Two chemical substances A and B react in the ratio a : b to form a third substance Z. If z(t) is the amount of the third substance at time t. The rate of formation of Z is proportional to the product of the amounts of two components A and B which have not yet combined together. A0,B0 are the initial amounts of the reactants.

(a) Construct a suitable diﬀerential equation to express the rate of forma- tion of z

Question

Two chemical substances A and B react in the ratio a : b to form a third substance Z. If z(t) is the amount of the third substance at time t. The rate of formation of Z is proportional to the product of the amounts of two components A and B which have not yet combined together. A0,B0 are the initial amounts of the reactants. 


(a) Construct a suitable diﬀerential equation to express the rate of forma- tion of z

anonymous · Answer

flutter I had differential equations last semester

anonymous · Answer

im pretty sure it would be dz/dt=kAB....where k is a constant and A and B are the amounts of substance 1 and 2 at a certain time