The following data are for the reaction \(2 \mathrm{A}+\mathrm{B}
\longrightarrow\) products. Establish the order of this reaction with respect
to A and to B.
$$\begin{array}{cccc}
\hline \text { Expt 1, }[\mathrm{B}]=1.00 \mathrm{M} & & {\text { Expt 2,
}[\mathrm{B}]=0.50 \mathrm{M}} \\
\hline \begin{array}{cccc}
\text { Time, } \\
\text { min }
\end{array} & \begin{array}{c}
\text { [A], M } \\
\end{array} & \text { Time, }
\text { min } &\text { [A], M } \\
\hline 0 & 1.000 \times 10^{-3} & 0 & 1.000 \times 10^{-3} \\
1 & 0.951 \times 10^{-3} & 1 & 0.975 \times 10^{-3} \\
5 & 0.779 \times 10^{-3} & 5 & 0.883 \times 10^{-3} \\
10 & 0.607 \times 10^{-3} & 10 & 0.779 \times 10^{-3} \\
20 & 0.368 \times 10^{-3} & 20 & 0.607 \times 10^{-3} \\
\hline
\end{array}$$