Bebang owns a 830-mm-thick concrete brick table top that has an area of 10,000,000 mm^2 and a 0.750-cm-thick glass plate that has an area of 20,000 cm^2. Assuming the same temperature difference across each, what is the ratio of the rate of heat conduction through the plate with respect to the rate of heat conduction through the table top? Use Table 10.1(given below) for the value of Thermal Conductivity k. Table 10.1 Thermal Contuctivities of Common Substances Values are gven for tempperatures nearoc. Thermal Conduetivity k (W/m Substance Diamond 2000 saver 420 Copper Gold Aminum 220

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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.32P
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Bebang owns a 830-mm-thick concrete brick table top that has an
area of 10,000,000 mm^2 and a 0.750-cm-thick glass plate that has
an area of 20,000 cm^2. Assuming the same temperature difference
across each, what is the ratio of the rate of heat conduction through
the plate with respect to the rate of heat conduction through the
table top? Use Table 10.1(given below) for the value of Thermal
Conductivity k.
Table 10.1 Thermat Conductivities of Common Substances
Values are given for temperatures near o °C.
Substance
Thermal Conductivity k (W/m-O
Diamond
2000
Silver
420
Copper
390
Gold
318
Aluminum
220
Steel iron
Steel (stainless)
14
Ice
2.2
Glass (average)
0.84
Concrete brick
O.84
water
0.6
Fatty tissue (without blood)
0.2
Asbestos
0.16
Plasterboard
0.16
wood
0.08-0.16
Snow (dry)
0.10
Cork
0.042
Glass wool
0.042
wool
0.04
Down feathers
0.025
Air
0.023
Polystyrene foam
0.010
Transcribed Image Text:Bebang owns a 830-mm-thick concrete brick table top that has an area of 10,000,000 mm^2 and a 0.750-cm-thick glass plate that has an area of 20,000 cm^2. Assuming the same temperature difference across each, what is the ratio of the rate of heat conduction through the plate with respect to the rate of heat conduction through the table top? Use Table 10.1(given below) for the value of Thermal Conductivity k. Table 10.1 Thermat Conductivities of Common Substances Values are given for temperatures near o °C. Substance Thermal Conductivity k (W/m-O Diamond 2000 Silver 420 Copper 390 Gold 318 Aluminum 220 Steel iron Steel (stainless) 14 Ice 2.2 Glass (average) 0.84 Concrete brick O.84 water 0.6 Fatty tissue (without blood) 0.2 Asbestos 0.16 Plasterboard 0.16 wood 0.08-0.16 Snow (dry) 0.10 Cork 0.042 Glass wool 0.042 wool 0.04 Down feathers 0.025 Air 0.023 Polystyrene foam 0.010
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