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It should be highly mentioned that conduction rate is INDEPENDENT of the specific heat capavity on an object.
[Heat Conduction]
Heat conduction is the transmission of heat across matter.
The law of heat conduction, also known as Fourier's law, states that the time rate of heat flow Q through a slab (i.e. the rate of conduction) is proportional to the gradient of temperature difference:
圖片參考:
http://upload.wikimedia.org/math/7/2/5/725c0b09cb217253b8421a80e0b7267e.png
where:
Q is the time rate of heat flow through a slab,
Δt is the change in time,
k is a conductivity constant (dependent on the nature of the material and its temperature),
A is the transversal surface area,
ΔT is the temperature difference through which the heat is being transferred,
Δx is the thickness of the body of matter through which the heat is passing.
From this equation, it should be noticed that conduction is independent of specific heat capacity.
[Specific Heat Capacity]
Specific heat capacity, also known simply as specific heat (Symbol: C or c) is the measure of the heat energy required to raise the temperature of one unit mass of a substance (thus, the name “specific” heat) by one kelvin/degree Celcius.
It is only dependent to the material of the mass. Thus, the specific heat capacity of an object actually equals to the specific heat capacity of the particles inside this object.
Hope the above information helps =)