If 1.02% of glycerin is isotonic with a 2% solution of glucose, calculate the molar mass of glycerin if that of glucose is 180g./mol

Step-by-step solution

For isotonic solutions, the osmotic pressures are equal, ₁ = ₂ . Since both glycerin and glucose are non-electrolytes, their van't Hoff factors are i = 1 . Therefore, their molar concentrations are equal, C₁ = C₂ . Let the molar mass of glycerin be M . A 1.02 % solution of glycerin contains 1.02 g in 100 mL of solution, and a 2 % solution of glucose contains 2 g in 100 mL of solution. Concentration of glycerin, C₁ = 1.02 M 0.1 Concentration of glucose, C₂ = 2 180 0.1 Equating C₁ and C₂ : 1.02 M = 2 180 M = 1.02 180