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A second-order reaction of the type A + 2 B --> P was carried out in a solution that was initially 0.05 mol.dm^-3 in A and 0.03 mol.dm^-3 in B. After 1 hour the concentration of A was fallen to 0.01 mol.dm^-3. (a) Calculate the rate constant. (b) What is the half-life of the reactants?