At $\mathrm{T}(\mathrm{K})$, the solubility product of AX is $10^{-10}$. What is the molar solubility of AX…

At $\mathrm{T}(\mathrm{K})$, the solubility product of AX is $10^{-10}$. What is the molar solubility of AX in 0.1 M HX solution?
  1. $10^{-5}$
  2. $10^{-10}$
  3. $10^{-9}$
  4. $10^{-8}$

Solution

Solubility product $\left(\mathrm{K}_{\mathrm{sp}}\right)$ of $\mathrm{AX}=10^{-10}$ $\begin{aligned} & {\left[\mathrm{H}^{+}\right]=\left[\mathrm{X}^{-}\right]=10^{-1} \mathrm{M}} \\ & {\left[\mathrm{~K}_{\mathrm{sp}}\right]=\left[\mathrm{H}^{+}\right]\left[\mathrm{X}^{-}\right]} \\ & 10^{-10}=\left[10^{-1}\right] \times[\mathrm{S}] \\ & \therefore \quad \mathrm{S}=\frac{10^{-10}}{10^{-1}}=10^{-9} \end{aligned}$

Asked in: AP EAMCET 2024 (21 May Shift 1)

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