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Library / Foundations: Physics / FPH-16

Foundations: Physics

Specific latent heat

Energy to change the state of a mass at constant temperature.

Ref
FPH-16
Rev
v1
Field
Foundations: Physics
Result
E [kJ]

Use specific latent heat L in J/kg for a change of state at constant temperature.

Melting or boiling needs energy that goes into breaking bonds, not raising the temperature.

Calculator

Solve for
kJ
kg
0.01100
kJ/kg
1002,300
  • Energy in joules83,500 J
  • Equivalent temperature rise of the same mass of water79.9 K

What drives the result

Each variable is moved across its typical range while the others stay at the values above. The longest bar is the key driver.

Energy (kJ) current value 83.5 kJ
mMassKey driver
3.3433,400
LSpecific latent heat
25575
  • Boiling water takes about seven times more energy per kg than heating it from 0 °C to 100 °C.
  • The temperature stays constant during the change of state.
Chart data as tables

Ranked variables

VariableTypical rangeLowest resultHighest resultSwing (kJ)Local stepChange in result
m Mass0.01 to 100 kg3.3433,40033,400+10%+10 %
L Specific latent heat100 to 2,300 kJ/kg25575550+10%+10 %

Sweep of Mass

Mass (kg)Energy (kJ)
0.013.34
0.0316210.56
0.133.4
0.3162105.6
1334
3.1621,056
103,340
31.6210,560
10033,400

Sweep one variable

Energy (kJ)Hover, touch, or use the arrow keys on the chart
010k20k30k 0.010.1110100 Mass (kg), log scale now 83.5

Variables and how each one contributes

E

Energy

Result · kJ

What the equation gives you. Everything else feeds it.

m

Mass

kg · typical 0.01 to 100

Mass changing state. Directly proportional.

L

Specific latent heat

kJ/kg · typical 100 to 2,300

Ice melting 334, water boiling 2260. Directly proportional.

Worked example with the values above

  1. Mass 0.25 kg, latent heat 334 kJ/kg.
  2. Multiply: 0.25 × 334.
  3. E = 83.5 kJ.

Assumptions and limits

  • Temperature constant during the change.
  • Pure substance.

Common mistakes

  • Using specific heat instead of latent heat.
  • Mixing J and kJ.

Statistics and uncertainty

Latent heat values vary by a percent or two between sources and with pressure.

Where it is used

  • Energy to melt or vaporise a coolant or fuel.
  • Cooling by evaporation.

Maths you need

  • States of matter: solid, liquid, gas
  • Energy: joules

Related formulas

Practise this formula