The average rate at which energy is conducted outward through the ground surface in North America is 54.0 mW/m2, and the average thermal conductivity of the near-surface rocks is 2.50 W/mK. Assuming a surface temperature of 10.0 C, find the temperature at a depth of 35.0 km (near the base of the crust). Ignore the heat generated by the presence of radioactive elements.

The average rate at which energy is conducted outward through the ground surface in North America is 54.0 mW/m2, and the average thermal conductivity of the near-surface rocks is 2.50 W/mK. Assuming a surface temperature of 10.0 C, find the temperature at a depth of 35.0 km (near the base of the crust). Ignore the heat generated by the presence of radioactive elements.

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter11: Energy In Thermal Processes

Section: Chapter Questions

Problem 54AP: The surface area of an unclothed person is 1.50 m2, and his skin temperature is 33.0C. The person is...

See similar textbooks

Similar questions

At 25.0 m below the surface of the sea, where the temperature is 5.00C, a diver exhales an air bubble having a volume of 1.00 cm3. If the surface temperature of the sea is 20.0C, what is the volume of the bubble just before it breaks the surface?
The surface area of an unclothed person is 1.50 m2, and his skin temperature is 33.0C. The person is located in a dark room with a temperature of 20.0C, and the emissivity of the skin is e = 0.95. (a) At what rate is energy radiated by the body? (b) What is the significance of the sign of your answer?
Geologists measure conductive heat flow out of the earth by drilling holes (a few hundred meters deep) and measuring the temperature as a function of depth. Suppose that in a certain location the temperature increases by 20°C per kilometer of depth and the thermal conductivity of the rock is 2.5 W/m·K. What is the rate of heat conduction per square meter in this location? Assuming that this value is typical of other locations over all of earth's surface, at approximately what rate is the earth losing heat via conduction? (The radius of the earth is 6400 km.)
The average thermal conductivity of the walls (including windows) and roof of a house in the figure shown below is 4.8 10-4 kW/m · °C, and their average thickness is 20.8 cm. The house is heated with natural gas, with a heat of combustion (energy given off per cubic meter of gas burned) of 9,300 kcal/m3. How many cubic meters of gas must be burned each day to maintain an inside temperature of 25.9°C if the outside temperature is 0.0°C? Disregard surface air layers, radiation, and energy loss by heat through the ground. m3 A house has a rectangular base and a roof that peaks along a line above the center of the house and parallel to the length of the house. This roof slopes downward from the peak to each edge at an angle of 37.0° with the horizontal. The length of the front of the house is 10.0 meters. The width of the house is 8.00 meters. The height from the front of the house up to the edge of the roof is 5.00 meters.
The average thermal conductivity of the walls (including windows) and roof of a house in the figure shown below is 4.8 x 104 kW/m - °C, and their average thickness is 21.4 cm. The house is heated with natural gas, with a heat of combustion (energy given off per cubic meter of gas burned) of 9,300 kcal/m3. How many cubic meters of gas must be burned each day to maintain an inside temperature of 24.0°C if the outside temperature is 0.0°C? Disregard surface air layers, radiation, and energy loss by heat through the ground. 34.68 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m3 137.00 5.00 m 00 8.00 m 10.0 m
The average thermal conductivity of the walls (including windows) and roof of a house in the figure shown below is 4.8 x 104 kW/m - °C, and their average thickness is 20.8 cm. The house is heated with natural gas, with a heat of combustion (energy given off per cubic meter of gas burned) of 9,300 kcal/m3. How many cubic meters of gas must be burned each day to maintain an inside temperature of 27.3°C if the outside temperature is 0.0°C? Disregard surface air layers, radiation, and energy loss by heat through the ground. m3 37.0 5.00 m 8.00 m 10.0 m
A 0,244 m thick furnace wall is made of material with a thermal conductivity of 1.30 W / m.K. In order for the heat loss from the furnace to be 1130 W / m2, the wall will be insulated from the outside with a material with an average thermal conductivity of k: 0,346 W / m.K. Internal surface temperature is 1588 K and external surface temperature is 219 K. Calculate the required insulation thickness
A thin electronic component with a surface area of 950 cm2 is cooled by having a heat sink attached on its top surface. The thermal contact conductance of the interface between the electronic component and the heat sink is 25,000 W/m2∙K. According to the manufacturer, the heat sink has combined convection and radiation thermal resistance of 1.3 K/W. If the electronic component dissipates 45 W of heat through the heat sink in a surrounding temperature of 30°C, determine the temperature of the electronic component. Does the contact resistance at the interface of the electronic component and the heat sink play a significant role in the heat dissipation?
Consider a person standing in a room at 20°C with an exposed surface area of 1.7 m2. The deep body temperature of the human body is 37°C, and the thermal conductivity of the human tissue near the skin is about 0.3 W/m K. The body is losing heat at a rate of 150 W by natural convection and radiation to the surroundings. Taking the body temperature 0,5 cm beneath the skin to be 37°C, determine the skin temperature of the person.
The average thermal conductivity of the walls (including windows) and roof of a house in the figure shown below is 4.8 x 104 kW/m · °C, and their average thickness is 21.4 cm. The house is heated with natural gas, with a heat of combustion (energy given off per cubic meter of gas burned) of 9,300 kcal/m3. How many cubic meters of gas must be burned each day to maintain an inside temperature of 23.5°C if the outside temperature is 0.0°C? Disregard surface air layers, radiation, and energy loss by heat through the ground. 37.00 5.00 m 8,00 m 10.0 m
The concrete slab of a basement is 11m long, 8 m wide and 0.2 m thick. During the winter, temperatures are nominally 17°C and 10°C at the top and bottom respectively. If the concrete has thermal conductivity of 1.4 W/m K, what is the rate of heat loss through the slab? If the basement is heated by a gas furnace operating at an efficiency of 90% using natural gas priced at Cg = Php 1.00/MJ, what is the daily cost of heat loss?
The core temperature of an athlete is 37 °C and his surface area is 1.8 m2. The thermal conductivity of his surface tissue, which is 6 mm thick on average, is 0.18W/m K. If heat is transferred from his core to his skin at a rate of 270W, what is the average temperature of his skin surface?