\( m_{alloy} \) =1.0 kg

\(C_{0}\) = 1.15 wt% C

(a) proeutectoid phase = ?

(b) \(m_{\alpha}\) = ? \(m_{Fe_{3}C}\) = ?

(c) \(m_{pearlite}\) = ? \(m_{proeutectoid}\) = ?

Hypereutectoid alloy

\(m_{\gamma}\) = 1.0 kg : before cooling

Below eutectoid temp: \(W_\alpha \) = \(C_{Fe_{3}C} - C_0 \over C_{Fe_{3}C} - C_\alpha \)

Below eutectoid temp: \(W_{Fe_{3}C} \) = \(C_{0} - C_\alpha \over C_{Fe_{3}C} - C_\alpha \)

Above eutectoid temp: \(W_{pearlite} \) = \(W_{\gamma} \) = \(C_{Fe_{3}C} - C_0 \over C_{Fe_{3}C} - C_\gamma \)

Above eutectoid temp: \(W_{proeutectoid} \) = \(C_{0} - C_\gamma \over C_{Fe_{3}C} - C_\gamma \)

(a) proeutectiod phase is Cementite

(b) \(m_\alpha \) = 0.83 kg   \(m_{Fe_{3}C} \) = 0.17 kg

(c) \(m_{pearlite}\) = 0.93 kg   \(m_{proeutectoid}\) = 0.07 kg