Question:
The mole fraction of water in 20% aqueous solution of H\(_2\)O\(_2\) is:
The mole fraction of water in 20% aqueous solution of H\(_2\)O\(_2\) is:
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The mole fraction of water is calculated by finding the moles of water and H\(_2\)O\(_2\) in the solution and dividing accordingly.
Updated On: Apr 22, 2026
- 20/80
- 80/20
- 34/77
- 77/68
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The Correct Option is C
Solution and Explanation
Step 1: Understanding mole fraction.
The mole fraction of a component in a solution is given by: \[ \text{Mole fraction of water} = \frac{n_{\text{water}}}{n_{\text{water}} + n_{\text{H}_2\text{O}_2}} \] where \( n \) is the number of moles of the components.
Step 2: Calculation of moles.
The molar mass of H\(_2\)O\(_2\) is 34 g/mol, and the molar mass of H\(_2\)O is 18 g/mol. For a 20 percent solution of H\(_2\)O\(_2\), calculate the mass of each component, convert to moles, and then calculate the mole fraction of water.
Step 3: Conclusion.
The mole fraction of water is \( 34/77 \).
The mole fraction of a component in a solution is given by: \[ \text{Mole fraction of water} = \frac{n_{\text{water}}}{n_{\text{water}} + n_{\text{H}_2\text{O}_2}} \] where \( n \) is the number of moles of the components.
Step 2: Calculation of moles.
The molar mass of H\(_2\)O\(_2\) is 34 g/mol, and the molar mass of H\(_2\)O is 18 g/mol. For a 20 percent solution of H\(_2\)O\(_2\), calculate the mass of each component, convert to moles, and then calculate the mole fraction of water.
Step 3: Conclusion.
The mole fraction of water is \( 34/77 \).
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