The activation energy of a reaction can be determined from the slope of which of the following graphs ?

Options

A. in `K vs T`
B. `("in" K)/(T) vs T `
C. in K vs `(i)/(T)`
D. `(T)/("in"K)vs (I)/(T)`

Answer

C

Explanation

By Arrhenius equation
`K=Ae^(-Ea//RT)`
where,`E_(a)`= energy of activation
Apply log on both the side .
`"in" K="in" A-(E_(a))/(RT)`.. . (i)
` or log K=-(E_(a))/(2303RT)+log A`
compare the above equation W.r.t straight line equation of y=mx +c thus ,if a plote of in k vs `(1)/(T)` is a straight line , the validity of the equation is confirmed
SLope of the `=-(E_(a))/(R)`
thus measuring the slope of the line , the value of `E_(a)` can be calculated