Consider the following hypothetical aqueous reaction: $\mathrm{A}(a q)
\rightarrow \mathrm{B}(a q)\(. A flask is charged with \)0.065 \mathrm{~mol}$ of
\(\mathrm{A}\) in a total volume of \(100.0 \mathrm{~mL}\). The following data are
collected:
$$
\begin{array}{lccccc}
\hline \text { Time (min) } & 0 & 10 & 20 & 30 & 40 \\
\hline \text { Moles of A } & 0.065 & 0.051 & 0.042 & 0.036 & 0.031 \\
\hline
\end{array}
$$
(a) Calculate the number of moles of \(\mathrm{B}\) at each time in the table,
assuming that there are no molecules of \(\mathrm{B}\) at time zero and that A
cleanly converts to B with no intermediates. (b) Calculate the average rate of
disappearance of A for each 10 -min interval in units of \(M /\) s. (c) Between
\(t=0 \mathrm{~min}\) and \(t=30 \mathrm{~min},\) what is the average rate of
appearance of \(\mathrm{B}\) in units of \(\mathrm{M} / \mathrm{s}\) ? Assume that
the volume of the solution is constant.