The decomposition of the organic compound acetaldehyde can be expressed by the reaction below:

CH₃CHO → CH₄ + CO

The rate constants for the reaction at various temperatures are found in the table below:

k	T (K)	ln k	1/T
0.011	700	-4.51	0.00143
0.035	730	-3.35	0.00137
0.105	760	-2.25	0.00132
0.343	790	-1.07	0.00127
0.789	810	-0.237	0.00123

The value of the slope on this graph is equal to -E_a/R. That means we can find E_a in this way:

E_a = -8.31 J/mol·K (-21600/K) = 1.79 x 10⁵ J/mol or 179 kJ/mol