pH of saturated solution of silver salt of monobasic acid HA is found ...
PH of a solution is a measure of its acidity or alkalinity. It is defined as the negative logarithm (base 10) of the concentration of hydrogen ions (H+) in the solution.
Given that the pH of the saturated solution of the silver salt AgA is 9, we can determine the concentration of H+ ions in the solution.
To find the concentration of H+ ions, we can use the formula:
pH = -log[H+]
9 = -log[H+]
Taking the antilog of both sides of the equation, we get:
[H+] = 10^(-9)
Now, we can relate the concentration of H+ ions to the dissociation of the monobasic acid HA. The dissociation of the acid can be represented by the following equation:
HA ⇌ H+ + A-
The dissociation constant (Ka) for the acid HA is given as 10^(-10).
Using the expression for Ka, we can write:
[H+][A-]/[HA] = 10^(-10)
Since the solution is saturated with the silver salt AgA, the concentration of A- ions is equal to the concentration of AgA. Therefore, we can substitute [A-] with [AgA] in the equation:
[H+][AgA]/[HA] = 10^(-10)
Since AgA is sparingly soluble, we can assume that its concentration is very small compared to the concentration of HA. Therefore, we can neglect the concentration of [AgA] in the denominator of the equation.
[H+]/[HA] ≈ 10^(-10)
Given that the pH of the solution is 9, we can substitute the concentration of H+ ions ([H+]) with 10^(-9) in the equation:
10^(-9)/[HA] ≈ 10^(-10)
Simplifying the equation, we get:
[HA] ≈ 10^(-9)
Therefore, the concentration of the monobasic acid HA is approximately 10^(-9) M.
Lastly, we can calculate the solubility product (Ksp) of the sparingly soluble salt AgA using the formula:
Ksp = [Ag+][A-]
Since the concentration of A- ions is equal to the concentration of AgA, we can substitute [A-] with [AgA] in the equation:
Ksp = [Ag+][AgA]
Given that the concentration of AgA is approximately 10^(-9) M, we can substitute this value in the equation:
Ksp = [Ag+](10^(-9))
Since the concentration of Ag+ ions is not given, we cannot determine the exact value of Ksp. However, we can conclude that the Ksp value will be on the order of 10^(-9).
Therefore, the correct answer is option A) 1.1 x 10^(-11).
pH of saturated solution of silver salt of monobasic acid HA is found ...
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