A straight copper rod of length and uniform cross-sectional area has its two ends…

PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Thermodynamics · Thermodynamics

Problem

A straight copper rod of length 0.50 m0.50\,\text{m} and uniform cross-sectional area 2.0 cm22.0\,\text{cm}^2 has its two ends maintained at 100 ∘C100\,^{\circ}\mathrm C and 20 ∘C20\,^{\circ}\mathrm C respectively under steady conditions. For copper, take the thermal conductivity as 400 W m−1K−1400\,\text{W m}^{-1}\text{K}^{-1}. (a) Calculate the rate at which heat flows through the rod under these conditions. (b) How much heat energy is conducted from the hot end to the cold end in 5 min5\,\text{min}?

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