9. (12 points) (a) For the first order reaction, the differential equation for the concentration of the reactant A is dA

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9 12 Points A For The First Order Reaction The Differential Equation For The Concentration Of The Reactant A Is Da 1 (119.63 KiB) Viewed 39 times

9. (12 points) (a) For the first order reaction, the differential equation for the concentration of the reactant A is dA = k[A], dt where k is the rate constant. Solve this differential equation to obtain the expres- sion of [A]t at time t if the initial concentration is [A]o. Furthermore, express the half-life t1/2 in terms of the rate constant k. (b) Solve the first-order differential equation dy dx + xy - x = 0 (c) Solve the second-order differential equation dạy dx² dy dx - + 4 - 21y = 0