# Steel 1097 230 140 730 500 aluminu m 1092 230 168 680

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Steel 109.7 23.0 14.0 73.0 50.0 Aluminu m 109.2 23.0 16.8 68.0 45.0 In order to calculate the coefficient of linear expansion, the following equation is used: For example: Table 3 L (mm) ΔL (mm) ΔT (*C) α (/*C) Copper 700.0 0.88 55.5 2.27E-05 Steel 700.0 0.54 50.0 1.54E-05 Aluminu m 700.0 1.16 45.0 3.68E-05 In order to calculate the percent discrepancy for each trial: Results : After completing the experiment, results for each of the three metals were found. The coefficient of linear expansion for copper was found to be /C. For steel, a coefficient of /C was calculated. Lastly, the coefficient of expansion for aluminum was found to be /C. These coefficients were calculated from experimental results, as highlighted in the Analysis section. Discussion : When comparing our experimental values with the accepted values, it is apparent that there were some substantial errors made. The experimental values were consistently higher than the accepted ones, with percentage discrepancies ranging from 33.5% to 60.0%. These errors are

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considerable, and from their relationship to the accepted values we can begin to postulate where the errors might have come from. First, using the gauge provided, it was difficult to judge exactly when expansion had stopped. This means that the temperature measurements are likely higher than they ought to be because the setup continued to undergo heating, even after expansion ceased. Additionally, the dial on the gauge and the digital values for resistance were “touchy”, so obtaining a steady result was all but impossible. Lastly, in between each trial, the setup was supposed to be allowed to return to room temperature, but due to time constraints there was still residual heat left in the system for each trial.
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