Eugenol is a nonelectrolyte that contributes to the flavor of spices such as clove, nutmeg, cinnamon, and basil. A 328 mg sample of eugenol was dissolved in 10.0 g of chloroform (K_b = 3.63 $\circ$ C/m), increasing the boiling point of the chloroform by 0.726 $\circ$ C. What is the molar mass of eugenol? A)164 g/mol B)328 g/mol C)363 g/mol D)182 g/mol E)82 g/mol

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Quizplus · Accepted Answer

Explanation:The boiling point elevation is given by the equation:ΔTb = Kb * molalitywhere ΔTb is the change in boiling point, Kb is the boiling point elevation constant, and molality is the concentration of the solution in molality.We can rearrange this equation to solve for molality:molality = ΔTb / KbWe are given that ΔTb = 0.726 °C and Kb = 3.63 °C/m. Substituting these values into the equation, we get:molality = 0.726 °C / 3.63 °C/m = 0.200 mWe can also calculate the molality using the mass of eugenol and the mass of chloroform:molality = (mass of eugenol / molar mass of eugenol) / (mass of chloroform / molar mass of chloroform)We are given that the mass of eugenol is 328 mg and the mass of chloroform is 10.0 g. The molar mass of eugenol is what we are trying to find. The molar mass of chloroform is 119.38 g/mol. Substituting these values into the equation, we get:0.200 m = (328 mg / molar mass of eugenol) / (10.0 g / 119.38 g/mol)Solving for the molar mass of eugenol, we get:molar mass of eugenol = 328 mg / (0.200 m * 10.0 g / 119.38 g/mol) = 164 g/molTherefore, the molar mass of eugenol is 164 g/mol.

Eugenol Is a Nonelectrolyte That Contributes to the Flavor of Spices