Rebreathing Devices In the first episode of George Lucas's...

Rebreathing Devices In the first episode of George Lucas's Star Wars series, Qui-Gon Jinn and Obi-Wan Kenobi can visit the underwater world of the Gungans only by using A99 Aquata Breathers, which allow them to survive underwater for up to two hours. While the tiny devices may be from the farfetched world of science fiction, current technology exists for transforming carbon dioxide to oxygen. These self-contained rebreathers are used by a select group of underwater cave explorers and can act as self-rescue devices. The chemistry is based on the following chemical reactions, using either potassium superoxide or sodium peroxide:$$\begin{array}{l}4 \mathrm{KO}_{2}(s)+2 \mathrm{CO}_{2}(g) \rightarrow 2 \mathrm{K}_{2}\mathrm{CO}_{3}(s)+3 \mathrm{O}_{2}(g) \\2 \mathrm{Na}_{2} \mathrm{O}_{2}(s)+2 \mathrm{CO}_{2}(g) \rightarrow 2 \mathrm{Na}_{2} \mathrm{CO}_{3}(s)+\mathrm{O}_{2}(g)\end{array}$$.a. The respiratory rate at rest for an average, healthy adult is 12 breaths per minute. If the average breath takes in $0.500 \mathrm{L}$ of $\mathrm{O}_{2}(d=1.429 \mathrm{g} / \mathrm{L})$ into the lungs, how many grams of $\mathrm{KO}_{2}$ are needed to produce enough oxygen for two hours underwater? b. Would you need more or less $\mathrm{Na}_{2} \mathrm{O}_{2}$ to produce an equivalent amount of oxygen? c. Given the densities of $\mathrm{KO}_{2}(2.14 \mathrm{g} / \mathrm{mL})$ and $\mathrm{Na}_{2} \mathrm{O}_{2}$ $(2.805 \mathrm{g} / \mathrm{mL}),$ which solid material would occupy less volume in a rebreather device?

Rebreathing Devices In the first episode of George Lucas's Star Wars series, Qui-Gon Jinn and Obi-Wan Kenobi
can visit the underwater world of the Gungans only by using A99 Aquata Breathers, which allow them to survive underwater for up to two hours. While the tiny devices may be from the farfetched world of science fiction, current technology exists for transforming carbon dioxide to oxygen. These self-contained rebreathers are used by a select group of underwater cave explorers and can act as self-rescue devices. The chemistry is based on the following chemical reactions, using either potassium superoxide or sodium peroxide:$$\begin{array}{l}4 \mathrm{KO}_{2}(s)+2 \mathrm{CO}_{2}(g) \rightarrow 2 \mathrm{K}_{2}\mathrm{CO}_{3}(s)+3 \mathrm{O}_{2}(g) \\2 \mathrm{Na}_{2} \mathrm{O}_{2}(s)+2 \mathrm{CO}_{2}(g) \rightarrow 2 \mathrm{Na}_{2} \mathrm{CO}_{3}(s)+\mathrm{O}_{2}(g)\end{array}$$.a. The respiratory rate at rest for an average, healthy adult is 12 breaths per minute. If the average breath takes in $0.500 \mathrm{L}$ of $\mathrm{O}_{2}(d=1.429 \mathrm{g} / \mathrm{L})$ into the lungs, how many
grams of $\mathrm{KO}_{2}$ are needed to produce enough oxygen for two hours underwater?
b. Would you need more or less $\mathrm{Na}_{2} \mathrm{O}_{2}$ to produce an equivalent amount of oxygen?
c. Given the densities of $\mathrm{KO}_{2}(2.14 \mathrm{g} / \mathrm{mL})$ and $\mathrm{Na}_{2} \mathrm{O}_{2}$
$(2.805 \mathrm{g} / \mathrm{mL}),$ which solid material would occupy less volume in a rebreather device?

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