In the reaction 2 NO_2 rightarrow 2 NO + O_2 given that the rate law is v = k [N

Question

In the reaction 2 NO_2 rightarrow 2 NO + O_2 given that the rate law is v = k [NO_2]^2 where v is the reaction rate or reaction velocity, calculate the rate coefficient rate constant), k, for the decomposition of nitrogen dioxide for a 0.039 M solution if the instantaneous rate of reaction is 1.3 times 10^-13 mol L^-1 s^-1. Insert answers in the form x.xE plusminus x and choose the appropriate units (worth 20%), from the drop down menu. Background reading: the Chemguide concentration dependence page (38kB) the Chemguide orders and mechanism page (28kB) Energy section Powerpoint lecture notes

Explanation / Answer

rate = K[NO2]2

K = rate / [NO2]2

K = 1.3 x 10-13 / [0.039]2

K = 1.3 x 10-13 / 0.001521

K = 8.55 x 10-11 M-1 s-1

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