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AP Chemistry
5.3 Concentration Changes Over Time
IntermediateMCQGraphicalMathematical17.1k
Plot of \(\dfrac{1}{[\text{NO}_2]}\) versus time for the decomposition of \(\text{NO}_2\text{(g)}\) at \(573\text{ K}\).
Plot of \(\dfrac{1}{[\text{NO}_2]}\) versus time for the decomposition of \(\text{NO}_2\text{(g)}\) at \(573\text{ K}\).
A student investigates the kinetics of the gas-phase decomposition of \(\text{NO}_2\text{(g)}\) at a constant temperature of \(573\text{ K}\) according to the following equation:

\[ 2\text{NO}_2\text{(g)} \rightarrow 2\text{NO(g)} + \text{O}_2\text{(g)} \]

The student measures the concentration of \(\text{NO}_2\text{(g)}\) over time and plots \(\dfrac{1}{[\text{NO}_2]}\) as a function of time, as shown in the graph below.

Based on the graph, what is the value of the rate constant, \(k\), for the reaction?

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