$14\mathrm{.}34$ The reaction $2$ ClOz$($aq$)+2$ OH $($aq$)$ C$10,($aq$)+$ CIO $($aq$)+$ HO$($l$)$ was studied with the following results:ExperimentC$1021$MInitial Rate $($M$/$s$)10\mathrm{.}0600\mathrm{.}0300\mathrm{.}024820\mathrm{.}0200\mathrm{.}0300\mathrm{.}0027630\mathrm{.}0200\mathrm{.}0900\mathrm{.}00828($a$)$ Determine the rate law for the reaction. $($b$)$ Calculate the rate constant with proper units.$($c$)$ Calculate the rate when $[$C$102]=0\mathrm{.}100$ M and $[$OH $]=0\mathrm{.}050.$