Chapter 14, Problem 36P

To determine

Heat conduction rate along the rod

Answer to Problem 36P

Solution:

$\text{93 W}$

Explanation of Solution

Given Info:

Length of copper rod is 56 cm and diameter is 2 cm. Temperature is 460°C at one end of rod and other end is 22°C immersed in water

Formula used:

Rate of heat flow can be calculated by

$\frac{Q}{t}=kA\frac{T_1-T_2}{l}$

Calculation:

$\begin{array}{l}\frac{Q}{t}=kA\frac{T_1-T_2}{l}\\ \text{=}\frac{\text{380J}}{\text{s}\text{.m}\text{.°C}}\text{(3(0}{\text{.01)}}^{\text{2}}\text{)}\frac{\text{(460-22)°C}}{\text{0}\text{.56m}}\\ \text{=93W}\end{array}$