NaClO _ 3 is used, even in spacecrafts, to produce O _ 2 . The...

${NaClO}_{3}$ is used, even in spacecrafts, to produce ${O}_{2} .$ The daily consumption of pure ${O}_{2}$ by a person in $492L$ at $1$ atm, $300K .$ How much amount of ${NaClO}_{3},$ in grams, is required to produce ${O}_{2}$ for the daily consumption of a person at $1$ atm, $300K$ ? _____

${NaClO}_{3}\left(s\right) + Fe\left(s\right) \to {O}_{2}\left(g\right) + NaCl\left(s\right) + FeO\left(s\right)$
$R = 0 .082 Latm{mol}^{- 1}{K}^{- 1}$

Correct answer

Step-by-step solution

Mol of ${NaClO}_{3}$ = Mol of ${O}_{2}$

Mol of ${O}_{2} = \dfrac{PV}{RT} = \dfrac{1 \times 492}{0 .082 \times 300} = 20mol$

Mass of ${NaClO}_{3}$ $= 20 \times 106 .5 = 2130g$

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