Question

The ends of a 20-cm-long, 2.0-cm-diameter rod are maintained at $0°C$and $100°C$by immersion in an ice-water bath and boiling water. Heat is conducted through the rod at 4.5 * 104 J per hour. Of what material is the rod made?

Short answer

The material of which the rod is made is iron.

Step-by-step solution

Description of Material

Here,

$\frac{dQ}{dt}=\frac{kA}{L}∆T$

Final Calculation

Here,

$$\begin{gathered} k=\frac{L}{A∆T}\frac{dQ}{dt} \\ =\frac{4L∆Q}{{\mathrm{\pi D}}^2∆\mathrm{t}∆\mathrm{T}} \\ =79.6 \end{gathered}$$

It can be found that the thermal conductivity of iron is $80\frac{W}{mK}$

Therefore, the material is iron.