`E^@` values of three metals are listed below.
`{:(Zn_((aq))^(2+) + 2e^(-) to Zn_((s)),, E^@=-0.76V),(Fe_((aq))^(2+) + 2e^(-) to 2Fe(s) , , E^@=-0.44 V),(Sn_((aq))^(2+)+2e^(-) to Sn_((s)) ,, E^@=-0.14 V) :}`
Which of the following statements are correct on the basis of the above information ?
(i)Zinc will be corroded in preference to iron if zinc coating is broken on the surface.
(ii)If iron is coated with tin and the coating is broken on the surface then iron will be corroded .
(iii)Zinc is more reactive than iron but tin is less reactive then iron.

Options

A. (i) and (ii) only
B. (ii)and (iii) only
C. (i),(ii) and (iii)
D. (i) and (iii) only

Explanation

To solve the problem, we need to analyze the given standard reduction potentials (E°) for the three metals: Zinc (Zn), Iron (Fe), and Tin (Sn). The reduction potentials are as follows:

1. \( \text{Zn}^{2+} + 2e^- \rightarrow \text{Zn(s)}, \quad E° = -0.76 \, V \)
2. \( \text{Fe}^{2+} + 2e^- \rightarrow \text{Fe(s)}, \quad E° = -0.44 \, V \)
3. \( \text{Sn}^{2+} + 2e^- \rightarrow \text{Sn(s)}, \quad E° = -0.14 \, V \)

### Step-by-Step Solution:

**Step 1: Analyze Statement (i)**
"Zinc will be corroded in preference to iron if zinc coating is broken on the surface."

- To determine if zinc will corrode in preference to iron, we need to compare the reduction potentials. The more negative the reduction potential, the more likely the metal will oxidize (corrode).
- Zinc has a reduction potential of -0.76 V and iron has -0.44 V. Since zinc is more negative, it will oxidize (corrode) in preference to iron.
- Therefore, this statement is **correct**.

**Step 2: Analyze Statement (ii)**
"If iron is coated with tin and the coating is broken on the surface then iron will be corroded."

- In this case, we need to compare the reduction potentials of iron and tin.
- Iron has a reduction potential of -0.44 V and tin has -0.14 V. Since iron has a more negative potential, it will oxidize in preference to tin.
- Therefore, if the tin coating is broken, iron will corrode. This statement is **incorrect**.

**Step 3: Analyze Statement (iii)**
"Zinc is more reactive than iron but tin is less reactive than iron."

- Reactivity can be inferred from the standard reduction potentials. A more negative E° value indicates a more reactive metal.
- Zinc (-0.76 V) is more reactive than iron (-0.44 V), which is correct.
- However, tin (-0.14 V) is actually more reactive than iron, not less. Therefore, this statement is **incorrect**.

### Conclusion:
- Statement (i) is **correct**.
- Statement (ii) is **incorrect**.
- Statement (iii) is **incorrect**.

### Final Answer:
Only statement (i) is correct.