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 third substance at tme 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.A1 ,B1 are the initial amounts of the reactants.
1) construct a suitable differential equation to express the rate of formation of z.
2) If the substances A and B combine in the ratio 2:3 to form Z.When 45g of Aand 60g of B are mixed together , 50 g of Z are formed in 5 minutes. How many grams of Z will be formed in 210 minutes

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 third substance at tme 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.A1 ,B1 are the initial amounts of the reactants.
1) construct a suitable differential equation to express the rate of formation of z.
2) If the substances A and B combine in the ratio 2:3 to form Z.When 45g of Aand 60g of B are mixed together , 50 g of Z are formed in 5 minutes. How many grams of Z will be formed in 210 minutes