According to Arrhenius equation rate constant K is equal to A `e.^(-E_(a)//RT)` . Which of the following options represents the graph of ln K vs `(1)/(T)`?

Options

A.
B.
C.
D.

Answer

A

Explanation

According to Arrhenius equation, `k = ae^(-E_(a)//RT)`
Taking on both side In k = In `A -(E_(a))/(RT)`
`In K = In A-(E_(a))/(RT)`
`In K =- (-E_(a))/(R) xx (1)/(T) + In A`
`y = m x + c`
This equation can be related to to equation of straing line as shown above.
From the graph, it is very clear that slpoe of the plot `= (-E_(a))/(R)` and intercept = In A.