The mass of oxygen needed to react 10 grams of calcium to form calcium oxide is 4.0 grams.
Given:
The reaction:
[tex]2Ca+O_2\rightarrow CaO[/tex]
Mass of calcium = 10 g
To find:
The mass of oxygen needed to react 10 grams of calcium to form calcium oxide.
Solution:
[tex]2Ca+O_2\rightarrow CaO[/tex]
Mass of calcium = 10 g
Moles of calcium = [tex]\frac{10 g}{40.078 g/mol}=0.25 mol[/tex]
According to reaction, 2 moles of calcium reacts with oxygen, then 0.25 moles of calcium will react with:
[tex]=\frac{1}{2}\times 0.25 mol=0.125 \text{ mol of }O_2[/tex]
Mass of 0.125 moles of oxygen gas:
[tex]0.125 mol\times 31.998 g/mol=3.99975 g\approx 4.0 g[/tex]
The mass of oxygen needed to react 10 grams of calcium to form calcium oxide is 4.0 grams.
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