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∆L = change in length, L0 = original length, ∆T = change in temperature, ◦C, α = coefficient of linear expansion, 1 ◦C
Typology: Lab Reports
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In this lab, by measuring the length change,∆L of a metal rod as its temperature is changed, you will determine the coefficient of thermal expansion α.
In this lab we will be using boiling water and steam, both of which present a hazard that people tend to underestimate. The water is boiling on the tables at which you are sitting. This means that boiling water could easily end up in your lap if you fail to adhere to these safety precautions! Note that there is also boiling water at the table immediately behind you!
Precautions:
Also, please be careful with the steam generator. Steam burns can be nasty. In particular, be careful to keep your face away from the openings in the steam generator. Stoppers and caps should always be loosely inserted to prevent the possibility of a buildup of pressure and a subsequent steam explosion or release of a high-pressure jet of steam and/or hot water. If stoppers with small holes are available, they are likely to be safer and equally effective.
Most materials expand in proportion to the temperature change. The fractional expansion (or contraction) ∆ LL 0 of the material along one axis is proportional to the change in the temperature
that caused the expansion. The constant of proportionality is known as the coefficient of linear expansion. In this lab you will investigate the length change of a long metal rod in response to temperature change. As noted, the relative length change of the rod is given by
∆L L 0
= α∆T (1)
where
The linear expansion coefficient α is one of the fundamental properties of materials. You have looked at other fundamental properties with the Young’s Modulus experiment, and you will ex- amine heat capacity in a later lab. All of these properties are very important when you choose materials. For instance, if your plane is made of materials that have drastically different thermal expansion coefficients, then gaps will form as the plane heats or cools, possibly with bad results!
Figure 1 shows the linear expansion apparatus attached to the steam boiler on the hot plate.
Figure 1: The linear expansion apparatus attached to a steam boiler on a hot plate.
Remove the rod from the apparatus and measure its length, L 0. Measure the room temper- ature, T 0. Provided the rod has been sitting without being handled for a while, it should be at approximately room temperature. Replace the rod in the apparatus, making sure that the ends