30.598 g of sulfuric acid
Explanation:
Sulfur trioxide (SO₃) will react with water (H₂O) to produce sulfuric acid (H₂SO₄):
SO₃ + H₂O → H₂SO₄
Now knowing the density of water is equal to 0.997 g/mL we calculate the mass of water:
density = mass / volume
mass = density × volume
mass of water = 0.997 × 5.6368 = 5.6199 g
number of moles = mass / molar weight
number of moles of water = 5.6199 / 18 = 0.31222 moles
From the chemical reaction we see that 1 mole of water produce 1 mole of sulfuric acid so 0.31222 moles of water will produce 0.31222 moles of sulfuric acid.
mass = number of moles × molar weight
mass of sulfuric acid = 0.31222 × 98 = 30.598 g
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