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Dr. Vega, a materials engineer, is analyzing a composite material that expands linearly with temperature. At 20°C, its length is 2.5 meters; at 120°C, it measures 2.555 meters. What will its length be at 220°C?
First, find the rate of expansion per °C: ΔL = 2.555 − 2.5 = 0.055 m over 100°C → rate = 0.055 / 100 = <<0.055/100=0.00055>>0.00055 m/°C
From 20°C to 220°C is a 200°C increase → expansion = 2.5 + (0.00055 × 200) = 2.5 + 0.11 = <<2.5+0.11=2.61>>2.61 m

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