A study was made to determine the activation energy EA for a chemical reaction. The rate constant k was determined as a function of temperature T, and the data in the table below obtained.
T, Kk, s-1
599...........................0.00054
629............................0.0025
647............................0.0052
666.............................0.014
683.............................0.025
700.............................0.064
The data should fit a linear model of the form log k = log A - EA / (2.303RT), where A is the pre-exponential factor and R is the gas constant.
(b) Find the slope, intercept, and standard error of the estimate.
(c) Noting that EA = -b x 2.303R x 1000, find the activation energy and its standard deviation (Use R = 1.987 cal mol-1 K-1).
(d) A theoretical prediction gave EA = 41.00 kcal mol-1K-1. Test the null hypothesis that EA is this value at the 95% confidence level.