A 1.2g/l of solution of NaCl is isotonic with 7.2g/l of solution of glucose.Calculate the vant hoff factor of NaCl solution
a. 2.36
b.1.50
c. 1.95
d. 1.00
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The molar masses of NaCl and glucose are 58.5 g/mol and 180 g/mol respectively.
The expression for the osmotic pressure is as follows:
Π=iCRT
Since two solutions are isotonic, they have equal osmotic pressure.
Π(NaCl)=Π(glucose)
i(NaCl)C(NaCl)=i(glucose)C(glucose)
i(NaCl)×
58.5
1.2
=1×
180
7.2
i(NaCl)=1.95
Let α be the degree of ionization of NaCl.
α=
n
′
−1
i−1
=
2−1
1.95−1
=0.95
Here, n
′
represents the total number of ions produced by dissociation of one molecule of NaCl.
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