Name: \( \qquad \)
Chapter 12 Kinetics Homework
Show all work for calculation questions and clearly mark your final answer. Any students who submit the same set-up and work (i.e., copy) will receive zero points on this assignment.
1) ( 10 pts ) a. Given the balanced equation: \( \mathrm{H}_{3} \mathrm{AsO}_{4}+3 \mathrm{KOH} \rightarrow 3 \mathrm{H}_{2} \mathrm{O}+\mathrm{K}_{3} \mathrm{AsO}_{4} \) and the data below, calculate the average rate of propane \( (\mathrm{KOH}) \) between 20.0 and 50.0 seconds.
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline Time, \( \mathbf{s} \) & 0.0 & 10.0 & 20.0 & 30.0 & 40.0 & 50.0 \\
\hline\( [\mathbf{K O H}], \mathbf{M} \) & 0.261 & 0.182 & 0.143 & 0.104 & 0.064 & 0.052 \\
\hline
\end{tabular}
b. Write the rate expression for this reaction.
c. Use the information in part a to calculate the rate of \( \mathrm{K}_{3} \mathrm{AsO}_{4} \) in this same time period.
d. What is the rate of this reaction between 20.0 and 50.0 seconds?
2) ( 10 pts) Use the table below to solve for the order of each reactant, the rate constant (with units), and the overall order of reaction. \( \mathbf{2 A}+\mathbf{B}+\mathbf{C} \rightarrow \mathbf{D}+\mathbf{2 E} \). Show all work (shortcuts are allowed, but must clearly indicate how you arrived at your answer).
\begin{tabular}{|c|c|c|c|c|}
\hline Trial & {\( [\mathbf{A}], \mathbf{M} \)} & {\( [\mathbf{B}], \mathbf{M} \)} & {\( [\mathbf{C}], \mathbf{M} \)} & Initial rate, M/s \\
\hline 1 & 0.273 & 0.763 & 0.400 & 3.00 \\
\hline 2 & 0.819 & 0.763 & 0.400 & 9.00 \\
\hline 3 & 0.273 & 1.526 & 0.400 & 12.0 \\
\hline 4 & 0.273 & 0.763 & 0.800 & 6.00 \\
\hline
\end{tabular}
order of A:
order of \( B \) :
order of C :
rate constant: \( \qquad \) overall order: \( \qquad \)