A large body of lava from a volcano has stopped flowing and is slowly cooling. The interior of the lava is at 12 00 ° C , its surface is at 45 0 ° C , and the surroundings are at 27 .0 ° C . (a) Calculate the rate at which energy is transferred by radiation from 1 .00 m 2 of surface lava into the surroundings, assuming the emissivity is 1.00. (b) Suppose heat conduction to the surface occurs at the same rate. What is the thickness of the lava between the 45 0 ° C surface and the 12 00 ° C interior, assuming that the lava’s conductivity is the same as that of brick?
A large body of lava from a volcano has stopped flowing and is slowly cooling. The interior of the lava is at 12 00 ° C , its surface is at 45 0 ° C , and the surroundings are at 27 .0 ° C . (a) Calculate the rate at which energy is transferred by radiation from 1 .00 m 2 of surface lava into the surroundings, assuming the emissivity is 1.00. (b) Suppose heat conduction to the surface occurs at the same rate. What is the thickness of the lava between the 45 0 ° C surface and the 12 00 ° C interior, assuming that the lava’s conductivity is the same as that of brick?
A large body of lava from a volcano has stopped flowing and is slowly cooling. The interior of the lava is at
12
00
°
C
, its surface is at
45
0
°
C
, and the surroundings are at
27
.0
°
C
. (a) Calculate the rate at which energy is transferred by radiation from
1
.00
m
2
of surface lava into the surroundings, assuming the emissivity is 1.00. (b) Suppose heat conduction to the surface occurs at the same rate. What is the thickness of the lava between the
45
0
°
C
surface and the
12
00
°
C
interior, assuming that the lava’s conductivity is the same as that of brick?
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The north wall of an electrically heated home is 20 ft long, 10 ft high, and 1 ft thick, and is made of brick whose thermal conductivity is k = 0.42 Btu/h·ft·°F. On a certain winter night, the temperatures of the inner and the outer surfaces of the wall are measured to be at about 62°F and 25°F, respectively, for a period of 8 h. Determine (a) the rate of heat loss through the wall that night and (b) the cost of that heat loss to the home owner if the cost of electricity is $0.07/kWh.
the surface area of a picnic cooler is 2.10 m^2 and it has walls constructed of a material 1.50 cm thick that has a thermal conductivity of 2.00 X 10^-2 W/(m x degrees celsius). If the temperatures inside and outside are 0.0 degress celsius and 28.5 degrees celsius, determine the rate of heat flow into the freezer and the time required to melt 2.50 kg of ice inside the cooler at 0.0 degrees celsius
Consider a 20 cm thick granite wall with a thermal conductivity of 2.79 W/m·K. The temperature of the left surface is held constant at 50°C, whereas the right face is exposed to a flow of 22°C air with a convection heat transfer coefficient of 15 W/m2·K. Neglecting heat transfer by radiation, find the right wall surface temperature and the heat flux through the wall.
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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