The solubility of sodium chloride in water at 290K is 35.8 kg/100 kg water. What is the mass fraction of sodium chloride in the solution?
Show Hint
- 0.264
- 0.358
- 0.642
- 0.736
The Correct Option is A
Solution and Explanation
Step 1: Use the formula for mass fraction.
The mass fraction of sodium chloride in the solution is given by: \[ \text{Mass fraction} = \frac{\text{Mass of solute}}{\text{Mass of solute} + \text{Mass of solvent}} \] Here, the mass of solute is the amount of sodium chloride, and the mass of solvent is the amount of water.
Step 2: Substitute the given values.
Given:
Solubility of sodium chloride = 35.8 kg/100 kg of water,
Mass of solvent (water) = 100 kg,
Mass of solute (sodium chloride) = 35.8 kg.
Thus, the mass fraction is: \[ \text{Mass fraction} = \frac{35.8}{35.8 + 100} = \frac{35.8}{135.8} \approx 0.264. \]
Final Answer: The mass fraction of sodium chloride is 0.264.
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