An electronics manufacturer must select a material for a heat sink that efficiently…

PHYSICS · Multi-part · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

An electronics manufacturer must select a material for a heat sink that efficiently transfers thermal energy while providing moderate mechanical strength. Three candidate aluminum–silicon alloys are available; their measured properties at 300 K300\,\text{K} are listed below. Numerical/Tabular Representation
AlloyMass % SiThermal conductivity / W⋅m−1⋅K−1\text{W}\cdot\text{m}^{-1}\cdot\text{K}^{-1}Vickers hardness / MPa
A0235160
B5200230
C12155310
All other variables (surface area, geometry, and operating temperature range) are identical for the three alloys. (1) Part 1: (a) Using the data, identify which alloy best balances high thermal conductivity with acceptable hardness for the manufacturer’s purpose. Explain your choice. (2) Part 2: (b) Provide a particulate-level explanation for the observed decrease in thermal conductivity as silicon content increases, making explicit reference to the metallic bonding model. (3) Part 3: (c) Suggest one additional metallic element (other than Si) that could be alloyed with aluminum to improve mechanical strength without causing as drastic a reduction in thermal conductivity. Justify your choice in terms of its effect on the electron sea and lattice distortion.

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