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# Experimentsâ€‹

## Mix It Up – Mixing Liquids of Different Temperatures

Experiment #6 from Real-World Math with Vernier

Education Level
High School

### Introduction

Suppose that a hot drink and a cold drink are mixed together and you would like to predict the temperature of the mixture. To do this, you need to know the temperatures of the drinks before they are mixed, T1 and T2, and the volumes of each used in the mixture, V1 and V2. A visual representation of the problem is shown below, where Tm represents the temperature of the mixture:

${T_1}{V_1} + {T_2}{V_2} = {T_m}\left( {{V_1} + {V_2}} \right)$

In this activity you will use the concepts described above to predict the resulting temperature when two solutions of different temperatures are mixed. The data needed to perform these calculations will be collected using a pair of Temperature Probes.

### Objectives

• Record temperatures of water samples before and after mixing.
• Compare the mixing temperatures to a linear prediction.

### Sensors and Equipment

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

#### Option 1

Stainless Steel Temperature Probe (2)

EasyTemp (2)

### Purchase the Lab Book

This experiment is #6 of Real-World Math with Vernier. The experiment in the book includes student instructions as well as instructor information for set up, helpful hints, and sample graphs and data.