How much heat must be added to 0.45 kg of aluminum to change it from a solid at 130^∘ C to a liq

step 1 amount of the heat required will be Q1 plus Q2 Q1 is MC delta t plus m into latent heat of fusio

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

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

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Key Concepts

Heat Transfer in Phase Transitions

Heat transfer in phase transitions involves two processes: raising the temperature of a material (using its specific heat capacity) and then providing the necessary energy for the phase change (using latent heat). The total energy required is the sum of the energy needed for both temperature change and during the phase change at a constant temperature.

Latent Heat of Fusion

The latent heat of fusion is the energy per unit mass required to convert a substance from a solid to a liquid at its melting point, without changing its temperature. This concept is crucial when a material undergoes a phase change, as the energy added contributes to breaking the bonds rather than increasing kinetic energy.

Specific Heat Capacity

The specific heat capacity is the amount of energy required to raise the temperature of one kilogram of a substance by one degree Celsius. It is a fundamental property used to determine the heat required to change the temperature of a material before any phase change occurs.

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