A self-contained breathing apparatus uses potassiumsuperoxide, KO 2 to convert t

Question

A self-contained breathing apparatus uses potassiumsuperoxide, KO2 to convert the carbon dioxide and waterin exhaled air into oxygen, as shown by this equation.              4KO2(s) + 4 CO2(g) + 2H2O(g) ----> 4KHCO3(s) + 3O2(g) How many molecules of oxygen gas will be produced from the0.0468 g of carbon dioxide that is exhaled in a typical breath?Please EXPLAIN your answer. A self-contained breathing apparatus uses potassiumsuperoxide, KO2 to convert the carbon dioxide and waterin exhaled air into oxygen, as shown by this equation.              4KO2(s) + 4 CO2(g) + 2H2O(g) ----> 4KHCO3(s) + 3O2(g) How many molecules of oxygen gas will be produced from the0.0468 g of carbon dioxide that is exhaled in a typical breath?Please EXPLAIN your answer.

Explanation / Answer

The coefficients in the (balanced) equation say that for every 4moles of CO2(g) consumed, 3 moles of O2(g)will be produced, or ¾ as many O2 molecules areproduced as CO2 molecules consumed. Since one moleof CO2 has the mass = 44 g (12 + 2x 16), 0.468 grams ofCO2 is 0.0468 / 44 of one mole. One mole is 6.021023 particles, so 0.468/44 of one mole is 0.0468/44 x 6.02 1023 particles (ofCO2). This will produce ¾ as manyO2 molecules, or ¾ x 0.0468/44 x 6.021023 particles = 4.80 1020 particles(molecules of O2)

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