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  • Freezing Point Depression Calculation: Biphenyl in Cyclohexane
    Here's how to calculate the freezing point of the solution:

    1. Calculate the molality of the solution.

    * Molar mass of biphenyl (C12H10): 12(12.01 g/mol) + 10(1.01 g/mol) = 154.21 g/mol

    * Moles of biphenyl: 0.771 g / 154.21 g/mol = 0.005 mol

    * Molality (m): moles of solute / kg of solvent = 0.005 mol / 0.025 kg = 0.2 mol/kg

    2. Calculate the freezing point depression.

    * Freezing point depression constant (Kf) for cyclohexane: 20.0 °C/m

    * Freezing point depression (ΔTf): Kf * molality = 20.0 °C/m * 0.2 mol/kg = 4.0 °C

    3. Calculate the freezing point of the solution.

    * Normal freezing point of cyclohexane: 6.5 °C

    * Freezing point of the solution: 6.5 °C - 4.0 °C = 2.5 °C

    Therefore, the freezing point of the solution is 2.5 °C.

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