The rate consnt for a reaction is measured as a function of temperature. A plot of ln k versus 1/T is linear and has s slope of -1.01 x 1-^4K. Calculate the activation energy for the reaction

Answer : The activation energy for the reaction is,

Explanation :

According to the Arrhenius equation,

Taking logarithm on both side, we get:

where,

= activation energy for the reaction

R = gas constant = 8.314 J/mole.K

T = temperature

K = rate constant

A = pre-exponential factor

The linear equation expression is:

y = mx + c

Plot of ln (K) versus (1/T) gives a straight line with a slope is equal to,

As we are given that:

Slope =

So,

Thus, the activation energy for the reaction is,