Answer :

To determine the correct name of the ionic compound [tex]\(LiC_2H_3O_2\)[/tex], we identify the cation and the anion that make up this compound.

1. Identify the cation:
- The cation in this compound is [tex]\(Li^+\)[/tex], which is the lithium ion.

2. Identify the anion:
- The anion in this compound is [tex]\(C_2H_3O_2^-\)[/tex], which is known as the acetate ion.

3. Combine the names of the cation and the anion:
- The name of the cation (Li) is lithium.
- The name of the anion (C[tex]\(_2\)[/tex]H[tex]\(_3\)[/tex]O[tex]\(_2\)[/tex]) is acetate.

4. Determine the compound name:
- When we combine the names, we get lithium acetate.

Thus, the correct name of the ionic compound [tex]\(LiC_2H_3O_2\)[/tex] is lithium acetate.

Out of the provided choices:
- lithium carbonate
- lithium chlorate
- lithium chromate
- lithium acetate

The correct name is lithium acetate. This corresponds to the fourth choice.