Question

Heat conduction through a wall follows:

• A. Fourier's law
• B. Newton's law
• C. Stefan–Boltzmann law
• D. Kirchhoff's law

Hint:

Fourier's law is fundamental to understanding heat conduction, and it can be applied to determine the rate of heat transfer through a solid material.

Answer 1

The Correct Option is A

Heat conduction through a wall follows Fourier's law, which states that the heat transfer rate is proportional to the temperature gradient and the area through which heat is conducted. The law is mathematically expressed as: \[ Q = -kA \frac{dT}{dx} \] where:
- \( Q \) is the heat transfer rate,
- \( k \) is the thermal conductivity,
- \( A \) is the area through which heat is conducted,
- \( \frac{dT}{dx} \) is the temperature gradient.
- Newton's law is related to convective heat transfer, not conduction.
- Stefan–Boltzmann law is related to thermal radiation, not conduction.
- Kirchhoff's law deals with the conservation of energy in electrical circuits, not heat conduction.
Thus, heat conduction through a wall follows Fourier's law.