Step 1: Understanding the Concept:
The question asks for the carbon content of a eutectoid steel. This refers to a specific point on the Iron-Iron Carbide (\(Fe-Fe_3C\)) phase diagram known as the eutectoid point.
Step 2: Key Formula or Approach:
The eutectoid reaction in the \(Fe-Fe_3C\) system is:
\[ \text{Austenite (\(\gamma\))} \xrightarrow[\text{cooling}]{\text{723°C}} \text{Ferrite (\(\alpha\))} + \text{Cementite (\(Fe_3C\))} \]
The resulting lamellar microstructure of ferrite and cementite is called pearlite. This reaction occurs at a single temperature (723°C) and a specific, fixed carbon concentration.
Step 3: Detailed Explanation:
By definition, a eutectoid steel is a steel that has the exact carbon concentration of the eutectoid point. On the \(Fe-Fe_3C\) phase diagram, this point occurs at approximately 0.76% to 0.8% carbon by weight. For most engineering and academic purposes, this value is commonly rounded to
0.8% C.
Let's review the other options:
• 0.008% C: This is near the maximum solubility of carbon in ferrite at room temperature.
• 2.1% C: This value (often cited as 2.11% or 2.14%) is the conventional dividing line between steels and cast irons. It represents the maximum solubility of carbon in austenite.
• 0.18% C: This represents a low-carbon, hypo-eutectoid steel.
Therefore, 0.8% C is the correct carbon content for a eutectoid steel.
Step 4: Final Answer:
A eutectoid steel is defined as a steel having the eutectoid composition, which is approximately 0.8% carbon.