For the reaction shown, calculate how many grams of oxygen form when each quantity of reactant completely reacts.
2 KClO3(s) → 2 KCl(s) + 3 O2(g)
a. 2.72 g KClO3
b. 0.361 g KClO3
c. 83.6 kg KClO3
d. 22.5 mg KClO3

Respuesta :

Explanation:

Molar mass of [tex]KClO_{3}[/tex] = 39.1 + 35.5 + 3(16.0) = 122.6 g

Molar mass of KCl = 39.1 + 35.5 = 74.6 g

Molar mass of [tex]O_{2}[/tex] = 32.0 g

According to the equation, 2 moles of [tex]KClO_{3}[/tex] reacts to give 3 moles of oxygen.

Therefore, 2 (122.6) = 245.2 g of [tex]KClO_{3}[/tex] will give 3 (32.0) = 96.0 g of oxygen. Thus, 245.2 g of [tex]KClO_{3}[/tex] gives 96.0 g of oxygen.

(a) Calculate the amount of oxygen given by 2.72 g of [tex]KClO_{3}[/tex] as follows.

       [tex]\frac {96g}{245.2g} \times 2.72 g = 1.06 g[/tex] of [tex]O_{2}[/tex]


(b) Calculate the amount of oxygen given by 0.361 g of [tex]KClO_{3}[/tex] as follows.

    [tex]\frac {96g}{245.2g} \times 0.361 g = 0.141 g[/tex] of [tex]O_{2}[/tex]


c) Calculate the amount of oxygen given by 83.6 kg [tex]KClO_{3}[/tex] as follows.  

    [tex]\frac {96g}{245.2g} \times 83.6 g = 32.731 kg[/tex] of [tex]O_{2}[/tex]

Convert kg into grams as follows.

    [tex]\frac{32.731 kg}{1 kg} \times 1000 g[/tex] = 32731 g of [tex]O_{2}[/tex]


(d) Calculate the amount of oxygen given by 22.5 mg of [tex]KClO_{3}[/tex] as follows.  

    [tex]\frac {96g}{245.2g} \times 22.5 mg = 8.79 mg[/tex]

Convert mg into grams as follows.

  [tex]\frac{8.79 mg}{1 mg}\times 10^{-3} g = 8.79 \times 10^{-3} g[/tex] of [tex]O_{2}[/tex]