Answer : The mass of oxygen will be, 36.8 grams
Solution : Given,
Moles of water = 2.30 moles
Molar mass of [tex]O_2[/tex] = 32 g/mole
First we have to calculate the moles of oxygen.
The balanced chemical reaction will be,
[tex]2H_2O\rightarrow 2H_2+O_2[/tex]
From the balanced reaction we conclude that
2 moles of water decomposes to give 1 mole of [tex]O_2[/tex]
2.30 moles of water decomposes to give [tex]\frac{2.3}{2}=1.15[/tex] moles of [tex]O_2[/tex]
Now we have to calculate the mass of oxygen.
[tex]\text{Mass of }O_2=\text{Moles of }O_2\times \text{Molar mass of }O_2[/tex]
[tex]\text{Mass of }O_2=(1.15moles)\times (32g/mole)=36.8g[/tex]
Therefore, the mass of oxygen will be, 36.8 grams