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The solubility of an ionic compound MX ( molar mass = 323 g/mol) is 0.00000254 g/mol. What is Ksp for this compound?

User Zglin
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Final answer:

The solubility product constant (Ksp) for the compound MX can be calculated using the molar solubility of the compound. The molar solubility is obtained by dividing the solubility by the molar mass of the compound. Using the molar solubility, the Ksp can be calculated by multiplying the concentrations of the ions formed in solution.

Step-by-step explanation:

The solubility product constant (Ksp) is a measure of the extent to which an ionic compound dissolves in water. It is the equilibrium constant for the reaction that occurs when the compound dissociates into its constituent ions in solution. To calculate the Ksp for the compound MX, you need to know the concentration of the ions in solution, which can be determined from the molar solubility.

The molar solubility (in moles per liter) can be calculated by dividing the solubility (in grams per liter) by the molar mass of the compound. In this case, the solubility of MX is given as 0.00000254 g/mol. The molar mass of MX is 323 g/mol, so the molar solubility is:

Molar solubility = (0.00000254 g/mol) / (323 g/mol)

= 7.87 x 10-9 M

The Ksp for MX can then be calculated using the molar solubility. Since the compound MX dissociates into one M+ ion and one X- ion, the expression for Ksp is:

Ksp = [M+][X-] = (7.87 x 10-9 M)(7.87 x 10-9 M)

Ksp = 6.19 x 10-17