A Styrofoam box has a surface area of 0.81 m² and a wall thickness of 2.0 cm. The temperature of the inner surface is 5.0°C, and the outside temperature is 26°C. If it takes 8.5 h for 5.0 kg of ice tomelt in the container, determine the thermal conductivity of the Styrofoam. (Assume the ice is at a temperature of 0°C.)W/m · °C

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Answered: A Styrofoam box has a surface area of…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter21: Heat And The First Law Of Thermodynamics

Section: Chapter Questions

Problem 21PQ

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A Styrofoam box has a surface area of 0.84 m2 and a wall thickness of 2.0 cm. The temperature of the inner surface is 5.0°C, and the outside temperature is 26°C. If it takes 8.0h for 5.0 kg of ice to melt in the container, determine the thermal conductivity of the Styrofoam.
500 g of Ice at 0 °C is kept in an insulated cubic box. The length of the box is 30 cm and the thickness of the wall is 0.5 cm. The thermal conductivity of the wall is 0.04 W/mK. If the environment temperature outside the box is 25 °C, Determine (a) the rate of heat loss due to the heat conduction.
A box with a total surface area of 1.20 m2 and a wall thickness of 4.00 cm is made of an insulting material. A 10.0 -W electric heater inside the box maintains the inside temperature at 15.0 °C above the outside temperature. Find the thermal conductivity k of the insulating material.
A classroom has dimensions 8.00 m x 10.00 m x 3.00 m. A 1000 W electric space heater is being used to warm the room from 5.00°C to 20.00°C on a cold morning. If the density of air is 1.29 kg/m°, and the specific heat capacity of air is 1004 J/(kg-K), how long will it take to heat the room? Assume no loss of thermal energy to the surroundings. A) 1.30 minutes B) 241 minutes C) 45.3 minutes O D) 77.7 minutes
A box with a total surface area of 1.20 m and a wall thickness of 4.00 cm is made of an insulating material. A 10.0-W electric heater inside the box maintains the inside temperature at 15.0 °C above the outside temperature. Find the thermal conductivity k (in W/m. OC) of the insulating material. O 22.2 x 102 O1.11 x 10-2 O 2.22 x 10-2 O 4.44 x 10-2 O 11.2 x 10-2
An aluminum bar has a cross-section that is 5.07 cm by 6.38 cm and is 1.53 m long. Aluminum has a thermal conductivity of 205 W/m K. If the aluminum bar is used to bridge between ice at 0 °C and boiling water at 100 °C, what is the rate of heat transfer (in W) along the bar?
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 closed box is filled with dry ice at a temperature of -86.0 °C, while the outside temperature is 21.0 °C. The box is cubical, measuring 0.394 m on a side, and the thickness of the walls is 4.49 × 102 m. In one day, 3.76 × 106 J of heat is conducted through the six walls. Find the thermal conductivity of the material from which the box is made. Number Units
A solid concrete wall has dimensions 4.0 m × 2.4 m and is 30 cm thick. The thermal conductivity of the concrete is 1.3 W/m ∙ K, and it separates a basement from the ground outside. The inner surface of the wall is at 18°C, and the outside surface is at 6°C. How much heat flows through the wall every hour?
A glass window is 3.7 mm thick, is 2.29 m tall by 1.04 m wide, and has a thermal conductivity of 1.0 W/m K. What is the rate of heat loss (in W) through the window if the inside temperature is 22.3° C and the outside temperature is -20.7 ° C ?
The 10 m long pipe has an inner radius of 70 mm, an outer radius of 80 mm, and is made of stainless steel (k = 15 W / [m ° C]). The temperature of the inner surface is maintained at 150 ° C, and the outer surface is 30 ° C. At constant conditions and there is no heat generation from the pipe, calculate the heat transfer rate that occurs in the pipe wall. = Answer watt.
Ice of mass 12.8 kg at 0°C is placed in an ice chest. The ice chest has 2.7 cm thick walls of thermal conductivity 0.07 W/m·K and a surface area of 1.29 m2. Express your answers with appropriate mks units. (a) How much heat must be absorbed by the ice during the melting process? (b) If the outer surface of the ice chest is at 39° C, how long will it take for the ice to melt?

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