(Solved): Help please 3. Clothing made of several thin layers of fabric with trapped air in between, often cal ...

3. Clothing made of several thin layers of fabric with trapped air in between, often called ski clothing, is commonly used in cold climates because it is light, fashionable, and a very effective thermal insulator. So it is no surprise that such clothing has largely replaced thick and heavy old-fashioned coats. Consider a jacket made of five layers of 0.1-mm-thick syn-thetic fabric $$(\mathrm{k}=0.13\mathrm{W}/\mathrm{m}?\mathrm{K})$$ with $$1.5?\mathrm{mm}$$ thick air space $$(k=0.026\mathrm{W}/\mathrm{m}?\mathrm{K})$$ between the layers. Assuming the inner surface temperature of the jacket to be $$28^{?}\mathrm{C}$$ and the surface area to be $$1.25{\mathrm{m}}^2$$. AREN 3024 BUILDING PHYSICS (a) Determine the rate of heat loss through the jacket when the temperature of the outdoors is $$0^{?}\mathrm{C}$$ and the heat transfer coefficient at the outer surface is $$25\mathrm{W}/{\mathrm{m}}^2?\mathrm{K}$$. (20 pts) (b) What would your response be if the jacket is made of a single layer of $$0.5?\mathrm{mm}$$-thick synthetic fabric? (10 pts) (c) What should be the thickness of a wool fabric $$(k=0.035\mathrm{W}/\mathrm{m}?\mathrm{K})$$ if the person is to achieve the same level of thermal comfort wearing a thick wool coat instead of a five-layer ski jacket? (10 pts)