If solubility product of $\mathrm{Z}{\mathrm{r}}_3{\left(\mathrm{P}{\mathrm{O}}_4\right)}_4$ is denoted by ${\mathrm{K}}_{\mathrm{s}\mathrm{p}}$ and its molar solubility is denoted by $\mathrm{S}$ , then which of the following relation between $\mathrm{S}$ and ${\mathrm{K}}_{\mathrm{s}\mathrm{p}}$ is correct?

• A

  $\mathrm{S}={\left(\frac{{\mathrm{K}}_{\mathrm{s}\mathrm{p}}}{144}\right)}^{\frac{1}{6}}$
• Correct answer
  B

  $\mathrm{ }\mathrm{S}={\left(\frac{{\mathrm{K}}_{\mathrm{s}\mathrm{p}}}{6912}\right)}^{\frac{1}{7}}$
• C

  $\mathrm{S}={\left(\frac{{\mathrm{K}}_{\mathrm{s}\mathrm{p}}}{929}\right)}^{\frac{1}{9}}$
• D

  $\mathrm{S}={\left(\frac{{\mathrm{K}}_{\mathrm{s}\mathrm{p}}}{216}\right)}^{\frac{1}{7}}$

Hence, the correct answer is option: 'B'.