A solution that is 33.6 % by mass of phenol (C₆H₅OH) in water is prepared. What is the mole fraction of the phenol A) 0.0969 B) 0.0643 C) 0.0883 D) 0.0604 E) 0.357

Question

Quizplus · Accepted Answer

To find the mole fraction, we need to know the number of moles of both phenol and water. Let's assume we have 100 g of the solution, then we have:

- Mass of phenol = 33.6 g
- Mass of water = 100 g - 33.6 g = 66.4 g

To find the number of moles, we divide the masses by their respective molecular weights:

- Moles of phenol = 33.6 g / 94.11 g/mol = 0.357 mol
- Moles of water = 66.4 g / 18.02 g/mol = 3.68 mol

The mole fraction of phenol is then:

- Mole fraction of phenol = moles of phenol / (moles of phenol + moles of water) = 0.357 / (0.357 + 3.68) = 0.0883

Therefore, the best choice is C.

A Solution That Is 33