In this problem you will estimate the heat lost by atypical house, assuming that the temperature insideis Tin = 20°C and the temperature outside isTout = 0°C. The walls and uppermost ceiling of atypical house are supported by 2 x 6-inch woodenbeams (kwood = 0.12 W/(mK)) with fiberglassinsulation (kins = 0.04 W/(mK)) in between.The true depth of the beams is actually 5.625%3D%3D%3Dinches, but we will take the thickness of the wallsand ceiling to be Lwall = 18 cm to allow for theinterior and exterior covering. Assume that thehouse is a cube of length L = 9.0 m on a side.Assume that the roof has very high conductivity, sothat the air in the attic is at the same temperatureas the outside air. Ignore heat loss through theground. The effective thermal conductivity of thewall (or ceiling) keff , is the area-weighted averageof the thermal conductivities of the wooden beamsand the fiberglass insulation that make up each ofthem. Allowing for the fact that the 2 x 6 beamsare actually only 1.625 inches wide and arespaced 16 inches center to center, a calculation ofthis conductivity for the walls yieldskeff = 0.048 W/(mK). For simplicity, assumethat the ceiling also has the same value of keff - Let us assume that the winter consists of 150 days in which the outside temperature is 0° C. This will give the typicalnumber of "heating degree days" observed in a winter along the northeastern US seaboard. (The cumulative numberof heating degree days is given daily by the National Weather Service and is used by oil companies to determinewhen they should fill the tanks of their customers.) Given that a gallon (3.4 kg) of oil liberates Qg = 1.4 x 10° Jwhen burned, how much oil will be needed to supply the heat lost by conduction from this house over a winter?Assume that the heating system is 75% efficient.Give your answer numerically in gallons to two significant figures.• View Available Hint(s)?Gallons consumed =gallons per winter

The inside temperature of the house Tin = 20oC The outside temperature of the house Tout = 0oC…

las tion (kins = 0.04 W/(mK)) in between. ue depth of the beams is actually 5.625 , but we will take the thickness of the walls eiling to be Lwall = 18 cm to allow for the r and exterior covering. Assume that the is a cube of length L = 9.0 m on a side. he that the roof has very high conductivity, so e air in the attic is at the same temperature outside air. Ignore heat loss through the d. The effective thermal conductivity of the or ceiling) keff , is the area-weighted average thermal conductivities of the wooden beams wood glass o fiborglacs inculation that mako up nch of

las tion (kins = 0.04 W/(mK)) in between. ue depth of the beams is actually 5.625 , but we will take the thickness of the walls eiling to be Lwall = 18 cm to allow for the r and exterior covering. Assume that the is a cube of length L = 9.0 m on a side. he that the roof has very high conductivity, so e air in the attic is at the same temperature outside air. Ignore heat loss through the d. The effective thermal conductivity of the or ceiling) keff , is the area-weighted average thermal conductivities of the wooden beams wood glass o fiborglacs inculation that mako up nch of

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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