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Answer :
Final answer:
The expected boiling point of the solution can be calculated using the formula ΔTb = Kb * m * i, where ΔTb is the boiling point elevation, Kb is the molal boiling point elevation constant, m is the molality of the solution, and i is the van't Hoff factor. For this solution, the expected boiling point is 100.76°C.
Explanation:
The boiling point elevation of a solution can be calculated using the formula ∆Tb = Kb * m * i, where ∆Tb is the boiling point elevation, Kb is the molal boiling point elevation constant, m is the molality of the solution, and i is the van't Hoff factor. In this case, the molality (m) can be calculated by dividing the moles of solute by the mass of the solvent:
m = (moles of solute) / (mass of solvent)
For the given solution, the moles of KCl can be calculated by dividing the mass of KCl by its molar mass:
moles of KCl = (mass of KCl) / (molar mass of KCl)
The final step is to calculate the van't Hoff factor, which depends on the degree of dissociation of the solute in the solvent. KCl is a strong electrolyte and completely dissociates into two ions (K+ and Cl-) in water, so the van't Hoff factor (i) is 2.
Plugging in the values, we can calculate the boiling point elevation:
∆Tb = (Kb) * (m) * (i)
Where:
Kb = 0.51 °C/m
mass of KCl = 128 g
mass of water = 1.3 kg
molar mass of KCl = 74.55 g/mol
i = 2
Substituting the values:
∆Tb = (0.51 °C/m) * [(128 g / 74.55 g/mol) / 1.3 kg] * 2
After calculating, the expected boiling point elevation is ∆Tb = 0.76 °C. To find the expected boiling point of the solution, add the boiling point elevation to the boiling point of pure water, which is 100 °C:
Expected boiling point = 100 °C + 0.76 °C = 100.76 °C
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