If a 0.10 M solution of silver fluoride, AgF, is mixed with a 0.10 M solution of barium acetate, Ba(C2H3O2)2, a pecipitate (ppt.) forms: AgF + Ba(C2H3O2)2--> ppt.

In order to identify the precipitating ions, you conduct some experimental tests.
a) what is the purpose of this test (the solutions are 0.1 M):
AgF + NaC2H3O2--> ?
b) what do the test results below tell you about the AgF + Ba(C2H3O2)2 reactions?
AgF + Ba(NO3)2 --> precipitate (properties are identical to those of the ppt. formed in the AgF + Ba(C2H3O2)2 reaction)
c) which 0.10 M test reagant combination below did you use to directly test the hypothesis that silver ions are critical to precipitate formation?
AgF + Ba(NO3)2 NaF + Ba(C2H3O2)2 AgF + KC2H3O2

You conclude that the ppt is either BaF2 or AgC2H3O2.

a)You know NaF is soluble. A ppt here will tell you if AgC2H3O2 ppts.
b)Since you know AgNO3 is soluble, if a ppt forms it must be BaF2. Since that is identical to the ppt formed initially, I would conclude that the original ppt was BaF2.
c) I don't know what reagent you picked but NaF/Ba(NO3)2 combo looks good to me. You know Ba(NO3)2 is soluble, you know NaF is soluble, a ppt MUST be due to BaF2.

a) The purpose of the test AgF + NaC2H3O2 is to determine if a precipitate forms when silver fluoride reacts with sodium acetate. This test is conducted to identify the specific ions involved in the formation of the precipitate.

To perform the test, you would mix equal volumes of the 0.1 M silver fluoride solution (AgF) and the 0.1 M sodium acetate solution (NaC2H3O2). The reaction that occurs is:

AgF + NaC2H3O2 -> AgC2H3O2 (precipitate) + NaF

If a precipitate forms, it indicates that the silver cation (Ag+) from silver fluoride combines with the acetate anion (C2H3O2-) from sodium acetate to form silver acetate, which is insoluble and appears as a precipitate.

b) The test results for the reaction AgF + Ba(NO3)2 -> precipitate (with properties identical to those of the precipitate formed in the AgF + Ba(C2H3O2)2 reaction) indicate that the precipitate formed in both reactions is the same.

This suggests that the precipitate is not dependent on the specific anion (C2H3O2-) from barium acetate but rather the silver cation (Ag+). The presence of the same precipitate in both reactions suggests that the reaction between silver fluoride and barium nitrate also involves the formation of silver compounds.

c) Based on the hypothesis that silver ions are critical to precipitate formation, the 0.1 M test reagent combination used to directly test this hypothesis would be AgF + Ba(NO3)2.

By mixing equal volumes of the 0.1 M silver fluoride solution (AgF) and the 0.1 M barium nitrate solution (Ba(NO3)2), you can observe whether a precipitate forms. If a precipitate does form, it further supports the hypothesis that silver ions are essential for the formation of the precipitate.