The gas-phase reaction obeys the rate law

CHEMISTRY · Single correct · A Level · Chemistry · Rate equations · Rate equations

Problem

The gas-phase reaction A+2B+C→productsA + 2B + C \to \text{products} obeys the rate law rate=k[A]2[B][C]0\text{rate} = k[A]^2[B][C]^0. In Experiment 1, the initial rate is 2.0×10−5 M⋅s−12.0\times 10^{-5}\,\text{M}\cdot\text{s}^{-1} when [A]=0.10 M[A]=0.10\,\text{M}, [B]=0.20 M[B]=0.20\,\text{M}, and [C]=0.50 M[C]=0.50\,\text{M} at 25 ∘C25\,^\circ\text{C}. In Experiment 2, the temperature is raised slightly, but kk is assumed unchanged over this small range. Simultaneously, [A][A] is tripled, [B][B] is halved, and CC is omitted from the reaction mixture. What is the predicted initial rate in Experiment 2? (a) 3.0×10−5 M⋅s−13.0\times 10^{-5}\,\text{M}\cdot\text{s}^{-1} (b) 4.5×10−5 M⋅s−14.5\times 10^{-5}\,\text{M}\cdot\text{s}^{-1} (c) 9.0×10−5 M⋅s−19.0\times 10^{-5}\,\text{M}\cdot\text{s}^{-1} (d) 1.8×10−4 M⋅s−11.8\times 10^{-4}\,\text{M}\cdot\text{s}^{-1}

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