Answer
0.0234
Work Step by Step
To find the mole fraction, we first need to find the number of moles of each component. We have 20.8g of phenol and 425g of ethanol.
Phenol C6H5OH -
Carbon is 12g/mol, H is 1g/mol, O is 16g/mol
MW = 12*6 + 5*1 + 16 + 1 = 94g/mol
Ethanol CH3CH2OH -
MW = 12 + 3*1 + 12 + 2*1 + 16 + 1 = 46 g/mol
Then we have 20.8g * (1mol/94g) = 0.221 mole phenol
425g * (1mol/46g) = 9.24 mole ethanol
In total we have 0.221 + 9.24 = 9.46 moles total
Therefore, the mole fraction of phenol is 0.221/9.46 = 0.0234