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If we assume that the density of the solution is almost equal to that of pure water (1 kg/L), then we find that 1 L of solution will weigh 1 kg. If 1 kg of solution contains 0.0001 M of sucrose , then it is 0.0001 m in sucrose, so the molarity and molality are almost the same. I think they are numerically the same to several decimal places.
Gly. Converting the mass Water to kilograms, we have: x# kg Water = 94 g (1 kg / 1000 g) = 0.094 kg So, the molality of the solution is: molality = = = 1.028 m If we plot the Freezing Point Depression data in this guise, we find a linear relationship between FP Depression and molality exists.