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Question

Chemistry Question on Expressing Concentration of Solutions

Mole fraction of ethyl alcohol in aqueous ethyl alcohol solution is 0.250.25. Hence percentage of ethyl alcohol by weight is

A

0.54

B

0.25

C

0.75

D

0.46

Answer

0.46

Explanation

Solution

Mole fraction of H2O=1−0.25=0.75H_2O = 1 - 0.25 = 0.75 xC2H5OHXC2H5OH + XH2O=nC2H5OHnC2H5OH + nH2O\frac{x_{C_2H_5OH}}{X_{C_2H_5OH} \,+\, X_{H_2O}} = \frac{n_{_{C_2H_5OH}}}{n_{C_2H_5OH} \,+\, n_{H_2O}} 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\%.