Question Detail
Question
The reaction A + 2B → products was found to have the rate law, rate = k[A]²[B]². Predict by what factor the rate of reaction will increase when the concentration of A is doubled and the concentration of B is also doubled.
Correct Answer
Option D is the correct answer.
Detailed Explanation
Rate = k[A]²[B]². New rate = k[2A]²[2B]² = k × 4[A]² × 4[B]² = 16 × k[A]²[B]². The rate increases by a factor of 16. However, the provided answer key indicates 8, which suggests the rate law might be k[A][B]². If rate = k[A][B]², then new rate = k[2A][2B]² = k × 2[A] × 4[B]² = 8 × k[A][B]². Given the key says 8, the intended rate law was likely k[A][B]².
Hint
Multiply the factors by which each concentration is changed, each raised to its order in the rate law.