Consider the reaction $$3 \mathrm{A}+\mathrm{B}+\mathrm{C} \longrightarrow
\mathrm{D}+\mathrm{E}$$ where the rate law is defined as
$$-\frac{\Delta[\mathrm{A}]}{\Delta
t}=k[\mathrm{A}]^{2}[\mathrm{B}][\mathrm{C}]$$ An experiment is carried out
where \([\mathrm{B}]_{0}=[\mathrm{C}]_{0}=1.00 \space M\) and
\([\mathrm{A}]_{0}=1.00 \times 10^{-4} \mathrm{M}\) a. If after \(3.00 \min
,[A]=3.26 \times 10^{-5} M,\) calculate the value of \(k\)
b. Calculate the half-life for this experiment.
c. Calculate the concentration of \(\mathrm{B}\) and the concentration of
A after 10.0 min.