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The solubility of silver chloride at 50°c is 10.24 g per 100 g of solvent and at 10°c it is 2.15 g. Calculate the mass of silver chloride precipitated when a saturated solution of 50 g of silver chloride was cooled from 50°c to 10°c.
Accepted Answer
Here's how to calculate the mass of silver chloride precipitated:
1. Solubility Difference: The solubility difference between 50°C and 10°C is 10.24 g/100 g - 2.15 g/100 g = 8.09 g/100 g of solvent.
2. Mass of Solvent: Assuming we have 100 g of solvent (as the solubility is given per 100 g of solvent), the mass of silver chloride that would dissolve at 50°C is 10.24 g.
3. Mass of Silver Chloride at 10°C: At 10°C, only 2.15 g of silver chloride would remain dissolved per 100 g of solvent.
4. Mass Precipitated: The difference between the two is the mass that precipitates out: 10.24 g - 2.15 g = 8.09 g.
5. Scaling to 50 g Silver Chloride: Since we started with 50 g of silver chloride, the mass precipitated would be proportional: (8.09 g / 10.24 g)
50 g ≈ 39.5 g
Therefore, approximately 39.5 g of silver chloride would precipitate when a saturated solution of 50 g of silver chloride is cooled from 50°C to 10°C.
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