calculate the molarity of a solution of ethanol in water in which the mole fraction of ethanol is 0.040(assume the density of water to be one).
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For dilute solutions, 1 L of water (or 1 L of solution) contains = 1000/18 =55.55 moles of water
Let n be the number of moles of ethanol. The mole fraction of ethanol is 0.040
Hence, 0.040= n
⠀⠀⠀⠀⠀⠀⠀_________
⠀⠀⠀⠀⠀⠀⠀⠀n+55.55
n= 2.222
⠀_________ = 2.31 moles
1-0.040
The molarity of the solution is the ratio of the number of moles of solute present in 1 L of solution.
As 1 L of solution contains 2.31 moles of ethanol, the molarity of a solution is 2.31 M.
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