Conductivity of a saturated solution of ${\mathrm{Co}}_2\left[\mathrm{Fe}{\left(\mathrm{CN}\right)}_6\right]$ is and that of water used is $2\times {10}^{-6}{\mathrm{\Omega }}^{-1}{\mathrm{cm}}^{-1}$. The molar ionic conductivities of ${\mathrm{Co}}^{2+}$and ${\left[\mathrm{Fe}{\left(\mathrm{CN}\right)}_6\right]}^{4-}$ are $106{\mathrm{\Omega }}^{-1}{\mathrm{cm}}^2{\mathrm{mol}}^{-1}$and $444{\mathrm{\Omega }}^{-1}{\mathrm{cm}}^2{\mathrm{mol}}^{-1}$respectively. The correct statement(s) among the following is (are)

 

Limiting molar conductivity of ${\mathrm{Co}}_2\left[\mathrm{Fe}{\left(\mathrm{CN}\right)}_6\right]$ is $550{\mathrm{\Omega }}^{-1}{\mathrm{cm}}^2{\mathrm{mol}}^{-1}$

Solubility of $C{o}_2\left[Fe{\left(CN\right)}_6\right]$ in water at 298 K is $2.5\times {10}^{-9}M$

Solubility product of $C{o}_2\left[Fe{\left(CN\right)}_6\right]$ is $6.25\times {10}^{-17}{M}^3$

Addition of few drops of 0.01 M solution of $K_4\left[Fe{\left(CN\right)}_6\right]$ increases the conductivity of the solution.