40 gm of NAOH dissolves in 180gm of water what is the mole fraction of water in solution
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Mass of NaOH=4 g
Number of moles of NaOH=
40 g
4 g
=0.1 mol
Mass of H
2
O=36 g
Number of moles of H
2
O=
18 g
36 g
=2 mol
Mole fraction of water =
No. of moles of water+No. of moles of NaOH
Number of moles of H
2
O
=
2+0.1
2
=
2.1
2
=0.95
Mole fraction of NaOH =
No. of moles of NaOH+No. of moles of water
Number of moles of NaOH
=
2+0.1
0.1
=
2.1
0.1
=0.047
Mass of solution = mass of water + mass of NaOH=36g+4 g=40 g
Volume of solution =40×1=40 mL.
( Since specific gravity of solution is =1 g mL
−1
)
Molarity of solution =
Volume of solution in litre
Number of moles of solute
=
0.04 L
0.1 mol NaOH
=2.5 M
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