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Determine the amount of energy needed to melt 100 kg of aluminum at its melting point (660°C), given that the latent heat of fusion of aluminum is 93 kcal/kg.

A. 6100 kcal
B. 9300 kcal
C. 6600 kcal
D. 93000 kcal

Answer :

Final answer:

The question pertains to the application of the concept of latent heat of fusion. In this case, the amount of energy required to melt 100 kg of aluminum would be 9300 kcal, determined by multiplying the weight of the aluminum by the given latent of fusion for aluminum.

Explanation:

The question is about the latent heat of fusion of aluminum and the amount of energy required to melt a certain quantity of the metal. Firstly, the latent heat of fusion refers to the amount of heat energy required to change 1 kilogram of a substance from the solid state to the liquid state, without changing its temperature. In this scenario, the latent heat of fusion for aluminum is given as 93 kcal/kg.

To find the the energy needed to melt 100 kg of aluminum, you have to multiply the weight of aluminum (100 kg) with the latent heat of fusion (93 kcal/kg). Mathematically, this is expressed as:

Energy = mass x latent heat of fusion

Therefore:

Energy = 100 kg x 93 kcal/kg = 9300 kcal

Learn more about Latent Heat of Fusion here:

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