Free solver · Chapter 3

Newton's Law of Cooling Calculator: Step-by-Step Solutions

Cooling constant from one reading, temperature at any time, time to reach a temperature. Every step of the solution is shown, as you would write it on paper, using exact fractions.

What it solves

An object at temperature $T_{0}$ is placed in surroundings at constant temperature $T_{m}$ . One later reading $T (t_{1}) = T_{1}$ determines the cooling constant $k$ . Optionally ask for the temperature at time $t_{q}$ or the time when the temperature reaches $T_{q}$ .

How to use it

Enter your own numbers or functions in the boxes (an example is already filled in, or press Random example).
Check the equation preview, then press Solve step by step.
Reveal the solution one step at a time with Next step, or show everything at once.

Need the theory first? Read Section 3.3: Rate Problems, which explains the method in small steps with worked examples and exercises, then come back and test yourself with the Chapter 3 quiz.

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