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Here's how to solve this problem:
1. Convert grams of HCl to moles:
- Find the molar mass of HCl (1.01 g/mol for H + 35.45 g/mol for Cl = 36.46 g/mol)
- Divide the mass of HCl by its molar mass: 27.9 g / 36.46 g/mol = 0.766 mol HCl
2. Use the stoichiometry of the balanced equation:
- The balanced equation shows that 4 moles of HCl react to produce 2 moles of H2O.
- Set up a ratio: (2 mol H2O / 4 mol HCl) = (x mol H2O / 0.766 mol HCl)
- Solve for x: x = 0.383 mol H2O
Therefore, 0.383 moles of water will be formed.