d TG
½ =dt ¼ k 2 DG
½ E
½
The rate of formation of alcohol is
d A
½ =dt ¼ k 2 DG
½ E
½
For forward chemical reaction (6.2):
The rate of decomposition of diglyceride is
Àd DG
½ =dt ¼ k 3 DG
½ A
½
The rate of decomposition of alcohol is
Àd A
½ =dt ¼ k 3 DG
½ A
½
The rate of formation of monoglyceride (MG) is
d MG
½
=dt ¼ k 3 DG
½ A
½
The rate of formation of ester is
d E
½ =dt ¼ k 3 DG
½ A
½
For backward chemical reaction (6.2):
The rate of decomposition of monoglyceride is
Àd MG
½
=dt ¼ k 4 MG
½
E
½
The rate of decomposition of ester is
Àd E
½ =dt ¼ k 4 MG
½
E
½
The rate of formation of diglyceride is
d DG
½ =dt ¼ k 4 MG
½
E
½
The rate of formation of alcohol is
d A
½ =dt ¼ k 4 MG
½
E
½
For forward chemical reaction (6.3):
The rate of decomposition of monoglyceride is
6 Process Modelling and Simulation of Biodiesel Synthesis Reaction for Non-edible. . .
151
½ =dt ¼ k 2 DG
½ E
½
The rate of formation of alcohol is
d A
½ =dt ¼ k 2 DG
½ E
½
For forward chemical reaction (6.2):
The rate of decomposition of diglyceride is
Àd DG
½ =dt ¼ k 3 DG
½ A
½
The rate of decomposition of alcohol is
Àd A
½ =dt ¼ k 3 DG
½ A
½
The rate of formation of monoglyceride (MG) is
d MG
½
=dt ¼ k 3 DG
½ A
½
The rate of formation of ester is
d E
½ =dt ¼ k 3 DG
½ A
½
For backward chemical reaction (6.2):
The rate of decomposition of monoglyceride is
Àd MG
½
=dt ¼ k 4 MG
½
E
½
The rate of decomposition of ester is
Àd E
½ =dt ¼ k 4 MG
½
E
½
The rate of formation of diglyceride is
d DG
½ =dt ¼ k 4 MG
½
E
½
The rate of formation of alcohol is
d A
½ =dt ¼ k 4 MG
½
E
½
For forward chemical reaction (6.3):
The rate of decomposition of monoglyceride is
6 Process Modelling and Simulation of Biodiesel Synthesis Reaction for Non-edible. . .
151