A 2.100×10−2 M 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 999.4 mL . The density of water at 20.0∘C is 0.9982 g/mL.
Part A
Calculate the molality of the salt solution.
Express your answer to four significant figures and include the appropriate units.
Part B
Calculate the mole fraction of salt in this solution.
Express the mole fraction to four significant figures.
Part C
Calculate the concentration of the salt solution in percent by mass.
Express your answer to four significant figures and include the appropriate units.
Part D
Calculate the concentration of the salt solution in parts per million.
Express your answer as an integer to four significant figures and include the appropriate units.
a)
molality of salt
mol = (2.1*10^-2 )* 1 =2.1*10^-2
molality = mol/kg = MV / kg = (2.1*10^-2 )* 1 / 0.9994 = 0.021012 molal
b)
mole frac of salt in solution
mol frac = mole Salt / total mol
mol water = mass/MW = 998/18 = 55.4444
total mol = mol water + mol salt = 2.1*10^-2 + 55.4444
mol frac = (2.1*10^-2)/(55.4444+ 2.1*10^-2 ) = 0.00037861441
c)
calculate % by mass
mass aslt = mol*MW = (2.1*10^-2)(58) =1.218
% mass = mass of salt / total mass = 1.218/998.2 * 100 = 0.122019 %
d)
ppm = mg /kg
mg of salt = 1.218 *1000 = 1218 mg of salt
kw = 0.998
ppm = 1218/0.998 = 1220.4408 ppm
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