A solution of 6% (wt/vol) of urea is isotonic with NaCl (aq) What js the weight % of NaCl solution ?
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Answer:
0.5m NaCl
Explanation:
Two solutions are isotonic if they have the same osmotic pressure.
Osmotic pressure π=iCRT
For NaCl, the van 't Hoff factor i=2 as one NaCl molecule dissociates into 2 ions.
For urea, the van 't Hoff factor i=1 as urea does not dissociate.
6% W/V aqueous solution of urea means 6 g urea in 100 mL solution or
$$ 60 g urea in 1000 mL (1 L) solution.
C=
60g/mol×1L
60 g
=1M
i
urea
×C
urea
=i
NaCl
×C
NaCl
1× 1 M= 2×C
NaCl
C
NaCl
=0.5 M
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