Final answer:
To calculate the molar mass of the compound, use the freezing point depression equation and the given data. The molar mass of the compound is 257.25 g/mol.
Step-by-step explanation:
To calculate the molar mass of the compound, we need to use the freezing point depression equation: ΔT = Kf × m.
In this case, the freezing point of the solvent was lowered by 10.5 K, and we know that Kf for carbon tetrachloride is 30.6 °C/m.
We can plug the values into the equation and solve for m:
m = ΔT / Kf
= 10.5 K / 30.6 °C/m
= 0.343 m.
Next, we can calculate the molality of the solution using the given data: molality = moles solute / mass solvent = X / 750 g, where X is the moles of the compound.
Since we already calculated the molality to be 0.343 m, we can solve for the moles of the compound:
X = molality × mass solvent
= 0.343 m × 750 g
= 257.25 g/mol.
The molar mass of the compound is 257.25 g/mol.