For the second order reactions, the rate of the reaction "r" is proportional to the square of the concentration of the reactant "[A]" :
"r = -\\frac{d[A]}{dt} = k\u00b7[A]^2" .
Therefore, when the concentration of A is doubled, the rate would increase by 22=4, so it would quadruple.
Answer: if the concentration of A were doubled, the rate would quadruple (B).
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