Free · Thermodynamics and heat calculators 🌡️

Sensible Heat from Mass & Temperature Change

Calculate heating or cooling energy using entered mass, specific heat and temperature change, with illustrative material presets.

  • Formula & worked example
  • Private in your browser
  • No signup
Go to tool

Calculator inputs

Loading calculator…

How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

For 2 kg and an entered specific heat of 1,000 J/(kg·K), a 10 °C temperature increase requires 20 kJ. The same decrease gives −20 kJ.

Sensible heat = mass × specific heat × (final temperature − initial temperature)

Worked example

Enter these known values and leave the other values blank.

Illustrative material preset or custom value
Enter custom specific heat
Mass
2 kg
Constant specific heat capacity
1000 J/(kg·K)
Initial temperature
20 °C
Final temperature
30 °C
Temperature change
10 °C
Heat added to the material
20 kJ

Assumptions and limitations

  • Mass and specific heat are positive. Specific heat is constant over the entered temperature interval.
  • This model includes sensible heat only. It excludes phase-change energy, reaction energy, heat losses and heating of containers.
  • Material presets are illustrative constant values, not temperature-dependent property tables. Use a suitable measured or published value for your material and conditions.
  • Positive heat means heat added; negative means removed. Temperature differences use interval conversions, so 10 °C change equals 18 °F change.
  • Initial and final temperatures must exceed absolute zero.

Common questions

Can I calculate cooling energy?

Yes. Set the final temperature below the initial temperature. The heat result is negative under the heat-added convention.

Does selecting water account for boiling?

No. This constant-specific-heat model excludes phase changes and their latent heat.

References

Calorie-based specific heats use the thermochemical calorie, exactly 4.184 joules, consistently with the heat-capacity units.

Explore thermodynamics and heat calculators 🌡️ or browse all physics calculators.