Kinetics of Transesterification of Croton megalocarpus Oil Using Alkaline Earth Catalysts with Conventional and Microwave Heating

Table 1

Integrated form of rate equation (equation (7)).

Case	Overall order	m	n	Rate equation	Equation number
1	0	0	0	[A]oxA = k t	8
2	1	1	0	ln(1/(1−xA)) = k t	9
3	1	0	1	−(1/3)ln((αB−3xA)/αB) = k t	10
4	2	1	1	(1/(αB−3))ln((αB−3xA)/(1−xA)αB) = k [A]ot	11
5	2	2	0	x A1/(1−xA) = k [A]ot	12
6	2	0	2	xA/((αB−3xA)αB) = k [A]ot	13
7	3	2	1	(1/(αB−3))[((xA/(1 − xA))−(3/(αB−3))ln((αB−3xA)/(1−xA)αB)] = k [A]o^2t	14
8	3	1	2	(1/(3−αB))[(3xA/((αB−3xA)αB)−(1/(3−αB))ln((1−xA)αB/(αB−3xA)] = k [A]o^2t	15
9	3	3	0	(2−xA)xA/(1−xA)^2 = 2 k [A]o^2t	16
10	3	0	3	1/(αB−3xA)^2−1/αB^2 = 6 k [A]o^2t	17