A solution is 10%(w/v). Calculate the number of moles of Naoh if the molarity of the solution is half the volume.
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Answer:
Here if an 100 g of an diluted NaOH solution is marked as 10%(w/w) of NaOH then W
2
(mass of solute)=10g and mass of water(W
1
)=90g.
density=
V
solution
mass
V
solution
=
1.070
100
=93.46cm
−3
=0.09346L
number of moles of NaOH(n
solute
)=
49g(mol)
−1
10g
=0.2mol
Molarity=
V
solution
n
solute
Molarity=
0.09346L
0.2mol
=2.14M
molality=
W
1
(inkg)
n
solute
molality=
0.09kg
0.2mol
=2.22m
Let mole fraction of water and NaOH be x
1
and x
2
and n
1
and n
2
be the moles of water and NaOH
n
1
=0.2mol and n
2
=
18g(mol)
−1
90g
=5mol
x
1
=
n
1
+n
2
n
1
=0.96
x
2
=
n
1
+n
2
n
2
=0.04
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