Final answer:
To calculate the molar solubility of Sn(OH)2 in a buffer solution containing equal concentrations of NH3 and NH4+, we can use the Henderson-Hasselbalch equation and the solubility product constant (Ksp) expression.
Step-by-step explanation:
To calculate the molar solubility of Sn(OH)2 in a buffer solution containing equal concentrations of NH3 and NH4+, we need to consider the ionic equation for the dissolution of Sn(OH)2 in water:
Sn(OH)2(s) ⇌ Sn2+(aq) + 2OH-(aq)
Since both NH3 and NH4+ are present in equal concentrations, we can use the Henderson-Hasselbalch equation to calculate the concentration of OH-:
pOH = pKa + log([A-]/[HA])
where [A-] is the concentration of the conjugate base (NH4+) and [HA] is the concentration of the acid (NH3). In this case, the pKa is the pKb of NH4+ (which can be calculated from the Kb of NH3).
Once we have the pOH, we can use the relation pOH = -log[OH-] to calculate the concentration of OH-. Finally, we can use the concentration of OH- to calculate the molar solubility of Sn(OH)2 using the solubility product constant (Ksp) expression:
Ksp = [Sn2+][OH-]²
By substituting the calculated concentration of OH- into the Ksp expression, we can solve for [Sn2+]. This will give us the molar solubility of Sn(OH)2 in the buffer solution.