Eugenol is the active ingredient in the oil of cloves used to relieve toothache. Calculate the boiling point of a solution in which 0.17 grams of eugenol, (C10H12, O2) is dissolved in 10.0 grams of benzene. (Kb benzene= 2.53 0C/m; Tb(solvent) = 80.10 0C)
I dont get it
mols eugenol = grams/molar mass = ?
molality eugenol = mols from above/kg solvent and kg solvent = 0.01
Solve for molality.
Then delta T = Kb*molality
delta T = Kb*m. YOu know Kb and m. solve for delta T, then add that to 80.1 to find the boiling point of the solution.
Post your work if you get stuck.
Eugenol is the active ingredient in the oil of cloves used to relieve toothache. Calculate the boiling point of a solution in which 0.20 grams of eugenol, (C10H12, O₂) is dissolved in 12.0 grams of benzene. (Kb benzene- 2.53°C/m; Tb(solvent) 80.10°C)
To calculate the boiling point of the solution, we need to use the equation:
ΔTb = Kb * m
Where:
- ΔTb is the change in boiling point
- Kb is the molal boiling point elevation constant for the solvent
- m is the molality of the solution, which is the moles of solute divided by the mass of the solvent.
Step 1: Calculate the moles of eugenol:
To do this, we need to determine the molar mass of eugenol (C10H12O2).
C: 10 * 12.01 g/mol = 120.10 g/mol
H: 12 * 1.01 g/mol = 12.12 g/mol
O: 2 * 16.00 g/mol = 32.00 g/mol
Molar mass of eugenol: 120.10 g/mol + 12.12 g/mol + 32.00 g/mol = 164.22 g/mol
Now, we can calculate the moles of eugenol:
Moles of eugenol = Mass of eugenol / Molar mass of eugenol
= 0.17 g / 164.22 g/mol
≈ 0.001036 mol
Step 2: Calculate the molality of the solution:
Molality (m) = moles of solute / mass of solvent (in kg)
Mass of benzene = 10.0 g = 0.0100 kg
Molality = 0.001036 mol / 0.0100 kg
≈ 0.1036 mol/kg
Step 3: Calculate the change in boiling point (ΔTb):
ΔTb = Kb * m
= 2.53 0C/m * 0.1036 mol/kg
≈ 0.2623 0C
Step 4: Calculate the boiling point of the solution:
Boiling point of solution = Boiling point of solvent + ΔTb
= 80.10 0C + 0.2623 0C
= 80.4 0C
Therefore, the boiling point of the solution is approximately 80.4 0C.