The rate of the reaction $2\mathrm{NO}+{\mathrm{O}}_2\to 2{\mathrm{NO}}_2$ at ${25}^{°}\mathrm{C} \mathrm{is} 0.028 \mathrm{mol} {\mathrm{L}}^{-1}{\mathrm{S}}^{-1}.$The experimental rate is given by $\mathrm{r}=\mathrm{K}{\left[\mathrm{NO}\right]}^2\left[{\mathrm{O}}_2\right].$ If the initial concentrations of the reactants are $\left[{\mathrm{O}}_2\right]=0.040 mol L^{-1} and \left[NO\right]=0.01 mol.L^{-1},$the rate constant of the reaction is