Question #40476

Small quantities of oxygen can be prepared in the laboratory by heating potassium chlorate, KClO3(s). The equation for the reaction is

2KClO3 ---> 2KCl + 3O2

Calculate how many grams of O2(g) can be produced from heating 95.9 grams of KClO3(s).

Expert's answer

Answer on Question #40476 - Chemistry - Other

Question

Small quantities of oxygen can be prepared in the laboratory by heating potassium chlorate, KClO3(s)\mathrm{KClO}_3(\mathrm{s}). The equation for the reaction is


2KClO32KCl+3O22 \mathrm{KClO}_3 \rightarrow 2 \mathrm{KCl} + 3 \mathrm{O}_2


Calculate how many grams of O2(g)\mathrm{O}_2(\mathrm{g}) can be produced from heating 95.9 grams of KClO3(s)\mathrm{KClO}_3(\mathrm{s}).

Answer:

Molar mass of KClO3\mathrm{KClO}_3 equals:


M(KClO3)=M(K)+M(Cl)+3M(O)=39.1+35.5+316.0=122.6gmoleM(\mathrm{KClO}_3) = M(K) + M(\mathrm{Cl}) + 3M(\mathrm{O}) = 39.1 + 35.5 + 3 \cdot 16.0 = 122.6 \frac{\mathrm{g}}{\mathrm{mole}}


Mass of 2 moles of potassium chlorate equals:


2122.6=245.2g2 \cdot 122.6 = 245.2 \mathrm{g}


Molar mass of O2\mathrm{O}_2 equals:


M(O2)=2M(O)=216.0=32.0gmoleM(\mathrm{O}_2) = 2M(\mathrm{O}) = 2 \cdot 16.0 = 32.0 \frac{\mathrm{g}}{\mathrm{mole}}


Mass of 3 moles of O2\mathrm{O}_2 equals:


332.0=96g3 \cdot 32.0 = 96 \mathrm{g}


Then we make a proportion:


245.2g of KClO3 produce 96.0g of O295.9g of KClO3xg of O2x=95.996.0245.2=37.5g\begin{array}{l} 245.2 \mathrm{g} \text{ of } \mathrm{KClO}_3 \text{ produce } 96.0 \mathrm{g} \text{ of } \mathrm{O}_2 \\ 95.9 \mathrm{g} \text{ of } \mathrm{KClO}_3 - x \mathrm{g} \text{ of } \mathrm{O}_2 \\ x = \frac{95.9 \cdot 96.0}{245.2} = 37.5 \mathrm{g} \\ \end{array}


Answer: m(O2)=37.5gm(\mathrm{O}_2) = 37.5 \mathrm{g}.


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