Newton's Law of Cooling Calculator

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Calculates the rate at which an object cools down based on the temperature difference with its surroundings.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Initial Object Temperature, Surrounding Temperature, Time, and Cooling Constant (k) in the units shown.

Step 2

Read Initial Temperature Difference and Final Object Temperature in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

See the inputs and their calculated results.

Initial Object Temperature: 80 °C; Surrounding Temperature: 20 °C; Time: 5 minutes; Cooling Constant (k): 0.1 per minute

Initial Temperature Difference: 60 °C; Final Object Temperature: 56.39183958 °C

Initial Object Temperature: 30 °C; Surrounding Temperature: 25 °C; Time: 10 minutes; Cooling Constant (k): 0.05 per minute

Initial Temperature Difference: 5 °C; Final Object Temperature: 28.0326533 °C

Initial Object Temperature: 5 °C; Surrounding Temperature: 20 °C; Time: 15 minutes; Cooling Constant (k): 0.2 per minute

Initial Temperature Difference: -15 °C; Final Object Temperature: 19.25319397 °C

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