Match the following aqueous solutions with the appropriate letter from the column on the right. Assume complete dissociation of electrolytes. 1.0.10 mMgCl2       A.Highest boiling point 2.0.13 mNa2S       B.Second highest boiling point 3.9.3×10-2mFeCl3       C.Third highest boiling point 4.0.34 mSucrose(nonelectrolyte)         D.Lowest boiling point

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Asked Sep 4, 2019
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Match the following aqueous solutions with the appropriate letter from the column on the right. Assume complete dissociation of electrolytes.

  1. 0.10 m MgCl2         A. Highest boiling point
  2. 0.13 m Na2S         B. Second highest boiling point
  3. 9.3×10-2m FeCl3         C. Third highest boiling point
  4. 0.34 m Sucrose(nonelectrolyte)           D. Lowest boiling point
 
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Expert Answer

Step 1

Colligative properties are the properties which depend on the number of atoms or molecules or ions or particles present in the solution. Some common colligative properties are depression in freezing point, elevation in boiling point, osmotic pressure and relative lowering in vapor pressure.

Step 2

Elevation in boiling point is a colligative property that can be calculated with the help of concentration (molality) of solution. Hence as the number or moles of solute increases, the boiling point also increases. The relation between elevation in boiling point and molality of solution can be written as:

AT,ixk
-ix k, x m
Here
AT,= elevation in boiling point
ivan't Hoff factor (depends on number of ions formed after dissociation)
m molality
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AT,ixk -ix k, x m Here AT,= elevation in boiling point ivan't Hoff factor (depends on number of ions formed after dissociation) m molality

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Step 3

Calculate moles of each substance to compare the elevation in boiling point: 

Since molality stands for moles of solute in 1 kg of solvent hen...

Compounds Number of
moles per kg
solvent
0.10 moles
0.13 moles
9.3 x 10-2 moles
0.34 moles
Number of
ions given by solution
compound
|3 ions
Total number of particles in the
Molality
MgCl2
NaS
0.10 m
2. 0.13 m
9.3x102m FeCl3
0.34 m
0.01 x 3 =0.30 moles
0.13 x 3 0.39 moles
9.3 x 102 x 40.372 moles
0.34 x 1 - 0.34 moles
3 ions
4 ions
1molecule
3.
4.
Sucrose
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Compounds Number of moles per kg solvent 0.10 moles 0.13 moles 9.3 x 10-2 moles 0.34 moles Number of ions given by solution compound |3 ions Total number of particles in the Molality MgCl2 NaS 0.10 m 2. 0.13 m 9.3x102m FeCl3 0.34 m 0.01 x 3 =0.30 moles 0.13 x 3 0.39 moles 9.3 x 102 x 40.372 moles 0.34 x 1 - 0.34 moles 3 ions 4 ions 1molecule 3. 4. Sucrose

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