Find the freezing point depression (in °C) of a glucose solution whose osmotic pressure at 25°C is found to be 30 atm . [ K f ( water ) = 1.86 kg . mol − 1 . K , Assume molarity = molality ]

Question

Find the freezing point depression (in °C) of a glucose solution whose osmotic pressure at 25°C is found to be 30 atm . [ K f ​ ( water ) = 1.86 kg . mol − 1 . K , Assume molarity = molality ]

TestHub · Accepted Answer

Given: π = 30 a t m , T = 25℃ = 298 K Osmotic pressure formula: π = CRT C = RT π ​ = 0.0821 × 298 30 ​ C = 1.225 m o l / L Given molarity = molality: Δ T f ​ = K f ​ m Δ T f ​ = 1.86 × 1.225 Δ T f ​ = 2.28℃

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