In: Chemistry
A 2.750×10−2M solution of NaCl in water is at 20.0∘C. The sample was created by dissolving a sample of NaCl in water and then bringing the volume up to 1.000 L. It was determined that the volume of water needed to do this was 999.3 mL . The density of water at 20.0∘C is 0.9982 g/mL.
Part A
Calculate the molality of the salt solution.
Part B
Calculate the mole fraction of salt in this solution.
Express the mole fraction to four significant figures.
mass of water = 999,3 x 0.9982
= 997.5 g
moles of water = 997.5 / 18 = 55.417 mol
moles of NaCl = 2.750×10−2 x 1
= 2.750×10−2
molality = moles / mass of solvent in kg
= 2.750×10−2 / 0.9975
molality = 0.0276 m
Part B)
mole fraction of salt = moles of salt / total moles
= 2.750×10−2 / 2.750×10−2 + 55.417
= 4.960 x 10^-4