Ssm How much heat must be added to 0.45 kg of aluminum to...

ssm How much heat must be added to 0.45 ${kg}$ of aluminum to change it from a solid at $130^{\circ} {C}$ to a liquid at $660^{\circ} {C}$ (its melting point)? The latent heat of fusion for aluminum is $4.0 \times 10^{5} {J} / {kg}$ .

Key Concepts

Specific Heat Capacity and Sensible Heat

This concept refers to the energy required to raise the temperature of a unit mass of a substance by one degree. In processes where a substance is heated without a change in phase, the energy added increases the kinetic energy of its molecules and is termed 'sensible heat', calculated as the product of the mass, specific heat capacity, and temperature change.

Latent Heat of Fusion

Latent heat of fusion is the energy required per unit mass to change a substance from the solid phase to the liquid phase at its melting point without changing its temperature. This energy is used to overcome the forces holding the structure in the solid state, rather than increasing the kinetic energy of the particles.

Phase Change Processes

Phase change processes involve the transformation of a material from one state of matter to another, such as from solid to liquid. During a phase change, temperature remains constant while the energy added or removed is used to effect the change in molecular structure, as seen in melting where latent heat is applied.

Energy Calculation in Thermal Transitions

In problems involving both heating and phase changes, an energy balance approach is used. This involves calculating and summing the energy required for heating the substance to its phase change temperature (sensible heat) and the energy required to complete the phase change (latent heat).

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