A rebreathing gas mask contains potassium superoxide, \(\mathrm{KO}_{2}\), which
reacts with moisture in the breath to give oxygen.
$$
4 \mathrm{KO}_{2}(s)+2 \mathrm{H}_{2} \mathrm{O}(l) \longrightarrow 4
\mathrm{KOH}(s)+3 \mathrm{O}_{2}(g)
$$
Estimate the grams of potassium superoxide required to supply a person's
oxygen needs for one hour. Assume a person requires \(1.00 \times 10^{2}
\mathrm{kcal}\) of energy for this time period. Further assume that this energy
can be equated to the heat of combustion of a quantity of glucose,
\(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6},\) to \(\mathrm{CO}_{2}(g)\) and
\(\mathrm{H}_{2} \mathrm{O}(l)\). From the amount of glucose required to give
\(1.00 \times 10^{2} \mathrm{kcal}\) of heat, calculate the amount of oxygen
consumed and hence the amount of \(\mathrm{KO}_{2}\) required. The \(\Delta
H_{f}^{\circ}\) for glucose \((s)\) is \(-1273 \mathrm{~kJ} / \mathrm{mol}\).