In: Chemistry
Determine the colligative (effective) molality of a truly saturated salt solution and the freezing point of a truly saturated salt solution (solubility limit of NaCl is 35.7 g)
Colligative molality of a truly saturated salt solution = [no.of moles of salt / weight of the solvent in grams] x 1000
no.of moles of salt solute = given weight of salt/ its molar mass
= 35.7g/58.5g/mol
= 0.61mol
Given solubility value. Solubility is measured for 100g of solvent.
Hence molality = (0.61 moles/ 100g) x 1000
= 6.1m
freezing point of truly saturated salt solution :
freezing ponit of pure water = 00C
depression in freezing point of salt solution = Kf x molality of solution.
Kf is 1.853 K·kg/mol. for saturated salt
solution.
273K - Tf = 1.853 K·kg/mol x 6.1molal
Tf = 273 K - 11.3K
= 261.7 K
HENCE THE FREEZING POINT OF THE SOLUTION IS :
-11.30C