8. Consider a chemical reaction where one chemical (A) turns into a different chemical (B) and vice versa. Suppose that the total amount of chemical is constant, that is A(t) + B(t) - C, where C in a...

Extracted text: 8. Consider a chemical reaction where one chemical (A) turns into a different chemical (B) and vice versa. Suppose that the total amount of chemical is constant, that is A(t) + B(t) - C, where C in a positive constant. This reaction can be represented schematically as follows: A = B where the two positive constants kt and k- are called rate constants. The following differential equation describes how A changes with time dA = -k*A+kB dt Rewriting the constraint equation A+ B = C to B = C- A, eliminate B in the differential equation, and solve for A(t), given A(0) = Ag. (You answer will contain the positive constants kt, k-, Ao and C).