suppose you had a sample of water and you knew that either the silver ion or the barium ion were in the water . What negative ion could you add to this water sample that would precipitate out one of the ions but not the other?state which ion would form the precipitate and write its chemical formula?

Add Cl^-. AgCl is insoluble but BaCl2 is quite soluble.

Ag^+(aq) + Cl^-(aq) ==> AgCl(s)

To determine the negative ion that can selectively precipitate either the silver ion or the barium ion, we need to consider the solubility rules for these ions. Solubility rules provide information about the compounds that are soluble or insoluble in water.

Let's start with the solubility rules for silver ions (Ag+):
1. All nitrates (NO3-) are soluble.
2. Most chlorides (Cl-) are soluble, except for those of silver (Ag+), mercury (Hg2+), and lead (Pb2+).
3. Most sulfates (SO4^2-) are soluble, except for those of silver (Ag+), barium (Ba2+), and lead (Pb2+).

Now let's consider the solubility rules for barium ions (Ba2+):
1. All nitrates (NO3-) are soluble.
2. Most chlorides (Cl-) are soluble, except for those of silver (Ag+), mercury (Hg2+), and lead (Pb2+).
3. Most sulfates (SO4^2-) are soluble, except for those of barium (Ba2+), lead (Pb2+), and calcium (Ca2+).

From the solubility rules, we can see that if we add a negative ion that forms an insoluble compound with one ion but not the other, we can selectively precipitate the desired ion.

In this case, we can add the negative ion sulfate (SO4^2-) to selectively precipitate the barium ion (Ba2+). According to the solubility rules, barium sulfate (BaSO4) is insoluble in water and forms a white precipitate.

So, by adding a solution of sulfate ions (SO4^2-) to the water sample, a white precipitate of barium sulfate (BaSO4) would form, indicating the presence of the barium ion.

Please note that this explanation is based on solubility rules, and actual lab experiments and further confirmatory tests might be necessary for accurate identification.