64 g of methanol is dissolved in 126 g of water the mole fraction of methanol in the solution is?
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Answer:
Correct option is
B
0.22,0.78
Given conditions ⇒
Mass of the Methanol = 60 g.
Molar mass of the Methanol = 32 g/mole.
∵ No. of moles of Methanol =
Molar Mass
Mass
∴ No. of moles = 60/32
= 1.875 mole.
Mass of the Water = 120 g.
Molar mass of the water = 18 g/mole.
∴ No. of moles of Water =
Molar mass
Mass
.
= 120/18
= 6.67 mole.
Now, Total number of moles in a solution = No. of moles of Methanol + No. of moles of water.
= 1.875 + 6.67
= 8.545 moles.
Now,
Mole Fraction of Methanol in the solution =
Total number of moles in a solutions
No. of moles of Methanol
.
= 1.875/8.545
= 0.22
Mole Fraction of Water in the solution =
Total number of moles in a solution
No. of moles of water
.
= 6.67/8.545
= 0.78
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