Write the Ksp expression for the sparingly soluble compound barium fluoride, BaF2. Ksp If either the numerator or denominator is 1, please enter 1.
Basics in Organic Reactions Mechanisms
In organic chemistry, the mechanism of an organic reaction is defined as a complete step-by-step explanation of how a reaction of organic compounds happens. A completely detailed mechanism would relate the first structure of the reactants with the last structure of the products and would represent changes in structure and energy all through the reaction step.
Heterolytic Bond Breaking
Heterolytic bond breaking is also known as heterolysis or heterolytic fission or ionic fission. It is defined as breaking of a covalent bond between two different atoms in which one atom gains both of the shared pair of electrons. The atom that gains both electrons is more electronegative than the other atom in covalent bond. The energy needed for heterolytic fission is called as heterolytic bond dissociation energy.
Polar Aprotic Solvent
Solvents that are chemically polar in nature and are not capable of hydrogen bonding (implying that a hydrogen atom directly linked with an electronegative atom is not found) are referred to as polar aprotic solvents. Some commonly used polar aprotic solvents are acetone, DMF, acetonitrile, DMSO, etc.
Oxygen Nucleophiles
Oxygen being an electron rich species with a lone pair electron, can act as a good nucleophile. Typically, oxygen nucleophiles can be found in these compounds- water, hydroxides and alcohols.
Carbon Nucleophiles
We are aware that carbon belongs to group IV and hence does not possess any lone pair of electrons. Implying that neutral carbon is not a nucleophile then how is carbon going to be nucleophilic? The answer to this is that when a carbon atom is attached to a metal (can be seen in the case of organometallic compounds), the metal atom develops a partial positive charge and carbon develops a partial negative charge, hence making carbon nucleophilic.
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![**Writing the \( K_{sp} \) Expression for Barium Fluoride, BaF₂**
To determine the solubility product constant (\( K_{sp} \)) for the sparingly soluble compound barium fluoride (\( \text{BaF}_2 \)), we need to write the equilibrium expression based on its dissociation in water.
**Chemical Equation:**
\[
\text{BaF}_2 (s) \rightleftharpoons \text{Ba}^{2+} (aq) + 2\text{F}^{-} (aq)
\]
**\( K_{sp} \) Expression:**
The \( K_{sp} \) expression is derived from the equilibrium concentrations of the ions:
\[
K_{sp} = [\text{Ba}^{2+}][\text{F}^-]^2
\]
- **Numerator:** The product of the molar concentrations of the ions in solution: \([\text{Ba}^{2+}][\text{F}^-]^2\)
- **Denominator:** Since barium fluoride is a solid at the beginning of the reaction, and solids do not appear in equilibrium expressions, the denominator is 1.
**Remember:** If either the numerator or denominator is 1, please enter '1' in the corresponding place.
This expression helps predict the solubility of BaF₂ in water, aiding in understanding and applying chemical solubility principles.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F756e5f41-24a8-4ad5-bbf6-ede0df93f901%2F1c14bf4d-644b-41a4-8a77-1a339fddc440%2F9r1sf2q_processed.png&w=3840&q=75)
![**Exercise: Writing the Ksp Expression for Calcium Phosphate**
In this exercise, you will learn how to write the solubility product expression (Ksp) for the sparingly soluble compound calcium phosphate, represented by the chemical formula Ca₃(PO₄)₂.
**Ksp Expression:**
The dissociation of calcium phosphate in water can be expressed as:
\[ \text{Ca}_3(\text{PO}_4)_2 (s) \leftrightarrow 3\text{Ca}^{2+} (aq) + 2\text{PO}_4^{3-} (aq) \]
Using this dissociation equation, the Ksp expression is given by:
\[
\text{K}_{sp} = \frac{[\text{Ca}^{2+}]^3 \times [\text{PO}_4^{3-}]^2}{1}
\]
**Important Note:**
- If either the numerator or denominator is 1, please enter 1.
**Diagram:**
- **Box 1** (Numerator): This box represents the expression for the ions in solution, \([\text{Ca}^{2+}]^3 \times [\text{PO}_4^{3-}]^2\).
- **Box 2** (Denominator): If applicable, this box would contain the expression for any coefficients involved in the Ksp equation. In this case, as mentioned, it should be 1.
This exercise is designed to help you understand how to formulate and apply Ksp expressions to assess the solubility of ionic compounds in aqueous solutions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F756e5f41-24a8-4ad5-bbf6-ede0df93f901%2F1c14bf4d-644b-41a4-8a77-1a339fddc440%2Fo0kak6_processed.png&w=3840&q=75)
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