Answer :

To determine the name of the ion with the formula [tex]\( \text{C}_2\text{H}_3\text{O}_2^{-} \)[/tex], we shall analyze the given molecular formula and match it with common ion names.

1. Identification of the Molecular Formula:
- The formula [tex]\( \text{C}_2\text{H}_3\text{O}_2^{-} \)[/tex] represents an ion composed of 2 carbon (C) atoms, 3 hydrogen (H) atoms, and 2 oxygen (O) atoms, carrying a negative charge (indicated by the superscript [tex]\( - \)[/tex]).

2. Matching with Common Ion Names:
- Let's look at the provided options:
- Cyanide: Typically, cyanide is represented by the chemical formula [tex]\( \text{CN}^{-} \)[/tex].
- Acetate: The acetate ion is commonly represented by [tex]\( \text{CH}_3\text{COO}^{-} \)[/tex], which simplifies to [tex]\( \text{C}_2\text{H}_3\text{O}_2^{-} \)[/tex].
- Bicarbonate: Bicarbonate is known by the chemical formula [tex]\( \text{HCO}_3^{-} \)[/tex].
- Hydronium: Hydronium is expressed as [tex]\( \text{H}_3\text{O}^+ \)[/tex], indicating a positive charge.

3. Conclusion:
- The molecular formula [tex]\( \text{C}_2\text{H}_3\text{O}_2^{-} \)[/tex] corresponds to the acetate ion.

Thus, the name of the ion [tex]\( \text{C}_2\text{H}_3\text{O}_2^{-} \)[/tex] is acetate.