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Compute the latent heat of 10 kg substance if the amount of heat for a phase change is 300 kcal.

Question

Compute the latent heat of 10 kg substance if the amount of heat for a phase change is 300 kcal.

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Solution

The latent heat of a substance is the amount of heat energy required to change the phase of a unit mass of the substance, without changing its temperature. It is usually expressed in terms of amount of heat per unit mass, such as calories per gram (cal/g) or kilocalories per kilogram (kcal/kg).

Given:

  • Mass (m) = 10 kg
  • Total heat (Q) = 300 kcal

We can find the latent heat (L) using the formula:

L = Q / m

Substituting the given values:

L = 300 kcal / 10 kg = 30 kcal/kg

So, the latent heat of the substance is 30 kcal/kg.

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