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What mass of salt (NaCl) should you add to 1.28 L of water in an ice...

What mass of salt (NaCl) should you add to 1.28 L of water in an ice cream maker to make a solution that freezes at -14.6 ∘C ? Assume complete dissociation of the NaCl and density of 1.00 g/mL for water.

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Answer #1

Tf = i*m*Kf

Kf = -1.86C0

i = 2

Tf = i*m*Kf

-14.6 = 2*m*-1.86

m = 14.6/2*1.86 = 3.92 m

mass of water = volume * density

                      = 1280*1 = 1280gm

molality = weight of substance *1000/gram molar mass * weight of solvent in gm

3.92   = weight of substance *1000/58.5 *1280

weight of NaC = 3.92*1280*58.5/1000 =293.5 gm

mass of NaCl = 293.5gm

            

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