The solubility of copper(II) tetraoxosulfate(VI), \text{CuSO}_4, at 60^\circ\text{C} and 2… — JAMB UTME

The solubility of copper(II) tetraoxosulfate(VI), $\text{CuSO}_4$ , at $60^\circ\text{C}$ and $20^\circ\text{C}$ is $40.0\text{ g}$ and $21.0\text{ g}$ per $100\text{ g}$ of water respectively. Calculate the mass of $\text{CuSO}_4$ in grams that will crystallize out of solution when a saturated solution containing $250\text{ g}$ of water is cooled from $60^\circ\text{C}$ to $20^\circ\text{C}$ .

Cevap: 47.5 g

Cevap

The mass of

\text{CuSO}_4

that crystallizes out of solution is

47.5\text{ g}

Subtracting the solubility at

20^\circ\text{C}

(

21.0\text{ g}

) from the solubility at

60^\circ\text{C}

(

40.0\text{ g}

) yields

19.0\text{ g}

\text{CuSO}_4

deposited per

100\text{ g}

of water. Multiplying by the ratio of actual solvent mass to reference solvent mass (

250\text{ g} / 100\text{ g} = 2.5

) gives

47.5\text{ g}

Adım Adım Çözüm

Determine the mass of

\text{CuSO}_4

deposited per

100\text{ g}

of water on cooling.

40.0\text{ g} - 21.0\text{ g} = 19.0\text{ g}

per

100\text{ g}

of water.

The mass of solute precipitated per

100\text{ g}

of solvent is equal to the difference in solubility between the higher and lower temperatures.

Calculate the mass of solute deposited for

250\text{ g}

of water.

19.0\text{ g} \times \frac{250\text{ g}}{100\text{ g}} = 47.5\text{ g}

The amount of solute crystallized out is directly proportional to the total mass of solvent present.

Anahtar Kavram

Crystallization and Mass of Solute Deposited on Cooling

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