A copper rod of length and cross-sectional area has its ends maintained at and…

PHYSICS · Subjective · AP · Physics 2: Algebra-based · Thermodynamics · Thermodynamics

Problem

A copper rod of length 0.50 m0.50\,\text{m} and cross-sectional area 2.0×10−4 m22.0\times10^{-4}\,\text{m}^2 has its ends maintained at 373 K373\,\text{K} and 303 K303\,\text{K} respectively. The thermal conductivity of copper is given in a handbook as 0.92 cal cm−1 s−1 K−10.92\,\text{cal}\,\text{cm}^{-1}\,\text{s}^{-1}\,\text{K}^{-1}. (i) Convert this tabulated value of thermal conductivity to SI units. (ii) Using the converted value, calculate the rate of heat flow through the rod. (iii) Show explicitly that the unit obtained for the heat flow rate in part (ii) reduces to the watt (W)(\text{W}).

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