Question

What is the mole fraction of ethanol in a solution made by dissolving 14.6g of ethanol, C2H5OH, in 53.6g of water?

A) 0.106

B) 0.214
C) 0.0964
D) 0.272

Please show your work!!!!!!!!!!!! :)

Answer 1

The formula of mole fraction is as follows number of moleof ethanol number of mole ethanoltnumber of mole water The amount of an ethanol dissolved in water is 14.6 g and molecular mass of ethanol is 46.07 g mol1 Calculate the number of moles of ethanol is as follows amount of ethanol molecular mass of ethanol number of moles of ethanol = 14.6 46.07 g mol 0.316mol The amount of water is 53.6 g and molecular mass of ethanol is 18.02g mol-1 Calculate the number of moles of water is as follows amount of water molecular mass of water number of moles of water- 53.6 18.02 g mol-1 = 2.97mol Substitute the value of moles of ethanol and moles of water in equation 1 as follow: 0.316mol 0.316mo2.97mol 0.316 pmol 3.29 = 0.0964 Therefore, the mole fraction of ethanol in a solution is 0.0964 Therefore, the correct option is C.