Solved: Chemical rate equations The reaction of chemical

Chapter 7, Problem 65

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Chemical rate equations The reaction of chemical compounds can often be modeled by differential equations. Let y1t2 be the concentration of a substance in reaction for t 0 (typical units of y are moles>L). The change in the concentration of the substance, under appropriate conditions, is dy dt = -kyn, where k 7 0 is a rate constant and the positive integer n is the order of the reaction. a. Show that for a first-order reaction 1n = 12, the concentration obeys an exponential decay law. b. Solve the initial value problem for a second-order reaction 1n = 22 assuming y102 = y0. c. Graph and compare the concentration for a first-order and second-order reaction with k = 0.1 and y0 = 1.