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Question: > Mole fraction of ethyl alcohol in aqueous ethyl alcohol (C2H5OH) solution is 0.25. Hence percentag...

Mole fraction of ethyl alcohol in aqueous ethyl alcohol (C2H5OH) solution is 0.25. Hence percentage of ethyl alcohol by weight is :

A

54%

B

25%

C

75%

D

46%

Answer

46%

Explanation

Solution

(4)

Mole fraction of H2O = 1 – 0.25 = 0.75

xCH2H5OHXC2H5CH+XH2O=nC2H5CHnC2H5OH+nH2O\frac{x_{CH_{2}H_{5}OH}}{X_{C_{2}H_{5}CH} + X_{H_{2}O}} = \frac{n_{C_{2}H_{5}CH}}{n_{C_{2}H_{5}OH} + n_{H_{2}O}}

or wt. %=0.25×460.25×46+0.75×18×100=46%.\% = \frac{0.25 \times 46}{0.25 \times 46 + 0.75 \times 18} \times 100 = 46\%.