When 50cm of a saturated solution of sugar of mm 342g at 40c was evaporated to dryness , 34.2 dry solid was obtained
The solubility of sugar at 40c is
In order to find the solubility of sugar at 40°C, we can follow these steps:
1. Determine the mass of sugar in the original solution.
2. Calculate the volume of solvent (water) in the original solution.
3. Determine the mass of sugar per unit volume of solvent.
4. Express the solubility in terms of common units such as g/100g solvent or g/100mL solvent.
1. The mass of sugar in the original solution:
Given that 34.2g of dry solid was obtained after evaporating 50 cm³ of the saturated solution at 40°C, the mass of sugar in the original solution is 34.2 g.
2. The volume of solvent in the original solution:
Since the sugar only occupies an insignificant volume in the solution, we can assume that the volume of the solvent (water) in the original solution is approximately 50 cm³.
3. Mass of sugar per unit volume of solvent:
To calculate the solubility, we divide the mass of sugar by the volume of solvent, so:
Solubility = (Mass of sugar) / (Volume of solvent)
Solubility = (34.2 g) / (50 cm³)
4. Express the solubility in g/100g solvent or g/100mL solvent:
Since we have calculated the solubility in terms of g/cm³, we can simply multiply by 100 to obtain the solubility in g/100mL solvent:
Solubility = (34.2 g / 50 cm³) x 100
Solubility ≈ 68.4 g/100mL solvent
So, the solubility of sugar at 40°C is approximately 68.4 g per 100 mL of solvent.