A solution contains 180 g of glucose (C6H12O6) and 162 g of water. What is the mole fraction of glucose?

The choices are:
a. 1.0
b. 10.0
c. 0.0010
d. 0.10
e. 0.010

Respuesta :

Answer: d. 0.10

Explanation: Mole fraction of a substance is the ratio of the moles of that substance to the total number of moles present.

[tex]{\text {mole fraction of glucose}}=\frac{\text{moles of glucose}}{\text {moles of glucose + moles of water}}[/tex]

[tex]Moles=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]

Thus [tex]{\text{moles of glucose}}=\frac{180g}{180g/mol}=1mol[/tex]

[tex]{\text{moles of water}}=\frac{162g}{18g/mol}=9mol[/tex]

[tex]{\text {mole fraction of glucose}=\frac{1}{1+9}=\frac{1}{10}=0.10[/tex]

Answer:

d. 0.10

Explanation:

So, according to definition of mole fraction:

[tex]Mole\ fraction\ of\ glucose=\frac {n_{glucose}}{n_{glucose}+n_{water}}[/tex]

Given,

Mass of glucose = 180 g

Molar mass of glucose = 180 g/mol

The formula for the calculation of moles is shown below:

[tex]moles = \frac{Mass\ taken}{Molar\ mass}[/tex]

Thus,

[tex]Moles= \frac{180\ g}{180\ g/mol}[/tex]

[tex]Moles_{glucose}= 1\ mol[/tex]

Given,

Mass of water = 162 g

Molar mass of water = 18 g/mol

The formula for the calculation of moles is shown below:

[tex]moles = \frac{Mass\ taken}{Molar\ mass}[/tex]

Thus,

[tex]Moles= \frac{162\ g}{18\ g/mol}[/tex]

[tex]Moles_{water}= 9\ mol[/tex]

Applying in the expression for mole fraction as:-

[tex]Mole\ fraction\ of\ glucose=\frac {n_{glucose}}{n_{glucose}+n_{water}}[/tex]

[tex]Mole\ fraction\ of\ glucose=\frac {1}{1+9}=0.10[/tex]

Correct answer is:- d. 0.10