Final answer:
The molar mass of the solute is calculated by dividing the mass of the solute by the product of the molarity and the volume of the solution; the correct answer is option E, which corresponds to this calculation.
Step-by-step explanation:
To determine the molar mass of the solute, we need to use the provided information about the solution's molarity and the mass of the solute. Molarity (M) is defined as the number of moles of solute per liter of solution. Since we know the mass of the solute and the molarity of the solution, we can calculate the molar mass using the formula Molar mass = Mass of solute / Moles of solute. Given that we have a 0.65M solution, and the total mass of the solute is 45.1 grams, the number of moles of solute can be computed by multiplying the molarity (0.65 moles/L) by the volume of the solution in liters (0.302 L, which is the mass of water in kilograms assuming the density of water is 1 g/mL, thus 302 grams of water is approximately 0.302 liters).
The correct formula to calculate the molar mass in this scenario would be: Molar mass = Mass of solute / (Molarity × Volume of solution). So, using the above formula, the calculation is (45.1 grams) / (0.65 moles/L × 0.302 L). Therefore, the correct answer is option E. (45.1 grams)/(0.65(× 0.302) moles).