4. Consider the reaction: \( 2 \mathrm{~A}+\mathrm{B}(R) \) products The tentative rate law is: rate \( =\mathrm{k}[\mathrm{A}]^{x}[\mathrm{~B}]^{y} \) 2 experiments were performed. For Exp. 1: \( [\mathrm{A}]_{0}= \) \( 1.000 \times 10^{-3} \mathrm{M} ;[\mathrm{B}]_{0}=1.00 \mathrm{M} \) For Exp. 2: \( [\mathrm{A}]_{0}=1.000 \times 10^{-3} \mathrm{M} ;[\mathrm{B}]_{0}=0.50 \mathrm{M} \quad \) The conc of A was tracked. This is an isolation experiment which simplifies the determination of the rate law.
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Consider the hypothetical reaction $$A+B+2 C \longrightarrow 2 D+3 E$$ In a study of this reaction three experiments were run at the same temperature. The rate is defined as $-\Delta[\mathrm{B}] / \Delta t$ Experiment I: $$[\mathrm{A}]_{()}=2.0 \mathrm{M} \quad[\mathrm{B}]_{()}=1.0 \times 10^{-3} \mathrm{M} \quad[\mathrm{C}]_{()}=1.0 \mathrm{M}$$Experiment 2: $$[\mathrm{A}]_{()}=1.0 \times 10^{-2} \mathrm{M} \quad[\mathrm{B}]_{()}=3.0 \mathrm{M} \quad[\mathrm{C}]_{()}=1.0 \mathrm{M}$$Experiment 3: $$[\mathrm{A}]_{()}=10.0 \mathrm{M} \quad[\mathrm{B}]_{()}=5.0 \mathrm{M} \quad[\mathrm{C}]_{()}=5.0 \times 10^{-1} \mathrm{M}$$Write the rate law for this reaction, and calculate the value of the rate constant.
The experimental data for the reaction $2 \mathrm{~A}+\mathrm{B}_{2} \longrightarrow 2 \mathrm{AB}$ is $10.2$ Table \begin{tabular}{llll} \hline Exp. & [A] & [B_ ] & Rate $\left(\mathrm{Ms}^{-1}\right)$ \\ \hline 1. & $0.50 \mathrm{M}$ & $0.50 \mathrm{M}$ & $1.6 \times 10^{-4}$ \\ $2 .$ & $0.50 \mathrm{M}$ & $1.00 \mathrm{M}$ & $3.2 \times 10^{-4}$ \\ $3 .$ & $1.00 \mathrm{M}$ & $1.00 \mathrm{M}$ & $3.2 \times 10^{-4}$ \\ \hline \end{tabular} the rate equation for the above data is (a) rate $=\mathrm{k}\left[\mathrm{B}_{2}\right]$ (b) rate $=k\left[\mathrm{~B}_{2}\right]^{2}$ (c) rate $=k[\mathrm{~A}]^{2}[\mathrm{~B}]^{2}$ (d) rate $=k[\mathrm{~A}]^{2}[\mathrm{~B}]$
You are running the reaction $2 \mathrm{~A}+\mathrm{B} \longrightarrow \mathrm{C}+3 \mathrm{D}$. Your lab partner has conducted the first two experiments to determine the rate law for the reaction. He has recorded the initial rates for these experiments in another data table. Come up with some reactant concentrations for Experiment 3 that will allow you to determine the rate law by measuring the initial rate. $\begin{array}{lll}\text { Experiment } & \text { Concentration } & \text { Concentration } \\ \text { Number } & \text { of A }(\boldsymbol{M}) & \text { of } \boldsymbol{B}(\boldsymbol{M}) \\ 1 & 1.0 & 1.0 \\ 2 & 2.0 & 1.0 \\ 3 & & \end{array}$
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