K = Ae-Ea/RT
where, Ea = energy of activation
Applying log on both the side,
in K = inA - Ea/RT ...(i)
or log k= - Ea/2303RT + logA ....(ii)
This equation is of the form of y = mx+c i.e. the equation of a straight line. Thus, if a plot of log k vs 1/T is a straight line, the validity of the equation is confirmed.
Slope of the line = Ea/2.303R
Thus measuring the slope of the line, the value of Ea can be calculated .