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physics

Latent Heat Calculator

Calculate the energy required for a phase change (melting, boiling, freezing, condensation) using Q = mL, where m is mass and L is the specific latent heat of the substance.

Reviewed by Christopher FloiedPublished Updated

This free online latent heat calculator provides instant results with no signup required. All calculations run directly in your browser — your data is never sent to a server. Enter your values below and see results update in real time as you type. Perfect for everyday calculations, homework, or professional use.

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Results

Heat Energy for Phase Change

2e+6 J

How to Use This Calculator

1

Enter your input values

Fill in all required input fields for the Latent Heat Calculator. Most fields include unit selectors so you can work in your preferred unit system — metric or imperial, whichever matches your problem.

2

Review your inputs

Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors and can produce results that are off by factors of 2, 10, or more.

3

Read the results

The Latent Heat Calculator instantly computes the output and displays results with units clearly labeled. All calculations happen in your browser — no loading time and no data sent to a server.

4

Explore parameter sensitivity

Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.

When to Use This Calculator

  • Use the Latent Heat Calculator when you need accurate results quickly without the risk of manual computation errors or unit conversion mistakes.
  • Use it to verify calculations made by hand or in spreadsheets — an independent check can catch errors before they lead to costly decisions.
  • Use it to explore how changing input parameters affects the output — a quick way to develop intuition and identify the most influential variables.
  • Use it when collaborating with others to ensure everyone is working from the same numbers and applying the same assumptions.

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About Latent Heat Calculator

The Latent Heat Calculator determines the energy absorbed or released during a phase transition without any temperature change. Unlike sensible heat (Q = mcΔT), latent heat drives the molecular rearrangement needed to change phase — breaking intermolecular bonds during melting or vaporization, forming them during freezing or condensation. Boiling 1 kg of water at 100°C requires 2.26 MJ — over five times the energy needed to heat it from 0°C to 100°C. This enormous energy reservoir is why steam burns are so severe and why sweating is such an effective cooling mechanism.

The Math Behind It

Latent heat is energy that changes a substance's phase without changing its temperature. The word 'latent' means hidden — this heat is hidden because it does not cause a temperature rise. **Types**: 1. **Latent heat of fusion (L_f)**: Solid ↔ liquid 2. **Latent heat of vaporization (L_v)**: Liquid ↔ gas 3. **Latent heat of sublimation**: Solid ↔ gas (≈ L_f + L_v) **Key values for water**: - L_f = 334,000 J/kg (melting/freezing at 0°C) - L_v = 2,260,000 J/kg (boiling/condensation at 100°C) **Other substances' L_v (J/kg)**: - Ethanol: 846,000 - Ammonia: 1,370,000 - Nitrogen: 199,000 - Helium: 20,700 - Iron: 6,340,000 **Why L_v >> L_f**: Vaporization requires completely separating molecules against intermolecular forces, while melting only partially disrupts the crystal structure. For water, L_v is 6.8× larger than L_f. **Practical implications**: - **Steam burns**: Condensing steam releases 2.26 MJ/kg directly onto skin, far worse than 100°C water contact - **Sweating**: Evaporating sweat absorbs 2.26 MJ/kg from skin, providing powerful cooling - **Refrigeration**: Exploits latent heat of vaporization in a cycle of compression and expansion - **Weather**: Hurricanes derive energy from warm ocean water's latent heat of vaporization - **Ice in drinks**: Melting ice absorbs 334 kJ/kg, effectively cooling the drink at constant 0°C

Formula Reference

Latent Heat

Q = mL

Variables: m = mass (kg), L = specific latent heat (J/kg)

Worked Examples

Example 1: Melting Ice

0.5 kg of ice at 0°C

Step 1:Q = 0.5 × 334,000
Step 2:= 167,000 J

167 kJ needed to melt 0.5 kg ice — just for the phase change, no temperature change.

Example 2: Boiling Water

2 kg of water at 100°C to steam

Step 1:Q = 2 × 2,260,000
Step 2:= 4,520,000 J

4.52 MJ — equivalent to running a 1 kW heater for 75 minutes.

Example 3: Freezing Water

0.3 kg water freezing at 0°C

Step 1:Q = 0.3 × 334,000
Step 2:= 100,200 J released

100.2 kJ released to surroundings during freezing.

Common Mistakes & Tips

  • !Forgetting that latent heat involves no temperature change — the energy goes entirely into breaking or forming molecular bonds.
  • !Using latent heat of fusion when vaporization is occurring, or vice versa.
  • !Not accounting for both sensible heat (temperature change) and latent heat when heating through a phase transition.
  • !Assuming latent heat is always absorbed — it is released during freezing and condensation.

Related Concepts

Used in These Calculators

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Frequently Asked Questions

Why are steam burns worse than boiling water burns?

When steam condenses on skin, it releases 2,260 kJ/kg of latent heat directly into the tissue. Boiling water at 100°C transfers heat only through temperature difference. The condensation energy is enormous — 5.4× the energy needed to heat water from 20°C to 100°C.

Why does ice cool drinks so effectively?

Melting absorbs 334 kJ/kg at constant 0°C. After melting, the cold water (now at 0°C) continues cooling the drink. The latent heat absorption is far more effective than simply adding cold water, which is why ice cubes are preferred.

How does sweating cool you?

Sweat evaporating from skin absorbs 2,260 kJ/kg. Evaporating 0.5 L of sweat absorbs about 1.13 MJ — enough to offset over an hour of moderate exercise. This is why dry heat feels more tolerable than humid heat (sweat cannot evaporate efficiently in humidity).

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