Copper plays a vital role as a trace mineral for biological processes. The amount of dietary copper needed by an adult each day is about 30 μg/kg of body weight, and blood plasma normally has a copper concentration of 1 mg/L.Copper is an essential element, and toxic effects are not common. However, given sufficient exposure to high levels by inhalation, absorption, or ingestion from sources such as industrial hazards or contaminated groundwater, copper toxicity can occur.Salts that are more soluble tend to exhibit higher toxicity when ingested, but the solubilities of copper salts vary and are also temperature-dependent, as shown by selected examples in Figure 1.Figure 1 The solubility of selected copper salts in distilled water with increasing temperatureSome copper salts have solubilities much lower than those shown in Figure 1. For example, CuF2 has a solubility of only 0.075 g per 100 g of water (at 25 °C). This indicates that CuF2 dissociates in water only to a small extent (Reaction 1) and that the equilibrium favors the undissociated salt, giving CuF2 a solubility product constant of Ksp = 1.6 × 10−6.CuF2(s) ⇄Ksp Cu2+(aq)+2 F−(aq)CuF2s ⇄𝐾sp Cu2+aq+2 F-aqReaction 1Compound-specific properties can also impact solubility. In CuF2, the dissociated F− ion is mildly basic (pKb = 10.8), causing the equilibrium to be influenced by the pH of the solution.Specific characteristics of copper can also play a role. For example, copper ions in solution express an affinity to form coordinate bonds with available lone-pair electrons of nitrogen atoms in amines (Reaction 2).Cu2+(aq)+ ∙∙NR3(aq) ⇄ [Cu−NR3]2+(aq)Cu2+aq+ ••NR3aq ⇄ [Cu-NR3]2+aqReaction 2If excess amine ligands are present, coordinate bonds like that shown in Reaction 2 will continue to form until each Cu2+ ion in solution is coordinated with four nitrogen atoms. This acquisition of copper ions by ligands in solution can also impact the solubility equilibrium of copper salts by forming soluble coordination complexes. Question 27A saturated solution of CuF2 dissolved in pure water at 25 °C has a Cu2+ ion concentration of 7.4 × 10−3 M. If measured at the same temperature, what is the Cu2+ ion concentration in a saturated solution of CuF2 dissolved in water that also contains 0.20 M NaF?
Question
Copper plays a vital role as a trace mineral for biological processes. The amount of dietary copper needed by an adult each day is about 30 μg/kg of body weight, and blood plasma normally has a copper concentration of 1 mg/L.Copper is an essential element, and toxic effects are not common. However, given sufficient exposure to high levels by inhalation, absorption, or ingestion from sources such as industrial hazards or contaminated groundwater, copper toxicity can occur.Salts that are more soluble tend to exhibit higher toxicity when ingested, but the solubilities of copper salts vary and are also temperature-dependent, as shown by selected examples in Figure 1.Figure 1 The solubility of selected copper salts in distilled water with increasing temperatureSome copper salts have solubilities much lower than those shown in Figure 1. For example, CuF2 has a solubility of only 0.075 g per 100 g of water (at 25 °C). This indicates that CuF2 dissociates in water only to a small extent (Reaction 1) and that the equilibrium favors the undissociated salt, giving CuF2 a solubility product constant of Ksp = 1.6 × 10−6.CuF2(s) ⇄Ksp Cu2+(aq)+2 F−(aq)CuF2s ⇄𝐾sp Cu2+aq+2 F-aqReaction 1Compound-specific properties can also impact solubility. In CuF2, the dissociated F− ion is mildly basic (pKb = 10.8), causing the equilibrium to be influenced by the pH of the solution.Specific characteristics of copper can also play a role. For example, copper ions in solution express an affinity to form coordinate bonds with available lone-pair electrons of nitrogen atoms in amines (Reaction 2).Cu2+(aq)+ ∙∙NR3(aq) ⇄ [Cu−NR3]2+(aq)Cu2+aq+ ••NR3aq ⇄ [Cu-NR3]2+aqReaction 2If excess amine ligands are present, coordinate bonds like that shown in Reaction 2 will continue to form until each Cu2+ ion in solution is coordinated with four nitrogen atoms. This acquisition of copper ions by ligands in solution can also impact the solubility equilibrium of copper salts by forming soluble coordination complexes. Question 27A saturated solution of CuF2 dissolved in pure water at 25 °C has a Cu2+ ion concentration of 7.4 × 10−3 M. If measured at the same temperature, what is the Cu2+ ion concentration in a saturated solution of CuF2 dissolved in water that also contains 0.20 M NaF?
Solution
To answer this question, we need to understand the concept of common ion effect. The common ion effect is the decrease in solubility of a salt when a common ion is added to the solution. In this case, the common ion is F- from NaF.
The solubility product constant (Ksp) for CuF2 is given as 1.6 x 10^-6. This can be represented by the equation:
CuF2 ⇄ Cu2+ + 2F-
The Ksp expression for this reaction is:
Ksp = [Cu2+][F-]^2
In a saturated solution of CuF2 in pure water, the Cu2+ ion concentration is given as 7.4 x 10^-3 M. Since the reaction produces two F- ions for every Cu2+ ion, the F- ion concentration in this solution is twice the Cu2+ ion concentration, or 2(7.4 x 10^-3 M) = 1.48 x 10^-2 M.
Substituting these concentrations into the Ksp expression gives:
1.6 x 10^-6 = (7.4 x 10^-3)(1.48 x 10^-2)^2
Solving this equation for [Cu2+] gives the Cu2+ ion concentration in the saturated solution of CuF2 in pure water.
Now, let's consider the solution of CuF2 in water that also contains 0.20 M NaF. The NaF will dissociate completely to give a F- ion concentration of 0.20 M. This is the common ion.
The presence of the common ion will shift the equilibrium to the left, decreasing the solubility of CuF2 and thus decreasing the Cu2+ ion concentration.
We can find the new Cu2+ ion concentration by substituting the new F- ion concentration into the Ksp expression:
1.6 x 10^-6 = Cu2+^2
Solving this equation for [Cu2+] gives the Cu2+ ion concentration in the saturated solution of CuF2 in water that also contains 0.20 M NaF.
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