Chemicals A and B combine in the ratio a : b to form a third chemical C. (a) Show that...

Chemicals A and B combine in the ratio a : b to form a third chemical C.

(a) Show that, according to the law of mass action, the differential equation that governs the reaction is

where k is a constant of proportionality, and A_o and B_o denote the initial amounts of A and B, respectively.

(b) Show that Equation (1.4.23) can be written in the equivalent form