Concept explainers
Chemical rate equations Let y(t) be the concentration of a substance in a chemical reaction (typical units are moles/liter). The change in the concentration, under appropriate conditions, is modeled by the equation
- a. Show that for a first-order reaction (n = 1), the concentration obeys an exponential decay law.
- b. Solve the initial value problem for a second-order reaction (n = 2) assuming y(0) = y0.
- c. Graph the concentration for a first-order and second-order reaction with k = 0.1 and y0 = 1
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