Step 1: Understanding the Concept:
This question requires knowledge of the Iron-Iron Carbide (\(Fe-Fe_3C\)) phase diagram. Austenite (\(\gamma\)-iron) is a high-temperature, FCC phase of iron that can dissolve a significant amount of carbon. We need to identify the overall temperature range in which this phase can exist according to the diagram.
Step 2: Detailed Explanation:
Let's analyze the austenite phase field in the \(Fe-Fe_3C\) diagram:
• The
lowest temperature at which austenite is stable is the eutectoid temperature. At this point, austenite transforms into pearlite (ferrite + cementite). This temperature is approximately
723°C (or sometimes cited as 727°C).
• The
highest temperature at which austenite is stable depends on the carbon content. It is bounded by the solidus line and the delta-ferrite phase field.
• For pure iron (0% C), austenite forms from ferrite at 912°C and transforms to delta-ferrite at 1394°C.
• As carbon is added, the stability range changes. The highest temperature at which a fully austenitic phase can exist is at the peritectic reaction point, which is at
1495°C (often approximated as 1490°C in options).
Therefore, the complete temperature span across which the austenite phase can be found in the \(Fe-Fe_3C\) system is from the eutectoid temperature (723°C) up to the peritectic temperature (\(\approx\)1490°C).
Let's evaluate the options:
(A) 25 - 910°C: Incorrect. Austenite is not stable at room temperature (25°C).
(B) 710 - 1130°C: This is a partial range but not the complete range.
(C) 910 - 1490°C: This is the range for pure iron but ignores the effect of carbon, which lowers the minimum temperature to 723°C.
(D) 723 - 1490°C: This option correctly identifies the lowest temperature (eutectoid) and the approximate highest temperature (peritectic) for the existence of austenite.
Step 3: Final Answer:
The austenite phase in the Iron-Iron Carbide system exists over a broad temperature range, starting from the eutectoid temperature of 723°C up to the peritectic region around 1490°C.