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THE FEUTEX TOOLKIT

Two-Body Thermal Equilibrium

Calculate equilibrium temperature and transferred heat for two isolated thermal masses.

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FormulaEquilibrium temperature = (m1*c1*t1+m2*c2*t2)/(m1*c1+m2*c2); Heat lost by first body = m1*c1*(t1-(m1*c1*t1+m2*c2*t2)/(m1*c1+m2*c2))
Sources and model references

Worked example

Inputs

First mass
1 kg
First specific heat
1000 J/(kg·K)
First temperature
80 °C
Second mass
3 kg
Second specific heat
1000 J/(kg·K)
Second temperature
20 °C

Expected results

Equilibrium temperature
35 °C
Heat lost by first body
45000 J

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Calculate equilibrium temperature and transferred heat for two isolated thermal masses.
  2. Set first mass, first specific heat, first temperature, second mass, second specific heat, second temperature in the indicated units.
  3. Calculate and compare equilibrium temperature, heat lost by first body.

Try this example

{
  "m1": 1,
  "c1": 1000,
  "t1": 80,
  "m2": 3,
  "c2": 1000,
  "t2": 20
}

Accuracy and scope

No heat loss, phase change or container heat capacity; specific heats are constant.

Is my data uploaded?

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