If the mole fraction of ethanol in a solution | vedclass

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(B) Let the total number of moles in the solution be $1 \ mol$. Given mole fraction of ethanol $(x_{ethanol})$ $= 0.050$. Moles of ethanol $(n_{ethano

Vedclass · Accepted Answer

$2.8$

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(B) Let the total number of moles in the solution be $1 \ mol$. Given mole fraction of ethanol $(x_{ethanol})$ $= 0.050$. Moles of ethanol $(n_{ethanol})$ $= 0.050 \ mol$. Moles of water $(n_{water})$ $= 1 - 0.050 = 0.950 \ mol$. Mass of ethanol $= 0.050 \ mol 	imes 46 \ g/mol = 2.3 \ g$. Mass of water $= 0.950 \ mol 	imes 18 \ g/mol = 17.1 \ g$. Total mass of solution $= 2.3 \ g + 17.1 \ g = 19.4 \ g$. Assuming the density of the solution is approximately $1 \ g/mL$,the volume of the solution is $19.4 \ mL = 0.0194 \ L$. Molarity $(M)$ $= \frac{	ext{moles of solute}}{	ext{volume of solution in } L} = \frac{0.050 \ mol}{0.0194 \ L} \approx 2.58 \ M$. Rounding to the nearest provided option,the answer is $2.8 \ M$.

If the mole fraction of ethanol in a solution of ethanol in water is $0.050$,then find the molarity of the given solution. (in $M$)

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