Final answer:
To find the new diameter of a hole in a copper plate at 224°C, calculate the temperature change, multiply it by the linear expansion coefficient of copper and the original diameter, and add this change to the original diameter.
Step-by-step explanation:
The student's question relates to the thermal expansion of metals, specifically copper, and is asking how the diameter of a hole in a copper plate changes with temperature. To find the new diameter after a temperature change, we need to know the linear expansion coefficient for copper and use the formula for linear expansion - Δd = d₀αΔT, where Δd is the change in diameter, d₀ is the original diameter, α is the linear expansion coefficient of copper (approximately 16.5 × 10⁻¶ /°C), and ΔT is the change in temperature.
First, we calculate the temperature change: ΔT = 224°C - 21°C = 203°C. Then, we calculate the change in diameter: Δd = 1.325 cm x 16.5 × 10⁻¶ /°C x 203°C. Finally, we add the change to the original diameter to get the new diameter at 224°C.