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Heat Of Fusion Formula - Definition, Formula, Solved Questions 

Heat Of Fusion Formula: The heat of fusion, also known as the enthalpy of fusion, is the amount of heat energy required to change a substance from a solid to a liquid state at its melting point.
authorImageMurtaza Mushtaq25 Oct, 2023
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Heat Of Fusion Formula

Heat of Fusion Definition

Heat Of Fusion Formula: The heat of fusion, also known as the enthalpy of fusion, is the amount of heat energy required to change a substance from a solid to a liquid state at its melting point. This process occurs at a constant temperature and pressure. The heat of fusion is typically represented by the symbol ΔHf.

Formula for Heat of Fusion

Heat Of Fusion Formula:  The formula to calculate the heat of fusion is: ΔHf = q / m Where: - ΔHf is the heat of fusion (in joules or calories) - q is the heat energy added or removed (in joules or calories) - m is the mass of the substance undergoing the phase change (in grams) The heat of fusion can be different for various substances, as it depends on the specific material in question. For water, for example, the heat of fusion is approximately 334 joules per gram. If you need more information or have any specific questions related to this topic, please let me know.

Solved Examples Of Heat Of Fusion Formula

  1. Calculate the heat of fusion for 100 grams of ice when it melts at 0°C.
- Given: Mass (m) = 100 grams - Heat of Fusion (ΔHf) for ice = 334 J/g ΔHf = q / m ΔHf = (100 g) x (334 J/g) = 33,400 J The heat of fusion for 100 grams of ice is 33,400 Joules.
  1. A 200-gram sample of a substance requires 20,000 J of heat to melt. Calculate the heat of fusion for this substance.
- Given: Mass (m) = 200 grams - Heat added (q) = 20,000 J ΔHf = q / m ΔHf = (20,000 J) / (200 g) = 100 J/g The heat of fusion for this substance is 100 Joules per gram.
  1. Find the heat energy required to melt 50 grams of wax with a heat of fusion of 200 J/g.
- Given: Mass (m) = 50 grams - Heat of Fusion (ΔHf) for wax = 200 J/g ΔHf = q / m ΔHf = (50 g) x (200 J/g) = 10,000 J The heat energy required to melt 50 grams of wax is 10,000 Joules.
  1. Calculate the mass of ice that can be melted with 5,000 J of heat energy.
- Given: Heat added (q) = 5,000 J - Heat of Fusion (ΔHf) for ice = 334 J/g ΔHf = q / m 5,000 J = m x 334 J/g m = 5,000 J / 334 J/g ≈ 14.97 grams The mass of ice that can be melted with 5,000 J of heat energy is approximately 14.97 grams.
  1. If 150 J of heat is added to melt 10 grams of a substance, find its heat of fusion.
- Given: Mass (m) = 10 grams - Heat added (q) = 150 J ΔHf = q / m ΔHf = 150 J / 10 g = 15 J/g The heat of fusion for this substance is 15 Joules per gram.
  1. A metal with a heat of fusion of 1000 J/g changes from a solid to a liquid with the addition of 500 J of heat. Calculate the mass of the metal.
- Given: Heat added (q) = 500 J - Heat of Fusion (ΔHf) for the metal = 1000 J/g ΔHf = q / m 500 J = m x 1000 J/g m = 500 J / 1000 J/g = 0.5 grams The mass of the metal is 0.5 grams.
  1. Determine the heat energy required to melt 250 grams of lead with a heat of fusion of 23 J/g.
- Given: Mass (m) = 250 grams - Heat of Fusion (ΔHf) for lead = 23 J/g ΔHf = q / m ΔHf = (250 g) x (23 J/g) = 5750 J The heat energy required to melt 250 grams of lead is 5750 Joules.
  1. If it takes 1200 J of heat to melt a 60-gram sample of a substance, find its heat of fusion.
- Given: Mass (m) = 60 grams - Heat added (q) = 1200 J ΔHf = q / m ΔHf = 1200 J / 60 g = 20 J/g The heat of fusion for this substance is 20 Joules per gram.
  1. Calculate the heat energy needed to melt 75 grams of a substance with a heat of fusion of 400 J/g.
- Given: Mass (m) = 75 grams - Heat of Fusion (ΔHf) = 400 J/g ΔHf = q / m ΔHf = (75 g) x (400 J/g) = 30,000 J The heat energy needed to melt 75 grams of the substance is 30,000 Joules.
  1. A 300-gram block of a substance requires 90,000 J of heat to melt. Find the heat of fusion for this material.
- Given: Mass (m) = 300 grams - Heat added (q) = 90,000 J ΔHf = q / m ΔHf = 90,000 J / 300 g = 300 J/g The heat of fusion for this substance is 300 Joules per gram.

Heat Of Fusion Formula FAQs

What is the heat of fusion?

The heat of fusion, also known as the enthalpy of fusion, is the amount of heat energy required to change a substance from a solid to a liquid state at its melting point.

How is the heat of fusion measured?

The heat of fusion is measured in joules per gram (J/g) or calories per gram (cal/g) and represents the energy required to melt one gram of a substance.

Does the heat of fusion vary for different substances?

Yes, the heat of fusion varies from one substance to another. Each material has its specific heat of fusion, which is unique to its chemical composition.

Why is the heat of fusion important?

The heat of fusion is important in various scientific and industrial applications, such as in the design of refrigeration systems, understanding phase changes, and in the food industry for freezing and thawing processes.
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