When 0.500 g of vitamin K is dissolved in 10.0 g of camphor (K_f = 40.0°C/m),the freezing point of the solution is 4.43°C lower than that of pure camphor.Assuming vitamin K is a nonelectrolyte in camphor,calculate its molar mass. A)0.451 g/mol B)55.4 g/mol C)451 g/mol D)3.54 × 10⁴ g/mol

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The molar mass of vitamin K can be calculated using the formula ΔTf = Kf * m, where ΔTf is the freezing point depression, Kf is the cryoscopic constant, and m is the molality of the solution. Given ΔTf = 4.43°C, Kf = 40.0°C/m, and the mass of vitamin K = 0.500 g dissolved in 10.0 g of camphor, we first calculate the molality (m) of the solution: m = ΔTf / Kf = 4.43°C / 40.0°C/m = 0.11075 mol/kg. Then, to find the molar mass (M) of vitamin K, we use the formula M = mass of solute / (molality * mass of solvent in kg), which gives M = 0.500 g / (0.11075 mol/kg * 0.010 kg) = 451 g/mol.

When 0500 G of Vitamin K Is Dissolved in 10