Physics for Scientists and Engineers: Foundations and Connections
15th Edition
ISBN: 9781305289963
Author: Debora M. Katz
Publisher: Cengage Custom Learning
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Chapter 21, Problem 61PQ
To determine
The equilibrium temperature of the highway surface.
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Consider a flat sheet of iron at 300 K does not receive any radiation from its surroundings. The metal is 10 cm x 10 cm x 0.1 cm; the heat capacity is 25 J/K mol; the density is 7.86 g/cm3
a) How many joules per second are lost by radiation initially? Assume that one flat side only radiates into space.
b) After 20 minutes, what is the temperature of the metal plate?
At midday when a large construction site covered with black tarps is directly under the Sun, it receives 975 W of solar power per square meter of surface from the Sun. If this hot surface loses energy only by radiation back into the atmosphere, what is its equilibrium temperature (in K)? You may use an emissivity of
e = 1
for a black surface.
Suppose a person is covered head to foot by wool clothing with an average thickness of d = 1.95 cm and is transferring energy by conduction through the clothing at the rate of Q / Δt = 45 W.
What is the temperature difference, in terms of the quantities given in the problem statement, across the clothing? Denote the surface area of the wool by A and the thermal conductivity by k.
Chapter 21 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 21.2 - Incorrect. Heat is not contained in Texas. The...Ch. 21.3 - In each situation listed, an objects temperature...Ch. 21.4 - Prob. 21.3CECh. 21.4 - Prob. 21.4CECh. 21.7 - Prob. 21.5CECh. 21.7 - Prob. 21.6CECh. 21.7 - Prob. 21.7CECh. 21.7 - Prob. 21.8CECh. 21.7 - Prob. 21.9CECh. 21 - Prob. 1PQ
Ch. 21 - Prob. 2PQCh. 21 - You extend an impromptu invitation to a friend for...Ch. 21 - Prob. 4PQCh. 21 - Prob. 5PQCh. 21 - Prob. 6PQCh. 21 - Prob. 7PQCh. 21 - Prob. 8PQCh. 21 - Prob. 9PQCh. 21 - Prob. 10PQCh. 21 - Prob. 11PQCh. 21 - Prob. 12PQCh. 21 - Prob. 13PQCh. 21 - Prob. 14PQCh. 21 - Prob. 15PQCh. 21 - Prob. 16PQCh. 21 - Prob. 17PQCh. 21 - Prob. 18PQCh. 21 - Prob. 19PQCh. 21 - From Table 21.1, the specific heat of milk is 3.93...Ch. 21 - Prob. 21PQCh. 21 - Prob. 22PQCh. 21 - An ideal gas is confined to a cylindrical...Ch. 21 - Prob. 24PQCh. 21 - You place frozen soup (T = 17C) in a microwave...Ch. 21 - A 25-g ice cube at 0.0C is heated. After it first...Ch. 21 - Prob. 27PQCh. 21 - Prob. 28PQCh. 21 - Prob. 29PQCh. 21 - Prob. 30PQCh. 21 - Consider the latent heat of fusion and the latent...Ch. 21 - Prob. 32PQCh. 21 - Prob. 33PQCh. 21 - A thermodynamic cycle is shown in Figure P21.34...Ch. 21 - Prob. 35PQCh. 21 - Figure P21.36 shows a cyclic thermodynamic process...Ch. 21 - Figure P21.37 shows a PV diagram for a gas that is...Ch. 21 - Prob. 38PQCh. 21 - Prob. 39PQCh. 21 - Prob. 40PQCh. 21 - Prob. 41PQCh. 21 - Prob. 42PQCh. 21 - Prob. 43PQCh. 21 - Prob. 44PQCh. 21 - Figure P21.45 shows a cyclic process ABCDA for...Ch. 21 - Prob. 46PQCh. 21 - Prob. 47PQCh. 21 - Prob. 48PQCh. 21 - Prob. 49PQCh. 21 - Prob. 50PQCh. 21 - Prob. 51PQCh. 21 - Prob. 52PQCh. 21 - Prob. 53PQCh. 21 - Prob. 54PQCh. 21 - Prob. 55PQCh. 21 - You extend an impromptu invitation to a friend for...Ch. 21 - Prob. 57PQCh. 21 - Prob. 58PQCh. 21 - A lake is covered with ice that is 2.0 cm thick....Ch. 21 - A concerned mother is dressing her child for play...Ch. 21 - Prob. 61PQCh. 21 - Prob. 62PQCh. 21 - Prob. 63PQCh. 21 - Prob. 64PQCh. 21 - Prob. 65PQCh. 21 - Prob. 66PQCh. 21 - Prob. 67PQCh. 21 - Prob. 68PQCh. 21 - Three 100.0-g ice cubes initially at 0C are added...Ch. 21 - Prob. 70PQCh. 21 - Prob. 71PQCh. 21 - Prob. 72PQCh. 21 - Prob. 73PQCh. 21 - Prob. 74PQCh. 21 - Prob. 75PQCh. 21 - Prob. 76PQCh. 21 - Prob. 77PQCh. 21 - Prob. 78PQCh. 21 - How much faster does a cup of tea cool by 1C when...Ch. 21 - The PV diagram in Figure P21.80 shows a set of...Ch. 21 - Prob. 81PQCh. 21 - Prob. 82PQCh. 21 - Prob. 83PQCh. 21 - Prob. 84PQCh. 21 - Prob. 85PQ
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- At high noon, the Sun delivers 1 000 W to each square meter of a blacktop road. If the hot asphalt transfers energy only by radiation, what is its steady-state temperature?arrow_forwardThe 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?arrow_forwardTwo concrete spans that form a bridge of length L are placed end to end so that no room is allowed for expansion (Fig. P16.63a). If a temperature increase of T occurs, what is the height y to which the spans rise when they buckle (Fig. P16.63b)?arrow_forward
- 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?arrow_forwardA spherical shell has inner radius 3.00 cm and outer radius 7.00 cm. It is made of material with thermal conductivity k = 0.800 W/m C. The interior is maintained at temperature 5C and the exterior at 40C. After an interval of time, the shell reaches a steady state with the temperature at each point within it remaining constant in time. (a) Explain why the rate of energy transfer P must be the same through each spherical surface, of radius r, within the shell and must satisfy dTdr=P4kr2 (b) Next, prove that 5dT=P4k0.030.07r2dr where T is in degrees Celsius and r is in meters. (c) Find the rate of energy transfer through the shell. (d) Prove that 5TdT=1.840.03rr2dr where T is in degrees Celsius and r is in meters. (e) Find the temperature within the shell as a function of radius. (f) Find the temperature at r = 5.00 cm, halfway through the shell.arrow_forwardAn aluminum bar has a cross-section that is 2.5 cm by 4.8 cm and is 1.3 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?arrow_forward
- If 200 cm^3 of tea at 95°C is poured into a 150-g glass cup initially at 25°C, what will be the common final temperature T of the tea and cup when equilibrium is reached, assuming no heat flows to the surroundings? c(glass)= 840 J/kg·K c(water) = 4186 J/kg·Karrow_forwardA heavily insulated copper rod or diameter 2 cm and length 25 cm is used to pipe heat between two objects. If the rate of heat transfer is 100 W and the hot object has a temperature of 50oC, what is the temperature of the cold object in oC?arrow_forwardTrain tracks are composed of 10 m segments of steel rails. If the temperature outside is 30°C on average, and the temperature in the factory that produces the rails is 20°C, what length must the steel rails be produced at so that the fit perfectly end-to-end when laid outside? The linear expansion coefficient of steel is 1.2 x 10-5 K-1.arrow_forward
- A 5-cm-external-diameter, 10-m-long hot-water pipe at 80°C is losing heat to the surrounding air at 5°C by natural convection with a heat transfer coefficient of 25 W/m2·K. Determine the rate of heat loss from the pipe by natural convection.arrow_forwardA 50-g cube of ice, initially at 0.0°C, is dropped into 200 g of water in an 80-g aluminum container, both initially at 30°C. What is the final equilibrium temperature in Kelvin? (Specific heat for aluminum is 900 J/kg×C°, the specific heat of water is 4 186 J/kg×C°, and Lf = 3.33×10 5 J/kg.)arrow_forwardSuppose a person is covered head to foot by wool clothing with average thickness of 2.25 cm and is transferring energy of 3000 joules by conduction through the clothing for 2 minutes. What is the temperature difference across the clothing, given the surface area is 1.2m2? (Given: Thermal conductivity of wool is 0.04 W/mK) a) The difference in temperature?arrow_forward
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Heat Transfer: Crash Course Engineering #14; Author: CrashCourse;https://www.youtube.com/watch?v=YK7G6l_K6sA;License: Standard YouTube License, CC-BY