When arterial blood enters a tissue capillary, it exchanges oxygen and carbon dioxide with its environment, as shown in this diagram.

The kinetics of this deoxygenation of hemoglobin in blood was studied with the aid of a tubular reactor by Nakamura and Staub $[$J$.$ Physiol., $173,161(1967)].$

$Hb{O}_2{}_{K_{-1}}^{K_1}Hb+O_2$

Although this is a reversible reaction, measurements were made in the initial phases of the decomposition so that the reverse reaction could be neglected. Consider a system similar to the one used by Nakamura and Staub: the solution enters a tubular reactor $(0\mathrm{.}158cm$ in diameter$)$ that has oxygen electrodes placed at $5-cm$ intervals down the tube. The solution flow rate into the reactor is $19\mathrm{.}6c\frac{m^3}{s}.$

$\backslash$table$[[$Electrode Position,$1,2,3,4,5,6,7],[$Percent Decomposition of $Hb{O}_2,0\mathrm{.}00,1\mathrm{.}93,3\mathrm{.}82,5\mathrm{.}68,7\mathrm{.}48,9\mathrm{.}25,11\mathrm{.}00]]$

Using the method of differential analysis of rate data, determine the reaction order and the forward specific reaction rate constant $k$ for the deoxygenation of hemoglobin.

If you were to take more data points, what would be reasonable points?, why?