The ceiling of a tract house is constructed of wooden studs with fiberglass insulation between them. On the interior of the ceiling is plaster and on the exterior is a thin layer of sheet metal. A cross section of the ceiling with dimensions is shown below.(a) The R-factor describes the thermal resistance of insulation and is defined by:R-factor = L/keff = ??T/(q/A)Calculate the R-factor for this type of ceiling and compare the value of this R-factor with that for similar thickness of fiberglass. Why are the two different?(b) Estimate the rate of heat transfer per square meter through the ceiling if the interior temperature is 22?C and the exterior temperature is ??5?C.GIVENCeiling of a tract house, construction shown belowInside temperature (Ti) = 22?COutside temperature (To) = ??5?CASSUMPTIONSSteady state heat transferOne dimensional conduction through the ceilingThermal resistance of the sheet metal isnegligible

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To=-5°C Wood Studs 16 In. 13in-- - in Sheet Metal Flberglass + Plaster Tj= 22°C In.