For the reaction A + B → P, doubling [A] doubles the rate; tripling [A] **and** doubling [B] multiplies the rate by 6. The reaction is:
A1st order in A, 0th order in B (overall 1)
B2nd order in A, 1st order in B (overall 3)
CZero order overall
D1st order in A, 1st order in B (overall 2)
Answer & Solution
Correct answer: D. 1st order in A, 1st order in B (overall 2)
From the first datum: order in A = 1. Tripling [A] alone would multiply rate by 3 (order 1). The full change [A]×3, [B]×2 multiplies rate by 6 = 3 × 2 ⇒ [B] doubling multiplies rate by 2 ⇒ order in B = 1. Overall order = 2.
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