A glass rod, $k = 0.84$ W/(m.K), has cross-sectional area $A = 10$ cm $2$ and a length of 2 m. If the ends have a temperature difference of 100 K, the rate at which thermal energy is transported down the rod is

Question

Quizplus · Accepted Answer

The rate of thermal energy transport, or heat transfer rate ($Q/t$), through the rod can be calculated using the formula $Q/t = kA(T_1 - T_2)/L$, where $k$ is the thermal conductivity, $A$ is the cross-sectional area in square meters, $T_1 - T_2$ is the temperature difference in Kelvin, and $L$ is the length of the rod in meters. Substituting the given values: $Q/t = 0.84 \times 10^{-2} \times 100 / 2 = 0.042$ W, which is 42 mJ/s, since $1 W = 1 J/s$.

A Glass Rod k=0.84k = 0.84k=0.84 W/(mK), Has Cross-Sectional Area A=10A = 10A=10

A Glass Rod $k = 0.84$ W/(mK), Has Cross-Sectional Area $A = 10$