The gaseous decomposition of compound X proceeds by the elementary reaction…

CHEMISTRY · Multi-part · A Level · Chemistry · Rate equations · Rate equations

Problem

The gaseous decomposition of compound X proceeds by the elementary reaction X2→2X\mathrm{X_2}\rightarrow 2\mathrm{X} Initial-rate data were collected at 300 K300\,\text{K} and are summarized below.
Experiment[X2]0 (M)[\mathrm{X_2}]_0\,(\text{M})Initial rate (M⋅s−1\text{M}\cdot\text{s}^{-1})
10.0201.4×10−41.4 \times 10^{-4}
20.0405.6×10−45.6 \times 10^{-4}
30.0601.3×10−31.3 \times 10^{-3}
Use the data to develop a quantitative rate expression. (1) Part 1: Determine the order of the reaction with respect to X2\mathrm{X_2}, showing your numerical reasoning. (2) Part 2: Write the complete rate law, including the rate constant, and state the overall reaction order. (3) Part 3: Calculate the numerical value and units of the rate constant kk at 300 K300\,\text{K} using the data from any one experiment. Explain how you selected the appropriate units. (4) Part 4: Predict the initial rate (in M⋅s−1\text{M}\cdot\text{s}^{-1}) when [X2]0=0.090 M[\mathrm{X_2}]_0 = 0.090\,\text{M}.

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