To determine the amount of heat required to convert 1.9 kg of steel from a solid to a liquid at its melting point, without changing its temperature, you need to use the concept of latent heat of fusion. Latent heat of fusion is the amount of heat needed to change one kilogram of a substance from a solid to a liquid at constant temperature.
Given:
- Mass of steel (m) = 1.9 kg
- Latent heat of fusion of steel (L) = 247 kJ/kg
The formula to calculate the heat required (Q) is:
[tex]\[ Q = m \times L \][/tex]
Plugging in the values:
[tex]\[ Q = 1.9 \, \text{kg} \times 247 \, \text{kJ/kg} \][/tex]
[tex]\[ Q = 469.3 \, \text{kJ} \][/tex]
Rounding this to the nearest whole number:
[tex]\[ Q \approx 469 \][/tex]
Therefore, 469 kJ of heat is needed to convert 1.9 kg of steel from a solid to a liquid without changing its temperature.
