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In a reaction, $A + B \to$ Product,rate is doubled when the concentration of B is doubled and rate increases by a factor of 8, when the concentrations of both the reactants
( A and B) arc doubled. Rate law for the reaction can be written as

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$rate = k [A] [B]$

$rate = k [A]^{2} [B]$

$rate = k [A] [B]^{2}$

$rate = k [A]^{2} [B]^{2}$

answer is D.

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$rate = k [A]^{2} [B]$

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