$\left[\mathrm{Co}{\left({\mathrm{NH}}_3\right)}_5\left({\mathrm{SO}}_4\right)\right]\mathrm{Br}\text{ and }\left[\mathrm{Co}{\left({\mathrm{NH}}_3\right)}_5\mathrm{Br}\right]{\mathrm{SO}}_4$ are ionization isomers to each other. Which of the following methods are suitable to distinguish these isomers?

With ${\mathrm{AgNO}}_3$, first complex gives AgBr recipitate but the second does not. Similarly  with ${\mathrm{BaCl}}_2$, second complex gives ${\mathrm{BaSO}}_4$ precipitate but the first does not. Electrical conductivity of second complex is more than the first. Solid state magnetic moment is same for these two isomers.