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Chemistry · General chemistry II · Worked example

Find molality, mass percent and mole fraction

A solution is made by dissolving 10.0 g of NaCl in 250.0 g of water. Find its molality, its mass percent of NaCl and the mole fraction of NaCl.

Moles of solute

Divide by the molar mass of NaCl, 58.44 g/mol.

10.0 g⁡×1 mol58.44 g⁡=0.171 mol

Molality

Divide by the solvent’s mass in kilograms: 250.0 g is 0.2500 kg.

0.171 mol0.2500 kg=0.684 mol/kg

Mass percent

The solution weighs 10.0 g + 250.0 g = 260.0 g.

10.0 g⁡260.0 g⁡×100⁢%=3.85⁢%

Moles of water

Divide by the molar mass of water, 18.02 g/mol.

250.0 g⁡×1 mol18.02 g⁡=13.87 mol

Mole fraction

χ(NaCl) is the moles of NaCl over the total moles of NaCl and water.

0.1710.171+13.87=0.0122

Result

The solution is 0.684 m, 3.85% NaCl by mass, and the mole fraction of NaCl is 0.0122.

Your turn

Find the molality of a solution of 18.0 g of glucose, C₆H₁₂O₆ (180.16 g/mol), in 150.0 g of water.

Show the answer and explanation

0.666 m.

18.0 g ÷ 180.16 g/mol = 0.0999 mol, and 0.0999 mol ÷ 0.1500 kg = 0.666 mol/kg.

0.09990.1500=0.666

Keep exploring

Solutions & concentration opens in molality with 10.0 g of NaCl and 250.0 g of water and gives 0.684 mol/kg. Switch the calculation to mass percent or mole fraction to check the other two answers.

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