Which of the following compounds is insouluble in water?

- (NH4)2CO3
- AgBr
- CuSO4
- KI
- LiNO3

Solubility rules:

Learn them, flash cards are most helpful.

http://www.csudh.edu/oliver/chemdata/solrules.htm

To determine which of the following compounds is insoluble in water, we need to refer to solubility rules.

Solubility rules, also known as solubility guidelines, are a set of general statements that describe the solubility behavior of different compounds in water.

Here are the solubility rules that can help us answer this question:

1. Most nitrate (NO3-) compounds are soluble.
2. Most alkali metal (group 1) and ammonium (NH4+) compounds are soluble.
3. Most chloride (Cl-), bromide (Br-), and iodide (I-) compounds are soluble, except when combined with silver (Ag+), lead (Pb2+), or mercury (Hg2+) ions.
4. Most sulfate (SO42-) compounds are soluble, except when combined with barium (Ba2+), strontium (Sr2+), lead (Pb2+), calcium (Ca2+), or silver (Ag+) ions.

Now, let's look at each compound from the options:

- (NH4)2CO3: According to rule 2, ammonium compounds are generally soluble. So, (NH4)2CO3 is soluble in water.
- AgBr: According to rule 3, bromide compounds are generally soluble, except when combined with silver ions (Ag+). Therefore, AgBr is insoluble in water.
- CuSO4: According to rule 4, sulfate compounds are generally soluble. Hence, CuSO4 is soluble in water.
- KI: According to rule 3, iodide compounds are generally soluble. Therefore, KI is soluble in water.
- LiNO3: According to rule 1, nitrate compounds are generally soluble. Hence, LiNO3 is soluble in water.

Thus, out of the given compounds, AgBr is the one that is insoluble in water.