The molar mass of H2O is 18.01 g/mol. The molar mass of O2 is 32.00 g/mol. What mass of H2O, in grams, must react to produce 50.00 g of O2?
This reaction is called the electrolysis of water. The balanced reaction is:
2H2O = 2H2 + O2
We are given the amount of O2 produced from the electrolysis reaction. This will be the starting point of our calculation.
50.00 grams O2 ( 1 mol O2 / 32 grams O2) ( 2 mol H2O / 1 mol O2) ( 18.01 g H2O / 1 mol H2O ) = 56.28 g H2O
Answer:
Mass of H2O = 56.27 g
Explanation:
Given:
Molar mass of H2O = 18.00 g/mol
Molar mass of O2 = 32.00 g/mol
Mass of O2 produced = 50.00 g
To determine:
Mass of H2O reacted
Explanation:
Water breaks apart during electrolysis to produce O2 and H2. This can be represented as:
\(2H2O \rightarrow 2H2 + O2\)
Moles of O2 produced = \(\frac{Mass\ of\ O2}{Molar\ Mass} = \frac{50.00}{32.00} = 1.563\)
Based on the reaction stoichiometry:
2 moles of H2O produces 1 mole of O2
Therefore, moles of H2O that would react to produce 1.563 moles of O2 is:
= \(\frac{1.563\ moles\ O2*2\ moles\ H2O}{1\ mole\ O2} =3.126 moles\)
\(Mass of H2O = Moles of H2O * Molar mass \\= 3.126 moles * 18 g/mol = 56.27 \ g\)