Statement-I : Extraction of iron metal from iron oxide ore is carried out by heating with coke.
Statement-II : The reaction `Fe_(2)O_(3) (s) overset(Delta)rarr Fe(s) +3//2O_(2)(g)` is a spontaneous process at standard condition.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion
B. If both assertion and reason are true but reason is not the correct explanation of assertion
C. If assertion is true but reason is false
D. If both assertion and reason are false

Explanation

To analyze the statements provided in the question, we will evaluate each statement step by step.

### Step 1: Evaluate Statement-I
**Statement-I:** "Extraction of iron metal from iron oxide ore is carried out by heating with coke."

- The extraction of iron is commonly done from iron oxide ores, primarily hematite (Fe₂O₃) or magnetite (Fe₃O₄).
- The process involves heating the ore with coke (a form of carbon) in a blast furnace.
- While coke is indeed used in the extraction process, it is important to note that a flux (like calcium carbonate) is also added to help remove impurities as slag.
- Therefore, while the statement is partially true, it is misleading as it does not mention the role of flux.

**Conclusion for Statement-I:** This statement is misleading and can be considered false due to the omission of important details.

### Step 2: Evaluate Statement-II
**Statement-II:** "The reaction Fe₂O₃ (s) → Fe (s) + 3/2 O₂ (g) is a spontaneous process at standard condition."

- The reaction described involves the reduction of iron(III) oxide (Fe₂O₃) to iron (Fe) and oxygen (O₂).
- This reaction is not spontaneous under standard conditions. In reality, Fe₂O₃ requires a significant amount of heat to reduce to iron, and it typically occurs at high temperatures (around 800-1000 °C).
- The reduction of Fe₂O₃ to Fe involves intermediate steps, where Fe₂O₃ is first reduced to FeO before finally yielding iron, which also requires heat.
- Therefore, the reaction as stated does not occur spontaneously at standard conditions.

**Conclusion for Statement-II:** This statement is false as the reaction is not spontaneous under standard conditions.

### Final Conclusion
Both statements are false.

### Answer:
Both Statement-I and Statement-II are false.