Given that `I_(2)+2e^(-) rarr 2I^(c-)," "E^(c-)=0.54V`
`Br_(2)+2e^(-) rarr 2Br^(-)," "E^(c-)=1.69V`
Predict which of the following is true.

Options

A. `I^(c-)` ions will be able to reduce bromine.
B. `Br^(c-)` ions will be able to reduce iodine.
C. Iodine will be able to reduce broming.
D. Bromine will be able to reduce iodide ions.

Explanation

To solve the problem, we need to analyze the given half-reactions and their standard reduction potentials. The goal is to determine which species can reduce the other based on their reduction potentials.

### Step-by-Step Solution:

1. **Identify the Half-Reactions and Their Potentials:**
- The first half-reaction is:
\[ I_2 + 2e^- \rightarrow 2I^- \]
with a standard reduction potential \( E^\circ = 0.54 \, V \).
- The second half-reaction is:
\[ Br_2 + 2e^- \rightarrow 2Br^- \]
with a standard reduction potential \( E^\circ = 1.69 \, V \).

2. **Compare the Standard Reduction Potentials:**
- The standard reduction potential for bromine (\( E^\circ = 1.69 \, V \)) is greater than that for iodine (\( E^\circ = 0.54 \, V \)).
- This indicates that bromine is a stronger oxidizing agent than iodine.

3. **Determine Which Species Can Reduce the Other:**
- A species with a higher reduction potential can reduce a species with a lower reduction potential.
- Since \( Br_2 \) has a higher potential than \( I_2 \), it means \( Br_2 \) can reduce \( I^- \) to \( I_2 \).
- Conversely, \( I^- \) cannot reduce \( Br_2 \) because it has a lower potential.

4. **Identify the Possible Statements:**
- From the options given:
- **(a)** \( I^- \) ions will be able to reduce bromine.
- **(b)** \( Br^- \) ions will be able to reduce iodine.
- **(c)** Iodine will be able to reduce bromine.
- **(d)** Bromine will be able to reduce iodide ions.

5. **Evaluate the Statements:**
- **(a)** False: \( I^- \) cannot reduce \( Br_2 \).
- **(b)** False: \( Br^- \) cannot reduce \( I_2 \).
- **(c)** False: Iodine cannot reduce bromine.
- **(d)** True: Bromine can reduce iodide ions.

6. **Conclusion:**
- The correct statement is that bromine will be able to reduce iodide ions.

### Final Answer:
The correct statement is: **Bromine will be able to reduce iodide ions.**