The amount of heat required for converting one kilogram of a solid completely into liquid is called:
Latent heat of fusion
When a substance undergoes a change in its physical state, such as transforming from a solid to a liquid, it either absorbs or releases energy without a corresponding change in its temperature. This specific energy is commonly referred to as latent heat. The question focuses on the amount of heat required for converting one kilogram of a solid completely into liquid.
The term "latent" signifies something hidden or concealed. Latent heat is the energy that a substance absorbs or releases during a phase transition, while its temperature remains constant. Different types of phase changes are associated with distinct forms of latent heat:
Let's evaluate each given option to determine its relevance to the process of converting a solid into a liquid:
| Option | Description | Relevance to Converting Solid to Liquid |
|---|---|---|
| Specific heat | The quantity of heat energy needed to raise the temperature of one kilogram of a substance by one degree Celsius (or Kelvin) without causing a change in its physical state. | This concept applies to temperature changes within a single phase, not to phase transitions like solid to liquid conversion. Therefore, it is not the correct answer. |
| Latent heat of fusion | The exact amount of heat energy required to convert one kilogram of a solid entirely into a liquid at its melting point, without any accompanying temperature change. | This definition perfectly aligns with the scenario described in the question. It precisely describes the heat involved in the melting process. |
| Latent heat of sublimation | The heat energy required to convert one kilogram of a solid directly into a gas, bypassing the intermediate liquid state. | This is not applicable, as the question specifically states conversion into a liquid, not a gas. |
| Latent heat of evaporation | The heat energy needed to convert one kilogram of a liquid into a gas. | This is also not applicable because the starting state in the question is a solid, not a liquid, and the target state is liquid, not gas. |
The total heat energy (\( Q \)) involved in a phase change, such as the conversion of a solid to a liquid, for a given mass (\( m \)) of the substance can be calculated using the following fundamental formula:
\[ Q = m \times L \]
In this formula:
Given that the question specifies "one kilogram" of the solid, the amount of heat required is numerically equal to the specific latent heat of fusion for that particular substance.
Based on the scientific definitions and a thorough analysis of the options, the amount of heat required for converting one kilogram of a solid completely into liquid is accurately defined as the latent heat of fusion. This fundamental thermal property quantifies the energy input necessary for the melting process to occur.
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