A batch reactor is used to produce a reaction that has a rate equation of -d[A]/dt = k[A]^2, where [A] is the concentration of reactant A, t is time, and k is the reaction rate constant. If the initial concentration of reactant A is 1 mol/L and the final concentration of reactant A is 0.5 mol/L after 10 minutes, determine the value of the reaction rate constant, k.

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