23g of ethyl alcohol is dissolved in 54g of water. calculate molar fraction of ethyl alcohol and water in solution
Answers
Answer:
molar fraction of ethyl alcohol = 1/7
molar fraction of water = 6/7
Step-by-step explanation:
Moles= given mass/ molecular mass
molecular mass of Ethyl Alcohol = 2*12 + 6*1 + 1*16
(C2H5OH) => 24+6+16
=> 46 amu
Moles of Ethyl Alcohol = given mass / molecular mass
(Xa) => 23/46
=> 1/2
=> 0.5 moles
molecular mass of Water = 2*1 + 16
(H2O) => 2+16
=> 18
Moles of Water = given mass / molecular mass
(Xb) => 54/18
=> 3 moles
Mole Fraction of Ethyl Alcohol = Xa/Xa+Xb
=> 0.5/0.5+3
=> (1/2)/(7/2)
=> 1/7
=> 0.14
Mole Fraction of Water = Xb/Xa+Xb
=> 3/0.5+3
=> 3/3.5
=> 30/35
=> 6/7