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The data from a study of the decomposition of NO2(g) to form NO(g) and O2(g) are given in the table above. Which of the following rate laws is consistent with the data?

The data from a study of the decomposition of NO2(g) to form NO(g) and O2(g) are given in the table above. Which of the following rate laws is consistent with the data?

Solution:

We need to recognize what order this reaction is.
Key facts to remember!
For the first order reactions, the graph of (ln of concentration of reactant) over time should be linear.
For a second order reaction a graph of (1/concentration of reactant) over time should be linear.
For the zeroth order reaction, a graph of (concentration of reactant) over time should be linear.
A linear graph means that the slope stays the same, and the increase over time is the same. Looking at the last column, we can see that 1/[NO2] changes from 2 to 2.75 to 3.5, which are all 0.75 increments. This signifies a linear increase over time.
Since last column is 1/[NO2] versus time, this represents a second order reaction. Order is the power of NO2.
Choice B is the correct answer.

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