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Question

Which of the following has been arranged in order of decreasing freezing point?

A
0.05 M KNO3>0.04 M CaCl2>0.14 M sugar >0.075 M CuSO4
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B
0.04 M BaCl2>0.14 M sucrose>0.075 M CuSO4>0.05 M KNO3
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C
0.075 M CuSO4>0.14 M sucrose >0.04 M BaCl2>0.05 M KNO3
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D
0.075 M CuSO4>0.05 M NaNO3>0.14 M sucrose>0.04 M BaCl2
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Solution

The correct option is A 0.05 M KNO3>0.04 M CaCl2>0.14 M sugar >0.075 M CuSO4
Depression in freezing point is a colligative property and thus it depends on the numberof solute particles.

Number of moles of solute or ions in 1 litre of the following solutions:
0.05 M KNO3=2×0.05=0.1 mol
0.04 M CaCl2=3×0.03=0.12 mol
0.14 M sugar=1×0.14=0.14 mol
0.75 M CuSO4=2×0.75=0.15 mol
With increase in number of particles, freezing point decreases.
Hence, the order of freezing point is:
0.05 M KNO3>0.04 M CaCl2>0.14 M sugar >0.075 M CuSO4

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