hcl A solution of sodium thiosulfate (Na2S2O3) in water is 12.00 % sodium thiosulfate by mass. Its density is 1.1003 g cm-3 at 20 °C. Compute its molarity, mole fraction, and molality at this temperature.

Respuesta :

Answer:

[Na₂S₂O₃] = 0.83 M

[Na₂S₂O₃] = 0.86 m

Mole fraction  = 0.015

Explanation:

Na₂S₂O₃ 12 % by mass. This data means, that 12 g of solute are contained in 100 g of solution.

Let's find out the volume of solution, with density to determine molarity.

Solution density = Solution mass / Solution volume

1.1003 g/cm³ = 100 g / Solution volume

100 g / 1.1003 g/cm³ = Solution volume → 90.88 mL (1cm³ = 1mL)

Now, that we have volume, we can calculate molarity

Molarity is mol/L

90.88 mL = 0.09088 L

12 g / 158.12 g/mol = 0.0759 moles

0.0759 moles / 0.09088 L = 0.83 M

Total mass of solution = 100 g

12 g + Solvent mass = 100 g

Solvent mass = 100 g - 12 g → 88 g

Molality = moles of solute /1kgof solvent

88 g = 0.088 kg

0.0759 moles / 0.088 kg = 0.86 m

As solvent mass is 88 g, let's determine solvent's moles for mole fraction

88 g / 18 g/mol = 4.89 moles

Mole fraction = moles of solute / moles of solutes + moles of solvent

Mole fraction = 0.0759 mol / 0.0759 mol + 4.89 moles = 0.015

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