Asolution containing 10.0 g of an unknown liquid and 90.0 g water has a freezing point of -3.33 °c. given kf = 1.86 °c/m for water, the molar mass of the unknown liquid is g/mol.

62.06 g/mol

Explanation:

We are given that a solution containing 10 g of an unknown liquid and 90 g

Given mass of solute ==10 g

Given mass of solvent==90 g

Freezing point of solution =-3.33C

Freezing point of solvent =C

Change in freezing point =Depression in freezing point

=Freezing point of solvent - freezing point of solution=0+3.33=

Hence, molar mass of unknown liquid is 62.06g/mol.

Molar mass of the unknown liquid = 62.07g/mol

Explanation:

Formula is given as

Molality of solution = freezing point of water ÷ Kf

Where

Freezing point of water = -3.33 °C

Kf = in the question, water is the solvent = 1.86 °C/m

Molality of the Solution = 3.33 °C ÷ 1.86 °C/m

= 1.79mol/kg

Next step is to find the number of moles of the solute

Number of moles of solute = Molality of solution × kg of water

Water = 90g

1000g = 1kg

90g of water = 90÷1000

= 0.09kg of water

Number of moles of solute = 1.79mol/kg × 0.09kg of water

= 0.1611mole of solute

Molar mass of the unknown liquid =

Mass of the unknown liquid ÷ Number of moles of solute

Mass of the unknown liquid = 10g

Number of moles of solute = 0.1611mole

Molar mass of the unknown liquid = 10g ÷ 0.1611mole

= 62.07g/mole