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.

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.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 9OQ

See similar textbooks

Similar questions

The thermal conductivities of human tissues vary greatly. Fat and skin have conductivities of about 0.20 W/m K and 0.020 W/m K, respectively, while other tissues inside the body have conductivities of about 0.50 W/m K. Assume that between the core region of the body and the skin sin face lies a skin layer of 1.0 mm, fat layer of 0.50 cm, and 3.2 cm of other tissues. (a) Find the R-factor for each of these layers, and the equivalent R-factor for all layers taken together, retaining two digits. (b) Find the rate of energy loss when the core temperature is 37C and the exterior temperature is 0C. Assume that both a protective layer of clothing and an insulating layer of unmoving air a absent, and a body area of 2.0 m2.
An aluminum rod 0.500 m in length and with a cross sectional area of 2.50 cm2 is inserted into a thermally insulated vessel containing liquid helium at 4.20 K. The rod is initially at 3(H) K. (a) If one-halt of the rod is inserted into the helium, how many liters of helium boil off by the time the inserted half cools to 4.20 K? Assume the upper half does not yet cool, (b) If the circular surface of the upper end of the rod is maintained at 300 K. what is the approximate boil-off rate of liquid helium in liters per second after the lower half has reached 4.20 K? (Aluminum has thermal conductivity of 3 100 YV/m K at 4.20 K; ignore its temperature variation. The density of liquid helium is 125 kg/m3.)
One of a dilute diatomic gas occupying a volume of 10.00 L expands against a constant pressure of 2.000 atm when it is slowly heated. If the temperature of the gas rises by 10.00 K and 400.0 J of heat are added in the process, what is its final volume?
For a temperature increase of 10 at constant volume, what is the heat absorbed by (a) 3.0 mol of a dilute monatomic gas; (b) 0.50 mol of a dilute diatomic gas; and (c) 15 mol of a dilute polyatomic gas?
The cross section radius of a bar of metal of length L and uniform coefficient of thermal conductivity k is expressed as r = (1 + x)1/2, where x is the distance from one end of the bar. Calculate the rate of heat transfer H if the two ends are kept at temperatures TH and TL respectively
Approximately how long should it take 9.5 kg of ice at 0 °C to melt when it is placed in a carefully sealed Styrofoam ice chest of dimensions 25 cm × 35 cm x 55 cm whose walls are 1.1 cm thick? Assume that the conductivity of Styrofoam is double that of air and that the outside temperature is 35 °C. Express your answer using two significant figures. VE ΑΣΦ ? S
A metal rod of length 30 cm and radius 1 cm is cov- ered with an insulating material. One end of the rod is maintained at 100°C and the other end is immersed in ice at 0°C. It is found that 31.4 g of ice melts in 5 minutes. Calculate the thermal conductivity of metal. Latent heat of fusion of ice = 80 cal g.
(a) Calculate the rate of heat conduction (in W) through house walls that are 11.5 cm thick and that have an average thermal conductivity twice that of glass wool. Assume there are no windows or doors. The surface area of the walls is 150 m2 and their inside surface is at 20.0°C, while their outside surface is at 5.00°C. 1340000 X W (b) How many 1 kW room heaters would be needed to balance the heat transfer due to conduction? (Round your answer to the next whole integer.) 2 1 kW room heaters --..-- (a) Calculate the rate of heat conduction (in W) through house walls that are 11.5 cm thick and that have an average thermal conductivity twice that of glass wool. Assume there are no windows or doors. The surface area of the walls is 150 m² and their inside surface is at 20.0°C, while their outside surface is at 5.00°C. 1565.21 X W (b) How many 1 kW room heaters would be needed to balance the heat transfer due to conduction? (Round your answer to the next whole integer.) 1 kW room heaters…
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?
(a) Calculate the rate of heat conduction (in W) through house walls that are 11.5 cm thick and that have an average thermal conductivity twice that of glass wool. Assume there are no windows or doors. The surface area of the walls is 150 m? and their inside surface is at 20.0°C, while their outside surface is at 5.00°C. 1560 X W (b) How many 1 kW room heaters would be needed to balance the heat transfer due to conduction? (Round your answer to the next whole integer.) 1 kW room heaters (a) Calculate the rate of heat conduction (in W) through house walls that are 11.5 cm thick and that have an average thermal conductivity twice that of glass wool. Assume there are no windows or doors. The surface area of the walls is 150 m? and their inside surface is at 20.0°C, while their outside surface is at 5.00°C. 1565.21 X W (b) How many 1 kW room heaters would be needed to balance the heat transfer due to conduction? (Round your answer to the next whole integer.) 12 1 kW room heaters now from O…
(a)Calculate the rate of heat conduction (in W) through house walls that are 10.5 cm thick and that have an average thermal conductivity twice that of glass wool. Assume there are no windows or doors. The surface area of the walls is 145 m2 and their inside surface is at 21.5°C, while their outside surface is at 5.00°C. ________________ W (b)How many 1 kW room heaters would be needed to balance the heat transfer due to conduction? (Round your answer to the next whole integer.) ______________________ 1 kW room heaters
A square pane of glass 0.500 m on a side is 6.00 mm thick. Whenthe temperatures on the two sides of the glass are 25.0°C and -10.0°C,the heat current due to conduction through the glass is 1.10 * 10^3 W.(a) What is the thermal conductivity of the glass? (b) If the thickness of theglass is increased to 9.00 mm, what will be the heat current?