Solution: In an elementary chemical reaction, single molecules of two reactants A and B

Chapter 7, Problem 40

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In an elementary chemical reaction, single molecules of two reactants A and B form a molecule of the product C: . The law of mass action states that the rate of reaction is proportional to the product of the concentrations of A and B: dC dt kAB(See Example 4 in Section 3.8.) Thus, if the initial concentrations are A molesL and B molesL and we write C , then we havedx dt ka xb x(a) Assuming that , nd as a function of . Use the fact that the initial concentration of C is 0. (b) Find assuming that . How does this expression for simplify if it is known that after 20 seconds?

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