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Assume you add 30g of calcite (CaCO3) to 1L solution containing 0.01M NaCl. What would be the concentration of Ca2+ in solution? Assume that the reaction is in equilibrium and at 25°C.

Question

Assume you add 30g of calcite (CaCO3) to 1L solution containing 0.01M NaCl. What would be the concentration of Ca2+ in solution? Assume that the reaction is in equilibrium and at 25°C.

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Solution

To answer this question, we need to consider the solubility product constant (Ksp) of calcite (CaCO3) at 25°C. The Ksp of calcite at 25°C is approximately 3.36 x 10^-9.

The dissolution of calcite can be represented by the following chemical equation:

CaCO3(s) ⇌ Ca2+(aq) + CO3 2-(aq)

According to the equation, the dissolution of one mole of calcite will produce one mole of Ca2+ ions. Therefore, the concentration of Ca2+ ions in the solution will be equal to the concentration of dissolved calcite.

The Ksp expression for this reaction is:

Ksp = [Ca2+][CO3 2-]

We can assume that the concentration of CO3 2- ions is negligible because CO3 2- is a common ion in the solution and its concentration will be largely determined by the NaCl, not the dissolved calcite.

Therefore, we can simplify the Ksp expression to:

Ksp ≈ [Ca2+]

Now we can solve for [Ca2+]:

[Ca2+] ≈ Ksp [Ca2+] ≈ 3.36 x 10^-9 M

So, the concentration of Ca2+ ions in the solution will be approximately 3.36 x 10^-9 M.

However, this is the theoretical concentration. The actual concentration may be slightly lower due to the common ion effect and other factors.

This problem has been solved

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