Dinitrogen pentoxide,

CHEMISTRY · Multi-part · CBSE · Chemistry · Chemical Kinetics · Chemical Kinetics

Problem

\mathrm{N_2O_5}

, decomposes in carbon tetrachloride at

45\,^{\circ}\!\text{C}

according to the equation

\mathrm{2\,N_2O_5(g)\rightarrow 4\,NO_2(g)+O_2(g)}

. The concentration of

\mathrm{N_2O_5}

was monitored over a 2000\,s period; the results are shown below. Time (s) | 0 | 500 | 1000 | 1500 | 2000 :--|:--|:--|:--|:--|:--

[\mathrm{N_2O_5}]

(M) | 0.100 | 0.071 | 0.050 | 0.036 | 0.026 (a) Describe a systematic procedure that uses the data above to determine the order of the reaction with respect to

\mathrm{N_2O_5}

. Identify the reaction order indicated by the data. (b) Explain how the procedure you outlined in part (a) leads to the conclusion you reached about the reaction order. In your explanation reference the mathematical form of the linear relationship that emerges from the analysis. (c) Using the data, determine the numerical value of the rate constant

k

with appropriate units. Show all work, including any graphs or algebraic manipulations used to obtain

k

. Report

k

to three significant figures.

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