All questions
AP Physics 2
9.5 Specific Heat and Thermal Conductivity
IntermediateMCQProportional AnalysisConceptual22.7k
Two side-by-side cross-sectional diagrams labeled Configuration 1 and Configuration 2. On the left, Configuration 1 shows a single vertical wall layer of thickness d with temperature T_H on the left face and T_C on the right face. A horizontal arrow pointing right through the wall is labeled H_0. On the right, Configuration 2 shows two adjacent vertical wall layers each of thickness d. The left layer is labeled k_metal and the right layer is labeled k_fiber = k_metal / 4. Temperature T_H is on the far-left face and T_C is on the far-right face. A horizontal arrow pointing right through both layers is labeled H_new. No other labels, lines, text, or axes appear.
Cross sections of uninsulated and insulated wall configurations.
A flat metal wall of a storage tank has a thickness \(d\) and thermal conductivity \(k_{\text{metal}}\). Thermal energy transfers through the wall at a rate \(H_0\) when a constant temperature difference \(\Delta T\) is maintained across its inner and outer surfaces. To reduce heat transfer, a layer of fiberglass insulation of the same thickness \(d\) and thermal conductivity \(k_{\text{fiber}} = \dfrac{1}{4}k_{\text{metal}}\) is added directly to the outer surface of the wall, while maintaining the same overall temperature difference \(\Delta T\) across the combined two-layer boundary. What is the ratio \(H_{\text{new}} / H_0\) of the new rate of thermal energy transfer to the original rate?

Log In to Continue

Accounts are free! Log in to try this question, see explanations, save progress, and more!

Tools for a 5