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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.
1 Molarity of a solution is the number of moles of solute per litre of solution.  Osmole - This is the amount of a substance that yields, in ideal solution, that number of particles (Avogadros number) that would depress the freezing point of the solvent by 1.86K.