Answer:
[NaCl] = 0.31 m
Step-by-step explanation:
Molality is a sort of solute's concentration, that indicates the moles of solute contained in 1kg of solvent.
In this problem:
solute → NaCl
solvent → H₂O
We need the mass of solvent in kg and we have the volume, so let's convert the volume to mass by the use of density.
1 g/mL = mass / 159 mL
(Notice we needed to convert the volume from L to mL)
159 g is the mass of water. We convert to kg
159 g . 1 kg/1000 g = 0.159 kg
We convert the mass of solute to moles → 2.89 g . 1mol/ 58.45 g = 0.049 moles of NaCl
Molality → mol/kg → 0.049 mol /0.159 kg = 0.31 m