At the reaction is first order in A and second order in B

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

Problem

At 285 K285\,\text{K} the reaction A(aq)+B(aq)→ProductsA(\text{aq}) + B(\text{aq}) \rightarrow \text{Products} is first order in A and second order in B. The following initial-rate measurement is obtained.
Trial[A]0[A]_0 (M)[B]0[B]_0 (M)Initial rate (mol L−1 s−1\text{mol}\,\text{L}^{-1}\,\text{s}^{-1})
10.0800.0106.4×10−96.4 \times 10^{-9}
(a) Write the full rate law, including the rate constant. (b) Calculate the value of kk in scientific notation and state its units. (c) The numerical magnitude of kk at 285 K285\,\text{K} is considerably smaller than 1. Explain what this indicates about the relative speed of the reaction at that temperature, and discuss one experimental challenge that arises when measuring such slow kinetics.

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