Newton's Law of Cooling Calculator

Your details

Choose what to calculate: the temperature after a given time, how long cooling takes, or the cooling constant from physical properties.
The object temperature at time zero.
°C
The surrounding environment temperature (constant).
°C
The cooling rate constant (per unit time). Higher values mean faster cooling. Must match the selected time unit.
1/min
How long the object has been cooling.
min
Final temperature T(t)
62.46

Object temperature after the elapsed time

Temperature change-27.54
Half-life of temperature difference13.86
Cooling progress39.3%
39.3%
Just started<25%Quarter cooled25%-50%Halfway50%-75%Near ambient75%-95%At ambient95%+

After the elapsed time the temperature is 62.46 °C.

  • The object is 39.3% of the way from its starting temperature to ambient.
  • The temperature gap halves every 13.86 min. After 10 half-lives the difference is less than 0.1% of the original.
  • At this moment the object is still 42.46 °C away from ambient temperature.
  • Newton's Law of Cooling assumes the temperature difference is small enough that radiative heat transfer is negligible and the ambient temperature stays constant.

Next stepTo speed cooling, increase air circulation (higher h) or increase the surface area exposed to the environment.

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