Chill Out: How Hot Objects Cool

Figure from experiment 17 from Real-World Math Made Easy

Introduction

When you have a hot drink, you know that it gradually cools off. Newton’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 requires each of the following Vernier sensors and equipment (unless otherwise noted):

Additional Requirements

You may also need an interface and software for data collection. What do I need for data collection?


Standards Correlations

See all standards correlations for Real-World Math Made Easy »

Experiment 17 from Real-World Math Made Easy Lab Book

<i>Real-World Math Made Easy</i> book cover

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Included in the Lab Book

Vernier lab books include a CD with word-processing files of the student instructions, essential teacher information, suggested answers, sample data and graphs, and more.

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