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Question

Chemistry Question on Solutions

Which of the following aqueous solution has minimum freezing point?

A

0.01MNaCl0.01\, M\, NaCl

B

0.005MNaCl0.005\, M\, NaCl

C

0.1MNaCl0.1\, M \,NaCl

D

0.01MNa2SO40.01\, M\, Na_2SO_4

Answer

0.01MNaCl0.01\, M\, NaCl

Explanation

Solution

Solution will have highest freezing point if ΔTf\Delta T_{f} (depression in freezing point) value will be lowest ΔTf=iKfm\Delta T_{f}= i K_{f} m

where, ii =van't Hoff's factor, Kf=K_{f}= molal depression constant, m=m = molality of solution As kfk_{f} is a constant quantity, so ΔTf\Delta T_{f} depends upon and only.

For NaCl,NaClNa++Cli=2NaCl , NaCl\to Na ^{+}+ Cl ^{-} i=2

For Na2SO4,i=3Na _{2} SO _{4}, i=3; For C12H22O11,i=1C _{12} H _{22} O _{11}, i=1
ΔTf\Delta T_{f} value is lowest for 0.01MNaCl0.01 \,M \,NaCl, hence, it has highest freezing point.