Respuesta :
Answer:
Adding some water to the solution will cause more [tex]Ag_{2}S[/tex] to dissolve is a true statement.
Explanation:
Solubility equilibrium of [tex]Ag_{2}S[/tex] is given as follows-
[tex]Ag_{2}S\rightleftharpoons 2Ag^{+}+S^{2-}[/tex]
Solubility product of [tex]Ag_{2}S[/tex], [tex]K_{sp}=[Ag^{+}]^{2}[S^{2-}][/tex]
- Concentration of [tex]Ag^{+}[/tex] increases when [tex]AgNO_{3}[/tex] is added into solution. But value of [tex]K_{sp}[/tex] is constant at a certain temperature. Hence to keep [tex]K_{sp}[/tex] constant, some [tex]Ag^{+}[/tex] will combine with [tex]S^{2-}[/tex] to produce more [tex]Ag_{2}S[/tex]. So, adding [tex]AgNO_{3}[/tex] to the solution will cause more [tex]Ag_{2}S[/tex] to dissolve is a false statement.
- [tex]K_{sp}[/tex] does not depend on concentration of [tex]Ag_{2}S[/tex]. So, adding some more [tex]Ag_{2}S[/tex] to the solution will cause more [tex]Ag_{2}S[/tex] to dissolve is a false statement.
- Addition of water will increase the volume of solution. Hence concentration of both [tex]Ag^{+}[/tex] and [tex]S^{2-}[/tex] will decrease. So, more [tex]Ag_{2}S[/tex] will dissolve to produce more [tex]Ag^{+}[/tex] and [tex]S^{2-}[/tex] to keep [tex]K_{sp}[/tex] constant. Hence, adding some water to the solution will cause more [tex]Ag_{2}S[/tex] to dissolve is a true statement.
True statement about saturated aqueous solution of Ag₂S is:
C. Adding some water to the solution will cause more to dissolve
What is Solubility product?
It is the maximum product of the ionic concentrations or activities of an electrolyte that at one temperature can continue in equilibrium with the undissolved phase.
Solubility product of , [tex]Ag_2S, K_{sp}=[Ag^+]^2[S^{2-}][/tex]
Addition of water will increase the volume of solution. Hence concentration of both [tex]Ag^+ \text{ and } S^{2-}[/tex] will decrease. So, more Ag₂S will dissolve to produce more [tex]Ag^+ \text{ and } S^{2-}[/tex] to keep solubility product constant.
Hence, adding some water to the solution will cause more to dissolve.
Thus, option C is correct.
Find more information about Solubility product here:
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