The rate constant for the decomposition of ozone following second-order kinetics is 5 Γ 10^-4 l mol^ β Chemical Kinetics Chemistry Question
Question
The rate constant for the decomposition of ozone following second-order kinetics is 5 Γ 10^-4 l mol^-1 s^-1 at a certain temperature. The rate of reaction (in terms of number of molecules decomposed per ml per minute, when concentration of ozone is 2 Γ 10^-8 M, is (N_A = 6 Γ 10^23)
Answer: 07200
π‘ Solution & Explanation
Rate = k[O3]^2 = 5 Γ 10^-4 Γ (2 Γ 10^-8)^2 = 2 Γ 10^-19 mol L^-1 s^-1. To convert to molecules ml^-1 min^-1: Rate = 2 Γ 10^-19 Γ (1/1000) Γ 60 Γ (6 Γ 10^23) = 2 Γ 10^-19 Γ 0.06 Γ 6 Γ 10^23 = 7200 molecules ml^-1 min^-1. Therefore, correct answer is 07200.
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