To calculate the change in boiling point caused by the addition of a solute, we can use the formula:
ΔT = Kb * m
Where: ΔT is the change in boiling point, Kb is the ebullioscopic constant, m is the molality of the solute.
First, let's calculate the molality (m) of the glucose solution:
m = (moles of solute) / (mass of solvent in kg)
To find the moles of solute, we need to convert the given mass of glucose to moles. The molar mass of glucose (C6H12O6) is 180.16 g/mol.
moles of glucose = (mass of glucose) / (molar mass of glucose) = 72.0 g / 180.16 g/mol ≈ 0.3998 mol
Now, let's calculate the molality:
m = (0.3998 mol) / (0.35 kg) ≈ 1.1429 mol/kg
Finally, we can calculate the change in boiling point (ΔT) using the given ebullioscopic constant (Ke(H2O)):
ΔT = Kb * m = 0.512 Kkg/mol * 1.1429 mol/kg ≈ 0.5854 K
Therefore, the boiling point of water will rise by approximately 0.5854 degrees Celsius when 72.0 g of glucose is added to 350 g of water.