Final answer:
Approximately 112 grams of KNO₃ can be dissolved in 100 grams of H₂O at 35°C.
Step-by-step explanation:
To determine the solubility of KNO₃ in water at 35°C, we can use the general solubility equation:
Solubility (g/100g) = (Ksp × Moles of solute) / (Moles of solvent)
where Ksp is the solubility product constant, Moles of solute is the number of moles of KNO₃ dissolved, and Moles of solvent is the number of moles of water (H₂O) present.
First, we need to determine the molar mass of KNO3:
Molar mass of KNO₃ = (35.56 g/mol) × 3 (for 3 K+ ions) + (18.02 g/mol) × 3 (for 3 N- ions) + (18.02 g/mol) × 3 (for 3 O- ions)
Molar mass of KNO₃ = 102.11 g/mol
Next, we can calculate the number of moles of KNO₃ that can be dissolved in 100 grams of water:
Moles of KNO₃ = (mass of KNO₃ in grams) / (molar mass of KNO₃ in g/mol)
Moles of KNO₃ = (100 g) / (102.11 g/mol) = 0.98 mol
Now, we can calculate the number of moles of water present:
Moles of H₂O = (mass of water in grams) / (molar mass of H2O in g/mol)
Moles of H₂O = (100 g) / (18.02 g/mol) = 5.56 mol
Finally, we can use the solubility equation to calculate the solubility of KNO₃ in water at 35°C:
Solubility (g/100g) = (Ksp × Moles of solute) / (Moles of solvent)
Solubility (g/100g) = (1.8 × 0.98) / 5.56 = 112 g/100 g
Therefore, approximately 112 grams of KNO₃ can be dissolved in 100 grams of water at 35°C.