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# Experimentsâ€‹

## Chill Out: How Hot Objects Cool

Experiment #16 from Real-World Math with Vernier

Education Level
High School

### Introduction

When you have a hot drink, you know that it gradually cools off. Newtonâ€™s law of cooling provides us with a model for cooling. It states that the temperature difference Tdiff between a hot object and its surroundings decreases exponentially with time.

${T_{diff}} = {T_0}{e^{ - kt}}$

In the model T0 is the initial temperature difference, and k is a positive constant.

In this activity you will use a Temperature Probe to collect data as the warmed probe cools. You can then fit several mathematical models to the data.

### Objectives

• Record temperature versus time cooling data.
• Model cooling data with an exponential function.

### Sensors and Equipment

This experiment features the following sensors and equipment. Additional equipment may be required.

EasyTemp

#### Option 2

Stainless Steel Temperature Probe

Go!Temp