Which of the following is the correct unit of coefficient of thermal conductivity in terms of Watt (W), metre (m) and Kelvin (K)?
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A.
W−1 m K
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B.
W m K
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C.
W m−1 K−1
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D.
W m−1 K
Correct Answer:
C. W m−1 K−1
Explanation:
The correct unit for the coefficient of thermal conductivity is W m-1 K-1 (Watts per metre-Kelvin).
Thermal conductivity measures a substance's ability to transfer heat. According to Fourier's Law, the rate of heat flow is proportional to the area and the temperature gradient. When expressed mathematically, the unit is derived by dividing the heat flow rate (Watts) by the product of the distance (metres) and the temperature difference (Kelvin). This results in the standard SI expression of W/(m·K), which can be written as W m-1 K-1. Other options provided, such as W m K or W m-1 K, do not accurately represent this physical relationship.
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