Question

During a hot-working process, the homologous temperature is 0.8. The melting point of the work metal is 800$^\circ$C. The temperature (in $^\circ$C) during hot-working is \(\underline{\hspace{2cm}}\) (round off to nearest integer).

Hint:

Homologous temperature must always be computed using absolute (Kelvin) temperatures.

Answer 1

Correct Answer: 584 - 586

Homologous temperature is defined as: \[ T_H = \frac{T_{\text{working (K)}}}{T_{\text{melting (K)}}}. \] Given: \[ T_H = 0.8, T_{\text{melting}} = 800^\circ\text{C} = 800 + 273 = 1073\ \text{K}. \] Thus, \[ T_{\text{working}} = 0.8 \times 1073 = 858.4\ \text{K}. \] Convert to Celsius: \[ T_{\text{working}} = 858.4 - 273 = 585.4^\circ\text{C}. \] Rounded to nearest integer: \[ 585^\circ\text{C}. \]