1. Calculate the moles of KCl:
* Molar mass of KCl = 39.10 g/mol (K) + 35.45 g/mol (Cl) = 74.55 g/mol
* Moles of KCl = (40.0 g) / (74.55 g/mol) = 0.536 mol
2. Calculate the moles of water:
* Molar mass of water (H₂O) = 18.02 g/mol
* Moles of water = (225 g) / (18.02 g/mol) = 12.49 mol
3. Calculate the total moles in the solution:
* Total moles = Moles of KCl + Moles of water = 0.536 mol + 12.49 mol = 13.03 mol
4. Calculate the mole fraction of KCl:
* Mole fraction of KCl (X_KCl) = (Moles of KCl) / (Total moles) = 0.536 mol / 13.03 mol = 0.0411
Therefore, the mole fraction of KCl in the solution is approximately 0.0411.
