According to Arrhenius equation rate constant k is equal to Ae-Ea/RT. Which of the following options represents the graph of ln
?
Given: 
Taking ln on both sides we get
ln k = -
+ lnA ………. Equation 1
As know following Equation 1 represents the equation of line i.e. y=mx+c,
Where m is the slope of the graph and c is y-intercept on comparing with Equation 1 we get
y is ln k, x is 1/T, m is -Ea/R, c is ln A
since the slope is negative and there is a y-intercept only one graph follows that graph 1.
In graph 2 the slope is positive so it is incorrect.
In graph 3 the slope is positive so it is incorrect.
In graph 4 the slope is positive so it is incorrect.
1