initial-rate data at a certain temperature is given in the table for the reaction

\\mathrm{c_2h_5cl(g) \longrightarrow c_2h_4(g) + hcl(g)}\

\begin{tabular}{|c|c|}
\hline
$\mathrm{c_2h_5cl}_0$ (m) & initial rate (m/s) \\
\hline
0.100 & $0.840 \times 10^{-30}$ \\
\hline
0.200 & $1.68 \times 10^{-30}$ \\
\hline
0.300 & $2.52 \times 10^{-30}$ \\
\hline
\end{tabular}

determine the value and units of the rate constant.

$k =$

units:

Question

initial-rate data at a certain temperature is given in the table for the reaction

\\mathrm{c_2h_5cl(g) \longrightarrow c_2h_4(g) + hcl(g)}\

\begin{tabular}{|c|c|}
\hline
$\mathrm{c_2h_5cl}_0$ (m) & initial rate (m/s) \\
\hline
0.100 & $0.840 \times 10^{-30}$ \\
\hline
0.200 & $1.68 \times 10^{-30}$ \\
\hline
0.300 & $2.52 \times 10^{-30}$ \\
\hline
\end{tabular}

determine the value and units of the rate constant.

$k =$

units:

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Reaction Order", "Rate Law" ], "new_concepts": [ "Rate Constant Calculation" ], "current_concepts": [ "Reaction Order", "Rate Law", "Rate Constant Calculation" ] } ## Determine the reaction order $$ \begin{aligned} &\text{Rate} = k [\text{C}_2\text{H}_5\text{Cl}]^n \ &\frac{\text{Rate}_2}{\text{Rate}_1} = \frac{1.68 \times 10^{-30}}{0.840 \times 10^{-30}} = 2 \ &\frac{[\text{C}_2\text{H}_5\text{Cl}]_2}{[\text{C}_2\text{H}_5\text{Cl}]_1} = \frac{0.200}{0.100} = 2 \ &2^n = 2 \implies n = 1 \end{aligned} $$ ## Calculate the rate constant value $$ \begin{aligned} &k = \frac{\text{Rate}}{[\text{C}_2\text{H}_5\text{Cl}]} \ &k = \frac{0.840 \times 10^{-30}\text{ M/s}}{0.100\text{ M}} = 8.40 \times 10^{-30} \end{aligned} $$ ## Determine the units of the rate constant $$ \begin{aligned} &\text{units of } k = \frac{\text{M/s}}{\text{M}} = \text{s}^{-1} \end{aligned} $$ $k =$ $8.40 \times 10^{-30}$ units: $\text{s}^{-1}$ { "subject": "Natural Science", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Natural Science", "Chemistry", "Chemical Kinetics" ] }

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QUESTION IMAGE

Question

Explanation:

Determine the reaction order

Calculate the rate constant value

Determine the units of the rate constant

Answer: