Question

What is the solubility of cd₃(po₄)₂ in water? (ksp of cd₃(po₄)₂ is 2.5 × 10⁻³³)

Answer 1

The solubility of Cd3(PO4)2 in water is found by setting up an equation based on its Ksp value and the molar solubility 's'. By solving for 's', the molar solubility can be determined.

Step-by-step explanation:

To calculate the solubility of Cd3(PO4)2, let's first write down the dissociation equation:

Cd3(PO4)2(s) ⇌ 3Cd2+(aq) + 2PO43-(aq)

The solubility product constant (Ksp) for Cd3(PO4)2 is given as 2.5 × 10−33. If 's' is the molar solubility, the concentrations at equilibrium can be expressed as [Cd2+] = 3s and [PO43−] = 2s. Substituting these into the expression for the Ksp, we have:

(3s)3 x (2s)2 = 2.5 × 10−33

This simplifies to 108s5 = 2.5 × 10−33, and solving for 's' gives us the molar solubility of Cd3(PO4)2 in water.

Answer 2

The solubility of Cd₃(PO₄)₂ in water can be determined using the concept of solubility product constant (Ksp). We can calculate the concentrations of Cd²+ and PO₄³¯ ions in the saturated solution and solve for the molar solubility 'x' by using the Ksp expression. This will give us the solubility of Cd₃(PO₄)₂ in water.

Step-by-step explanation:

The solubility of Cd₃(PO₄)₂ in water can be determined using the concept of solubility product constant (Ksp). The Ksp of Cd₃(PO₄)₂ is given as 2.5 × 10⁻³³. In order to find the solubility, we need to calculate the concentrations of Cd²+ and PO₄³¯ ions in the saturated solution.

Using stoichiometry, we can determine that for every 1 mole of Cd₃(PO₄)₂ that dissolves, it produces 3 moles of Cd²+ and 2 moles of PO₄³¯ ions. Let's consider 'x' as the molar solubility of Cd₃(PO₄)₂, then the concentration of Cd²+ and PO₄³¯ ions will be 3x and 2x respectively.

Now, using the Ksp expression, Ksp = [Cd²+]³[PO₄³¯]², we can substitute the concentrations of Cd²+ and PO₄³¯ ions and solve for 'x'. Plugging in the given Ksp value of 2.5 × 10⁻³³, we can write the equation as:

2.5 × 10⁻³³ = (3x)³(2x)²

Solving this equation will give us the molar solubility 'x' of Cd₃(PO₄)₂ in water.