Fundamentals of Physics
10th Edition
ISBN: 9781118230718
Author: David Halliday
Publisher: Wiley, John & Sons, Incorporated
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Chapter 18, Problem 63P
GO Figure 18-49 shows (in cross section) a wall consisting of four layers, with thermal
Figure 18-49 Problem 63.
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The figure shows (in cross section) a wall consisting of four layers, with thermal conductivities k₁ = 0.0645 W/m-K,k3 = 0.0406 W/m.K
and k4 = 0.110 W/m-K (k₂ is unknown). The layer thicknesses are L₁ = 1.77 cm,L3 = 2.75 cm and L4 = 3.68 cm(L2 is unknown). The known
temperatures are T₁ = 30.6 °C, T12 = 26.8 °C and T4 = -14.6 °C. Energy transfer through the wall is steady. What is interface
temperature T34?
Number i
Ti
T127
k₂
T23
1+2+3
-L₂
Units
k₂
-T34
T₁
*63 9 Figure 18-49 shows (in cross section) a wall consisting of
four layers, with thermal conductivities k = 0.060 W/m -K, kz =
0.040 W/m - K, and k4 = 0.12 W/m - K (k, is not known). The layer
thicknesses are L = 1.5 cm, L3 = 2.8 cm, and L4 = 3.5 cm (L2 is
not known). The known temperatures are T1 = 30°C, T12 = 25°C,
and T, = -10°C. Energy transfer through the wall is steady. What
is interface temperature Ty?
T-
T12
Tys
-4-
In a 60 mm diameter cylindrical nuclear
reactor fuel rod ė ü, 1 = 3.929 × 107 W / m3
uniformly distributed There is heat generation
and the temperature distribution in
continuous regime is given by the equation T
= a + br2. Here, A = 650 ° C and b = -3.274
x 105 ° C in T (° C) and r (m) units. The
properties of the rod k = 30 W / m. K, p =
1100 kg / m3 and cp = 800 J/ kg · K: (a)
What is the heat conduction (W 7 m) from the
unit length of the rod at r = 0 (axis) and r =
mm (surface)? (b) Reactor power level
suddenly ė lf ü is increased to 2 = 108 W / m3,
at r = 0 andr=
be What is the change (@T / at) with time?
30 mm the temperature will
Chapter 18 Solutions
Fundamentals of Physics
Ch. 18 - The initial length L, change in temperature T, and...Ch. 18 - Figure 18-24 shows three linear temperature...Ch. 18 - Materials A, B, and C are solids that are at their...Ch. 18 - A sample A of liquid water and a sample B of ice,...Ch. 18 - Question 4 continued: Graphs b through f of Fig....Ch. 18 - Figure 18-26 shows three different arrangements of...Ch. 18 - Figure 18-27 shows two closed cycles on p-V...Ch. 18 - For which cycle in Fig. 18-27, traversed...Ch. 18 - Three different materials of identical mass are...Ch. 18 - A solid cube of edge length r, a solid sphere of...
Ch. 18 - A hot object is dropped into a thermally insulated...Ch. 18 - Suppose the temperature of a gas is 373.15 K when...Ch. 18 - Two constant-volume gas thermometers are...Ch. 18 - A gas thermometer is constructed of two...Ch. 18 - a In 1964, the temperature in the Siberian village...Ch. 18 - At what temperature is the Fahrenheit scale...Ch. 18 - On a linear X temperature scale, water freezes at...Ch. 18 - ILW Suppose that on a linear temperature scale X,...Ch. 18 - At 20C, a brass cube has edge length 30 cm. What...Ch. 18 - ILW A circular hole in an aluminum plate is 2.725...Ch. 18 - An aluminum flagpole is 33 m high. By how much...Ch. 18 - Prob. 11PCh. 18 - An aluminum-alloy rod has a length of 10.000 cm at...Ch. 18 - SSM Find the change in volume of an aluminum...Ch. 18 - When the temperature of a copper coin is raised by...Ch. 18 - ILW A steel rod is 3.000 cm in diameter at 25.00C....Ch. 18 - When the temperature of a metal cylinder is raised...Ch. 18 - SSM WWW An aluminum cup of 100 cm3 capacity is...Ch. 18 - At 20C, a rod is exactly 20.05 cm long on a steel...Ch. 18 - GO A vertical glass tube of length L = 1.280 000 m...Ch. 18 - GO In a certain experiment, a small radioactive...Ch. 18 - SSM ILW As a result of a temperature rise of 32 C,...Ch. 18 - One way to keep the contents of a garage from...Ch. 18 - SSM A small electric immersion healer is used to...Ch. 18 - A certain substance has a mass per mole of 50.0...Ch. 18 - Prob. 25PCh. 18 - What muss of butter, which has a usable energy...Ch. 18 - SSM Calculate the minimum amount of energy, in...Ch. 18 - How much water remains unfrozen after 50.2 kJ is...Ch. 18 - In a solar water heater, energy from the Sun is...Ch. 18 - A 0.400 kg simple is placed in a cooling apparatus...Ch. 18 - ILW What mass of steam at 100C must be mixed with...Ch. 18 - The specific heat of a substance varies with...Ch. 18 - Nonmetric version: a How long does a 2.0 105...Ch. 18 - GO Samples A and B are at different initial...Ch. 18 - An insulated Thermos contains l30 cm3 of hot...Ch. 18 - A 150 g copper bowl contains 220 g of water, both...Ch. 18 - A person makes a quantity of iced tea by mixing...Ch. 18 - A 0.530 kg sample of liquid water and a sample of...Ch. 18 - GO Ethyl alcohol has a boiling point of 78.0C, a...Ch. 18 - GO Calculate the specific heat of a metal from the...Ch. 18 - SSM WWW a Two 50 g ice cubes are dropped into 200...Ch. 18 - GO A 20.0 g copper ring at 0.000C has an inner...Ch. 18 - In Fig. 18-37, a gas sample expands from V0 to...Ch. 18 - GO A thermodynamic system is taken from stale A to...Ch. 18 - SSM ILW A gas within a closed chamber undergoes...Ch. 18 - Suppose 200 J of work is done on a system and 70.0...Ch. 18 - Prob. 47PCh. 18 - GO As a gas is held within a closed chamber, it...Ch. 18 - GO Figure 18-42 represents a closed cycle for a...Ch. 18 - GO A lab sample of gas is taken through cycle abca...Ch. 18 - A sphere of radius 0.500 m, temperature 27.0C, and...Ch. 18 - The ceiling of a single-family dwelling in a cold...Ch. 18 - SSM Consider the slab shown in Fig. 18-18. Suppose...Ch. 18 - If you were to walk briefly in space without a...Ch. 18 - ILW A cylindrical copper rod of length 1.2 m and...Ch. 18 - The giant hornet Vespa mandarinia japonica preys...Ch. 18 - Prob. 57PCh. 18 - A solid cylinder of radius r1 = 2.5 cm, length h1...Ch. 18 - Prob. 59PCh. 18 - GO Figure 18-46 shows the cross section of a wall...Ch. 18 - SSM A 5.0 cm slap has formed on an outdoor tank of...Ch. 18 - Leidenfrost effect. A water drop will last about 1...Ch. 18 - GO Figure 18-49 shows in cross section a wall...Ch. 18 - Prob. 64PCh. 18 - Ice has formed on a shallow pond, and a shady...Ch. 18 - GO Evaporative cooling of beverages. A cold...Ch. 18 - In the extrusion of cold chocolate from a tube,...Ch. 18 - Prob. 68PCh. 18 - Figure 18-51 displays a closed cycle for a gas....Ch. 18 - In a certain solar house, energy from the Sun is...Ch. 18 - A 0.300 kg sample is placed in a cooling apparatus...Ch. 18 - The average rate at which energy is conducted...Ch. 18 - What is the volume increase of an aluminum cube...Ch. 18 - In a series of experiment, block B is to be placed...Ch. 18 - Figure 18-54 displays a dosed cycle for a gas....Ch. 18 - Three equal-length straight rods, of aluminum,...Ch. 18 - SSM The temperature of a 0.700 kg cube of ice is...Ch. 18 - GO Icicles. Liquid water coats an active growing...Ch. 18 - SSM A sample of gas expands from an initial...Ch. 18 - Figure 18-56a shows a cylinder containing gas and...Ch. 18 - SSM A sample of gas undergoes a transition from an...Ch. 18 - Prob. 82PCh. 18 - SSM The temperature of a Pyrex disk is changed...Ch. 18 - a Calculate the rate at which body heat is...Ch. 18 - SSM A 2.50 kg Jump of aluminum is heated to 92.0C...Ch. 18 - A glass window pane is exactly 20 cm by 30 cm at...Ch. 18 - A recruit can join the semi-secret 300 F club at...Ch. 18 - A steel rod at 25.0C is bolted at both ends and...Ch. 18 - An athlete needs to lose weight and decides to do...Ch. 18 - Soon after Earth was formed, heat released by the...Ch. 18 - Prob. 91PCh. 18 - A rectangular plate of glass initially has the...Ch. 18 - Suppose that you intercept 5.0 103 of the energy...Ch. 18 - A thermometer of mass 0.0550 kg and of specific...Ch. 18 - A sample of gas expands from V1 = 1.0 m3 and p1 =...Ch. 18 - Figure 18-59 shows a composite bar of length L =...Ch. 18 - On finding your stove out of order, you decide to...Ch. 18 - The p-V diagram in the Fig. 18-60 shows two paths...Ch. 18 - A cube of edge length 6.0 106 m, emissivity 0.75,...Ch. 18 - A flow calorimeter is a device used to measure the...Ch. 18 - An object of mass 6.00 kg falls through a height...Ch. 18 - The Pyrex glass mirror in a telescope has a...Ch. 18 - The area A of a rectangular plate is ab = 1.4 m2....Ch. 18 - Consider the liquid in a barometer whose...Ch. 18 - A pendulum clock with a pendulum made of brass is...Ch. 18 - Prob. 106PCh. 18 - Prob. 107PCh. 18 - A 1700 kg Buick moving at 83 km/h brakes to a...
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