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Solutions

Question
CBSEENCH12011093
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Of the following 0.10 m aqueous solutions, which one will exhibit the largest freezing point depression?

  • KCl

  • C6H12O6

  • Al2(SO4)3

  • K2SO4

Solution

C.

Al2(SO4)3

ΔTf (freezing point depression) is a colligative property and depends upon the van't Hoff factor (i) i,e., number of ions given by the electrolyte in aqueous solution.
ΔTf =i x Kf xm
where Kf = molal freezing point depression constant
m =mnolality of the solution
therefore,
Kf and m are constant ΔTf  straight alpha i
straight a right parenthesis space KCl space left parenthesis aq right parenthesis space rightwards harpoon over leftwards harpoon space straight K to the power of plus space left parenthesis aq right parenthesis space plus Cl to the power of minus space left parenthesis aq right parenthesis comma space total space ions space equals space 2 space thus comma space straight i space equals 2 right parenthesis straight b right parenthesis space straight C subscript 6 straight H subscript 12 straight O subscript 6 space rightwards harpoon over leftwards harpoon no space ions space left square bracket straight i equals 0 right square bracket straight c right parenthesis space Al subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 space left parenthesis aq right parenthesis space rightwards harpoon over leftwards harpoon space 2 Al to the power of 3 plus end exponent space plus 3 SO subscript 4 superscript 2 minus end superscript left square bracket total space ions space equals space 5 space thus space comma space straight i space equals space 5 right square bracket straight d right parenthesis space straight K subscript 2 SO subscript 4 space left parenthesis aq right parenthesis space rightwards harpoon over leftwards harpoon space 2 straight K to the power of plus space plus SO subscript 4 superscript 2 minus end superscript left square bracket total space ions space equals 3 space thus space comma space straight i space equals 3 right square bracket
Hence, Al2(SO4)3 will exhibit largest freezing point depression due to the highest value of i.

Some More Questions From Solutions Chapter

Calculate the osmotic pressure in pascals exerted by a solution prepared by dissolving 1.0 g of polymer of molar mass 185,000 in 450 mL at 370C.

Suppose a solid solution is formed between two substances, one whose particles are very large and the other whose particles are very small. What kind of solid solution is this likely to be?

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