MEDIUMMCQ SINGLEIChO (Chemistry Olympiad)Physical ChemistryChemical kineticsRate Law

For the reaction A + B ⟶ C + D, doubling the concentration of both the reactants increases the reaction rate by 8 times and doubling the initial concentration of only B simply doubles the reaction rate. The rate law for the reaction is

A.r = k [A] [B]2
B.r = k [A] [B]
C.r = k [A]1/2 [B]
D.r = k [A]2 [B].✓ Correct
Explanation

Rate law, as per first condition, Given x y 1 x y 2 1 2 x y 1 x y 2 x 1 2 r 8r k 2A 2B r 2r k A 2B compaiting r &r k 2A 2B r 8r r 2r k A 2B r 4 2 r CHEMICAL KINETICS 8 x y 1 x y 1 x y x y 2 1 x 2 Alsor k A B Comparing r &r k 2A 2B r 8r r r k A B 2 8 x y 3 Thus, y 3 2 1 ratelaw k A B

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