Define mole fraction. A solution of sucrose in water is labelled as $20$ % w/w. What would be the mole fraction of each component in the solution?

Open in App

Solution

Mole fraction:
Mole fraction of a particular component of the solution is the ratio of number of moles of that component present in the solution to the total number of moles of all the components of the solution.
A solution of sucrose in water is labelled as 20% w/w.
It means that 100 g of solution contains 20 g of sucrose and $100 - 20 = 80$ grams of water. The molar masses of sucrose and water are 342 g/mol and 18 g/mol respectively.
The number of moles of sucrose $= \frac{20 g}{342 g / m o l} = 0.0585 m o l$
The number of moles of water $= \frac{80 g}{18 g / m o l} = 4.444 m o l$
The mole fraction of sucrose $= \frac{0.0585}{0.0585 + 4.444} = 0.01299 ≃ 0.013$
The mole fraction of water $= 1 - 0.013 = 0.987$

Suggest Corrections

Similar questions

A solution of glucose in water is labelled as 10% w/w, what would be the molality and mole fraction of each component in the solution? If the density of solution is 1.2 g mL⁻¹, then what shall be the molarity of the solution?

QUESTION 2.5

A solution of glucose in water is labelled as $10 % w / w$ . What should be the molality and mole fraction of each component in the solution? If the density of solution is $1.2 g m L^{- 1}$ , then what shall be the molarity of the solution?

Q. The mole fraction of water in 98% (w/w)

H_{2} S O_{4}

solution is :

Q. Calculate the molality and mole fraction of components in

10 %

w/w aqueous sodium hydroxide solution.

Q. What is the mole fraction of glucose in

10

% w/w glucose solution?

Join BYJU'S Learning Program

Define mole fraction. A solution of sucrose in water is labelled as 20% w/w. What would be the mole fraction of each component in the solution?

Define mole fraction. A solution of sucrose in water is labelled as $20$ % w/w. What would be the mole fraction of each component in the solution?