Chapter 14, Problem 39P

To determine

Average distance of capillaries below the skin surface

Answer to Problem 39P

Solution:

$\text{1 mm}$

Explanation of Solution

Given Info:

150 W of heat flows by conduction from capillaries and body’s surface area is 1.5 m². Temperature difference is 0.50°C

Formula used:

Rate of heat flow can be calculated by

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

Calculation:

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

Substituting the values

$\begin{array}{l}150W=\frac{0.2J}{s.m.°C}(1.5m^2)\frac{(0.5)°C}{l}\\ l=1\text{mm}\text{.}\end{array}$