By referring to Figure 13.15, determine the mass of each of the following salts required to form a saturated solution in 250 g of water at 30 °C: (c) Ce₂(SO₄)₃.

Verified step by step guidance

1. Identify the solubility of Ce_2(SO_4)_3 at 30 °C from Figure 13.15. This value is typically given in grams of solute per 100 grams of water.
2. Since the solubility is given per 100 grams of water, calculate the amount of Ce_2(SO_4)_3 needed for 250 grams of water. Use the formula: \( \text{mass of salt} = \text{solubility} \times \frac{250}{100} \).
3. Multiply the solubility value by 2.5 (since 250 g of water is 2.5 times 100 g) to find the mass of Ce_2(SO_4)_3 required to form a saturated solution.
4. Ensure that the units are consistent throughout the calculation to avoid any errors.
5. Review the calculation to confirm that the mass of Ce_2(SO_4)_3 is correctly determined for a saturated solution in 250 g of water at 30 °C.

Key Concepts

Solubility

Solubility is the maximum amount of a solute that can dissolve in a given quantity of solvent at a specific temperature. It is typically expressed in grams of solute per 100 grams of solvent. Understanding solubility is crucial for determining how much of a salt, like Ce2(SO4)3, can be dissolved in water to form a saturated solution.

Saturated Solution

A saturated solution is one in which the maximum amount of solute has been dissolved in the solvent at a given temperature, resulting in an equilibrium between the dissolved and undissolved solute. In this context, it is important to know that any additional solute will not dissolve and will remain as a solid.

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is essential for converting between the mass of a solute and the number of moles, which helps in calculating how much of a salt is needed to achieve saturation in a specific volume of solvent.