To determine molar solubility of an unknown metal hydroxide, `M(OH)_(3)` in `0.00101M NaOH,` Jane adds `0.250g` of `M(OH)_(3)` solid to `200mL` of a `0.00101M NaOH` solution and stirred for a long time.A cloudy solution is formed. The undissolved hydroxide is separated from the solution by filtratin `25.00mL` of filtrate is pipetted into a flask `30mL` of water is added adn then the solution is titrated with `0.00444M HCl` solution `13mL` of `HCl` is used for this titration.
The solubility product of `M(OH)_(3)` is

Options

A. `4.8xx10^(-9)`
B. `5.6xx10^(-11)`
C. `2.1xx10^(-11)`
D. `5.34xx10^(-12)`

Answer

D