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Q.

An antifreeze solution is prepared from 222.6 gram of ethylene glycol C2H6O2 and 200 gram of water. Calculate the molality of the solution. If the density of the solution is  1.072 g mL−1, then what shall be the molarity of the solution?

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a

m = 17.95 M = 9.11

b

m = 10 M = 5

c

m = 23.3 M = 19

d

m =9.11 M =17.95

answer is A.

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Detailed Solution

Mass of the solute Molarity of the solution=number of moles of solutevolume of solution in litreC2H6O2=222.6 gramMolar mass of C2H6O2=62 gram per moleNumber of moles of solute 222.6/62 = 3.59Mass of solvent 200 g = 0.200 kgMolality of the solution(m)  : number of moles/weight of solvent in kg m=3.59/0.2=17.95Total mass of the solution : 222.6+200 = 422.6 gramVolume of the solution = mass of solution/density of solution =422.6/1.072=394.2mL=0.3942L=3.59/0.3942=9.11M
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