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Science Interpretation of Data Q24
Passage V

A molten alloy (a mixture of 2 or more metallic elements) can be poured into a cylindrical mold and cooled to form an ingot. Crystals form inside the ingot as it cools. The average crystal length, L, in micrometers (μm), determines how brittle the ingot will be. A method for reducing L using rotating magnetic fields was applied to Alloy Q as it cooled in the molds. Table 1 shows the elemental composition of Alloy Q. Figure 1 shows the effect of the relative magnetic stirring force, F, on L for ingots formed from molten Alloy Q that had an initial temperature of either 280°C or 550°C. Table 1 Percent by mass in Element Symbol Alloy Q Aluminum Al 88.7 Silicon Si 10.8 Manganese Mn 0.28 Magnesium Mg 0.22 Figure 1 102 Key 100 280°C 550°C ) 96 m ( L 94 0 10 20 30 40 50 F ( × 10 ) Figure 1 is adapted from S. Denisov, et al., “The Effect of Traveling and Rotating Magnetic Fields on the Structure of Aluminum Alloy During Its Crystallization in a Cylindrical Crucible.” ©2014 by Institute of Physics, University of Latvia.

A linear region of a graph is a range of data that can be approximated with a straight line. Based on Figure 1, for Alloy Q initially at a temperature of 550°C, which of the following ranges of F best represents a linear region?

  1. F

    Between 0 and 10 × 10 7 7

  2. G

    Between 10 × 10 and 20 × 10 7 7

  3. H

    Between 20 × 10 and 30 × 10 7 7

  4. J

    Between 30 × 10 and 40 × 10

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