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Question

Thermal conductivity of aluminum, copper and stainless steel increases in the order

This question was previously asked in
NDA II 2015 GAT Previous Year Paper (16-Dec-2015)
The correct answer is

Stainless steel < Aluminum < Copper

Understanding Thermal Conductivity

Thermal conductivity is a property of a material that indicates its ability to conduct heat. Materials with high thermal conductivity transfer heat quickly, while those with low thermal conductivity act as insulators, transferring heat slowly. The question asks for the order of increasing thermal conductivity for aluminum, copper, and stainless steel.

Comparing Thermal Conductivity of Metals

Different metals have different thermal conductivities. This property is important in many applications, such as cooking utensils, heat exchangers, and electronic cooling systems.

Let's look at typical approximate thermal conductivity values for the three materials mentioned:

Material Approximate Thermal Conductivity (\(k\)) at \(20^\circ\text{C}\) (\(\text{W/m}\cdot\text{K}\))
Stainless Steel (various grades) 15 - 20
Aluminum 205
Copper 400

Determining the Order of Increasing Thermal Conductivity

Based on the approximate thermal conductivity values:

  • Stainless steel has the lowest thermal conductivity (around 15-20 W/m·K).
  • Aluminum has a significantly higher thermal conductivity than stainless steel (around 205 W/m·K).
  • Copper has the highest thermal conductivity among the three (around 400 W/m·K).

Therefore, the order of increasing thermal conductivity, from lowest to highest, is:

Stainless steel < Aluminum < Copper

This means stainless steel is the poorest conductor of heat among the three, aluminum is a good conductor, and copper is an excellent conductor.

Final Answer Analysis

The question asks for the order of increasing thermal conductivity. Comparing the materials based on typical values:

  • Stainless steel has the lowest thermal conductivity.
  • Aluminum has intermediate thermal conductivity.
  • Copper has the highest thermal conductivity.

Thus, the order from lowest to highest thermal conductivity is Stainless steel, then Aluminum, then Copper.

Revision Table: Thermal Properties Summary

Material Thermal Conductivity Order Typical Application Reflecting Conductivity
Stainless Steel Lowest Cookware handles (to reduce heat transfer), Flasks
Aluminum Medium Cookware bases, Heat sinks, Radiators
Copper Highest High-performance heat sinks, Plumbing (hot water), Electrical wiring (related to heat dissipation)

Additional Information on Thermal Conductivity

Thermal conductivity is a fundamental transport property. It is influenced by temperature, material composition, crystal structure, and impurities. Pure metals generally have high thermal conductivity, while alloys like stainless steel tend to have lower values compared to their constituent pure metals. Copper is known for its excellent thermal and electrical conductivity, making it widely used in heat transfer and electrical applications.

Factors affecting thermal conductivity include:

  • Temperature: For most pure metals, thermal conductivity decreases with increasing temperature. For alloys and non-metals, the relationship can be more complex.
  • Impurities and Alloys: Adding impurities or creating alloys generally reduces thermal conductivity by scattering the heat carriers (electrons and phonons).
  • Phase: The thermal conductivity of a substance is typically highest in the solid phase, lower in the liquid phase, and lowest in the gas phase.
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