A carpenter builds an exterior house wall with a layer of wood 3.0 cm thick on the outside and a layer of Styrofoam insulation 2.2 cm thick on the inside wall surface. The wood has k = 0.080 W/m · K, and the Styrofoam has k = 0.027 W/m · K. The interior surface temperature is 19.0°C, and the exterior surface temperature is −10.0°C. (a) What is the temperature at the plane where the wood meets the Styrofoam? (b) What is the rate of heat flow per square meter through this wall?
A carpenter builds an exterior house wall with a layer of wood 3.0 cm thick on the outside and a layer of Styrofoam insulation 2.2 cm thick on the inside wall surface. The wood has k = 0.080 W/m · K, and the Styrofoam has k = 0.027 W/m · K. The interior surface temperature is 19.0°C, and the exterior surface temperature is −10.0°C. (a) What is the temperature at the plane where the wood meets the Styrofoam? (b) What is the rate of heat flow per square meter through this wall?
A carpenter builds an exterior house wall with a layer of wood 3.0 cm thick on the outside and a layer of Styrofoam insulation 2.2 cm thick on the inside wall surface. The wood has k = 0.080 W/m · K, and the Styrofoam has k = 0.027 W/m · K. The interior surface temperature is 19.0°C, and the exterior surface temperature is −10.0°C. (a) What is the temperature at the plane where the wood meets the Styrofoam? (b) What is the rate of heat flow per square meter through this wall?
The exhaust duct from a heater has an inside diameter of 114.3 mm with ceramic walls 6.4 mm thick. The average k = 1.52 W/mK. Outside this wall, an insulation of rock wool 102 mm thick is installed. The thermal conductivity of the rock wool is k = 0.046+1.56*10-4T (°C) (W/mK). The inside surface temperature of the ceramic is T1= 588.7 K, and the outside surface temperature of the insulation is T3= 311 K. Calculate the heat loss for 1.5 m of duct and the interface temperature T2between the ceramic and the insulation.Assumesteady heat transfer.Hint: The correct value of km for insulation is that evaluated at the mean temperature of T2+T3/2. Hence, for the first trial assume a mean temperature of, say, 448 K. Then, calculate the heat loss and T2. Using this new T2, calculate a new mean temperature and proceed as before.
A carpenter builds an exterior house wall with a layer of wood 3.1 cm thick on the
outside and a layer of Styrofoam insulation 2.1 cm thick on the inside wall surface.
The wood has k = 0.080W/(m K), and the Styrofoam has
k = 0.010 W/(m - K). The interior surface temperature is 20.0°C, and the exterior
surface temperature is -10.0° C.
For related problem
▾ Part A
What is the temperature at the plane where the wood meets the Styrofoam?
Express your answer in Celsius degrees.
T=
Submit
▾ Part B
H=
ΤΗΝ ΑΣΦΗ
Submit
4
Request Answer
What is the rate of heat flow per square meter through this wall?
Express your answer in watts per meter squared.
ΕΠΙ ΑΣΦ A
O BI ?
Request Answer
"C
O ond ?
W/m²
Review | Constants
A carpenter builds an exterior house wall with a layer of wood 3.1 cm thick on the
outside and a layer of Styrofoam insulation 2.1 cm thick on the inside wall surface.
The wood has k = 0.080W/(m K), and the Styrofoam has
k = 0.010 W/(m - K). The interior surface temperature is 20.0°C, and the exterior
surface temperature is -10.0° C.
For related problem
▾ Part A
What is the temperature at the plane where the wood meets the Styrofoam?
Express your answer in Celsius degrees.
T=
Submit
Part B
H=
ΤΗΝ ΑΣΦΗ
Submit
4
Request Answer
O
What is the rate of heat flow per square meter through this wall?
Express your answer in watts per meter squared.
ΕΓΙ ΑΣΦΙ A
Request Answer
?
"C
O ond ?
W/m²
Review I Constants
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