For the reaction B → products

CHEMISTRY · Single correct · AP · Chemistry · Kinetics · Kinetics

Problem

For the reaction B → products, the following concentration data were obtained at 25 °C. Time (min) 0 10 20 30 40 [B] (M) 0.120 0.086 0.062 0.045 0.033 Linear regressions gave the following results: • [B] vs time: slope = −0.0022 M min^{−1}, r = −0.976 • ln[B] vs time: slope = −0.028 min^{−1}, r = −0.998 • 1∕[B] vs time: slope = 0.62 M^{−1} min^{−1}, r = 0.952 Which conclusion is most strongly supported by these data? (a) The reaction is second order with k=6.2×10−1 M−1 min−1k = 6.2 \times 10^{-1}\ \text{M}^{-1}\,\text{min}^{-1}. (b) The reaction is first order with k=2.8×10−2 min−1k = 2.8 \times 10^{-2}\ \text{min}^{-1}. (c) The reaction is zero order with k=2.2×10−3 M min−1k = 2.2 \times 10^{-3}\ \text{M}\,\text{min}^{-1}. (d) The reaction is first order with k=3.6×10−2 min−1k = 3.6 \times 10^{-2}\ \text{min}^{-1}.

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