Question

6 grams of urea is dissolved in 90 grams of water the mole fraction of solute is

Answer 1

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Answer 2

Answer: Mole fraction of solute which is urea is 0.02

Explanation:

Solute is a substance which is present in smaller proportion. Here, solute is urea.

To calculate the number of moles, we use the equation:

$\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}$

• For urea:

Given mass of urea = 6 g

Molar mass of urea = 60 g/mol

Putting values in above equation, we get:

$\text{Moles of urea}=\frac{6g}{60g/mol}=0.1mol$

• For water:

Given mass of water = 90 g

Molar mass of water = 18 g/mol

Putting values in above equation, we get:

$\text{Moles of water}=\frac{90g}{18g/mol}=5mol$

Mole fraction of solute which is urea is calculated by using the formula:

$\chi_{\text{urea}}=\frac{n_{\text{urea}}}{n_{\text{urea}}+n_{\text{water}}}$

Putting values in above equation, we get:

$\chi_{\text{urea}}=\frac{0.1}{0.1+5}=0.02$

Hence, the mole fraction of urea is 0.02