Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 18, Problem 74P
In a series of experiment, block B is to be placed in a thermally insulated container with block A, which has the same mass as block B. In each experiment, block B is initially at a certain temperature TB, but temperature TA of block A is changed front experiment to experiment. Let Tf represent the final temperature of the two blocks when they reach thermal equilibrium in any of the experiments. Figure 18-53 gives temperature Tf versus the initial temperature TA for a range of possible values of TA, from TA1 = 0 K to TA2= 500 K. The vertical axis scale is set by Tfs = 400 K. What are (a) temperature TB and (b) the ratio cB/cA of the specific heats of the blocks?
Figure 18-53 Problem 74.
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A hot object is dropped into a thermally insulated container of water, and the object and water are then allowed to come to thermal equilibrium. The experiment is repeated twice, with different hot objects. All three objects have the same mass and initial temperature, and the mass and initial temperature of the water are the same in the three experiments. For each of the experiments, Fig. 18-29 gives graphs of the temperatures T of the object and the water versus time t. Rank the graphs according to the specific heats of the objects, greatest first.
..60 GO Figure
Figure
18-46 shows the
cross section of a wall made of three
layers. The layer thicknesses are
L₁, L2=0.700L₁, and L3=0.350L₁.
The thermal conductivities are k₁,
k₂ = 0.900k₁, and k3= 0.800k₁. The
temperatures at the left side and right
side of the wall are TH = 30.0°C and
Tc = -15.0°C, respectively. Ther-
mal conduction is steady. (a) What
is the temperature difference AT₂
across layer 2 (between the left and
right sides of the layer)? If k₂ were,
instead, equal to 1.1k₁, (b) would
the rate at which energy is con-
ducted through the wall be greater
than, less than, or the same as pre-
viously, and (c) what would be the
value of AT₂?
TH
k₁
k₂ kg
Tc
L₁
L2 L3
Figure 18-46 Problem 60.
Air
Ice
Water
A copper bar is welded end to end to a bar of an unknown metal. The two bars have the same lengths and cross-sectional areas. The free end of the copper bar is maintained at a temperature TH that can be varied. The free end of the unknown metal is kept at 0.0∘C. To measure the thermal conductivity of the unknown metal, you measure the temperature T at the junction between the two bars for several values of TH. You plot your data as T versus TH both in kelvins, and find that your data are well fit by a straight line that has slope 0.460.
What do your measurements give for the value of the thermal conductivity of the unknown metal? Use kCu = 385 W/(m⋅K) .
Chapter 18 Solutions
Fundamentals of Physics Extended
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