9.26 g of water
We are given;
Required to calculate the mass of water produced;
We will use the following steps;
Magnesium hydroxide reacts with sulfuric acid to produce water and magnesium sulfate;
Therefore, the equation of the reaction is;
Mg(OH)₂(aq) + H₂SO₄(aq) → MgSO₄(aq) + 2H₂O(l)
Number of moles = Mass ÷ Molar mass
Molar mass of Mg(OH)₂ =58.320 g/mol
Therefore;
Moles of Mg(OH)₂ = 15 g ÷ 58.320 g/mol
= 0.257 moles
From the equation 1 mole of Mg(OH)₂ reacts to produce 2 moles of water;
Therefore; Moles of water = moles of Mg(OH)₂ × 2
Moles of water = 0.257 moles × 2
= 0.514 moles
Mass = Moles × Molar mass
Molar mass of water = 18.02 g/mol
Therefore;
Mass of water = 0.514 moles × 18.02 g/mol
= 9.26 g
Therefore, 9.26 g of water will be produced