Question

Calculate the molarity of ethanol solution in which the mole fraction of water is 0.88.
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Answer 1

Answer:

You can't find out molarity without solvent. So it should be molality.

Molality is moles of solute per kg of solvent. For the given problem, the solute is ethanol and solvent is water. The mole fraction of ethanol is given as 0.88.

We know that, the sum of mole fractions is 1. So, if the mole fraction of ethanol is 0.88 then mole fraction of water would be = 1 - 0.88 = 0.12

It's simply like we have 0.88 moles of ethanol and 0.12 moles of water.  Since. mole fraction is moles divided by total moles.

For example, mole fraction of ethanol = (moles of ethanol)/(moles of ethanol + moles of water)

Let's convert 0.12 moles of water to g and then kg:

= (0.12 * 18 )/(1000) = 0.00216 kg

molality of the solution = (moles of solute)/(mass of solvent)

= ( 0.12 moles )(18.02/1 mole )( 1 kg/1000 g)

= 407.4m

So, the molality of the solution is 407.4 m

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