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Which aqueous solution has minimum freezing point?    
  • a)
    0.01 M NaCI
  • b)
    0.005 M C2H2OH    
  • c)
    0.005 M MgI2    
  • d)
    0.005 M MgSO4
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Which aqueous solution has minimum freezing point? a)0.01 M NaCIb)0.00...
for solute AxBy; α is degree of ionization. Colligative properties are osmotic pressure,lowering in vapour
pressure,elevation in b.p. and depression in f.p.
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Most Upvoted Answer
Which aqueous solution has minimum freezing point? a)0.01 M NaCIb)0.00...
Explanation:

To determine which aqueous solution has the minimum freezing point, we need to understand the concept of freezing point depression and the relationship between the concentration of solute and the freezing point of a solution.

Freezing Point Depression:

When a solute is dissolved in a solvent, the freezing point of the resulting solution is lower than that of the pure solvent. This phenomenon is known as freezing point depression. The extent of freezing point depression depends on the concentration of the solute particles in the solution.

Relationship between Concentration and Freezing Point:

The relationship between the concentration of solute particles and the freezing point depression can be quantified using the equation:

ΔTf = Kf * m

Where:
ΔTf = freezing point depression
Kf = cryoscopic constant (a property of the solvent)
m = molality of the solute (moles of solute per kilogram of solvent)

From this equation, we can see that the freezing point depression is directly proportional to the molality of the solute.

Comparison of Options:

Now let's compare the given options:

a) 0.01 M NaCl:
- This solution contains sodium chloride (NaCl) and has a concentration of 0.01 M.
- Since NaCl dissociates into two ions (Na+ and Cl-), the effective concentration of particles is double, i.e., 0.02 M.
- Therefore, the molality of the solution is 0.02 mol/kg.

b) 0.005 M C2H2OH:
- This solution contains ethyl alcohol (C2H5OH) and has a concentration of 0.005 M.
- Ethyl alcohol does not dissociate significantly in water, so the concentration of particles remains the same.
- Hence, the molality of the solution is 0.005 mol/kg.

c) 0.005 M MgI2:
- This solution contains magnesium iodide (MgI2) and has a concentration of 0.005 M.
- MgI2 dissociates into three particles (Mg2+ and 2I-), resulting in an effective concentration of particles of 0.015 M.
- Therefore, the molality of the solution is 0.015 mol/kg.

d) 0.005 M MgSO4:
- This solution contains magnesium sulfate (MgSO4) and has a concentration of 0.005 M.
- MgSO4 dissociates into three particles (Mg2+ and SO42-), resulting in an effective concentration of particles of 0.015 M.
- Hence, the molality of the solution is 0.015 mol/kg.

Conclusion:

Comparing the molalities of the solutions, we can see that the aqueous solution with the minimum freezing point is option 'A' (0.01 M NaCl). This is because it has the highest molality among the given options, resulting in the greatest freezing point depression.
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