Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137488179
Author: Douglas Giancoli
Publisher: PEARSON+
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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.
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A walrus transfers energy by conduction through its blubber at the rate of 150 W when immersed in −1.00 °C water. The walrus’s internal core temperature is 37.0 °C , and it has a surface area of 2.00 m2 . What is the average thickness of its blubber, which has the conductivity of fatty tissues without blood?
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thick? Assume that the conductivity of Styrofoam is double that of air and that the outside temperature is 34 °C.
Express your answer to two significant figures and include the appropriate units.
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Chapter 19 Solutions
Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
Ch. 19.2 - Return to the Chapter-Opening Question, page 496,...Ch. 19.5 - Prob. 1BECh. 19.5 - Prob. 1CECh. 19.5 - How much more ice at 10C would be needed in...Ch. 19.6 - What would be the internal energy change in...Ch. 19.7 - Is the work done by the gas in process ADB of Fig....Ch. 19.7 - In Example 1910, if the heat lost from the gas in...Ch. 19.10 - Prob. 1HECh. 19.10 - Fanning yourself on a hot day cools you by (a)...Ch. 19 - What happens to the work done on a jar of orange...
Ch. 19 - Prob. 2QCh. 19 - Prob. 3QCh. 19 - Prob. 4QCh. 19 - Prob. 5QCh. 19 - Why does water in a canteen stay cooler if the...Ch. 19 - Explain why burns caused by steam at 100C on the...Ch. 19 - Prob. 8QCh. 19 - Will potatoes cook faster if the water is boiling...Ch. 19 - Prob. 10QCh. 19 - Use the conservation of energy to explain why the...Ch. 19 - Explorers on failed Arctic expeditions have...Ch. 19 - Why is wet sand at the beach cooler to walk on...Ch. 19 - When hot-air furnaces are used to heat a house,...Ch. 19 - Prob. 15QCh. 19 - An ideal monatomic gas is allowed to expand slowly...Ch. 19 - Ceiling fans are sometimes reversible, so that...Ch. 19 - Goose down sleeping bags and parkas are often...Ch. 19 - Microprocessor chips nowadays have a heat sink...Ch. 19 - Sea breezes are often encountered on sunny days at...Ch. 19 - The Earth cools off at night much more quickly...Ch. 19 - Explain why air-temperature readings are always...Ch. 19 - A premature baby in an incubator can be...Ch. 19 - A 22C day is warm, while a swimming pool at 22C...Ch. 19 - Prob. 25QCh. 19 - Prob. 26QCh. 19 - Prob. 27QCh. 19 - Prob. 28QCh. 19 - Prob. 29QCh. 19 - Prob. 30QCh. 19 - Prob. 31QCh. 19 - Prob. 32QCh. 19 - An emergency blanket is a thin shiny...Ch. 19 - Explain why cities situated by the ocean tend to...Ch. 19 - Prob. 1MCQCh. 19 - Prob. 2MCQCh. 19 - Prob. 3MCQCh. 19 - Prob. 4MCQCh. 19 - Prob. 5MCQCh. 19 - Prob. 6MCQCh. 19 - Prob. 7MCQCh. 19 - Prob. 8MCQCh. 19 - Prob. 9MCQCh. 19 - Prob. 10MCQCh. 19 - Prob. 11MCQCh. 19 - Prob. 12MCQCh. 19 - Prob. 13MCQCh. 19 - Prob. 1PCh. 19 - Prob. 2PCh. 19 - Prob. 3PCh. 19 - (II) A British thermal unit (Btu) is a unit of...Ch. 19 - Prob. 5PCh. 19 - Prob. 6PCh. 19 - Prob. 7PCh. 19 - (I) An automobile cooling system holds 18 L of...Ch. 19 - Prob. 9PCh. 19 - Prob. 10PCh. 19 - Prob. 11PCh. 19 - (II) When a 290-g piece of iron at 180C is placed...Ch. 19 - Prob. 13PCh. 19 - Prob. 14PCh. 19 - Prob. 15PCh. 19 - (II) The heat capacity. C, of an object is defined...Ch. 19 - (II) The 1.20-kg head of a hammer has a speed of...Ch. 19 - Prob. 18PCh. 19 - Prob. 19PCh. 19 - Prob. 20PCh. 19 - Prob. 21PCh. 19 - Prob. 22PCh. 19 - Prob. 23PCh. 19 - Prob. 24PCh. 19 - (II) High-altitude mountain climbers do not eat...Ch. 19 - Prob. 26PCh. 19 - Prob. 27PCh. 19 - Prob. 28PCh. 19 - Prob. 29PCh. 19 - Prob. 30PCh. 19 - Prob. 31PCh. 19 - Prob. 32PCh. 19 - Prob. 33PCh. 19 - Prob. 34PCh. 19 - Prob. 35PCh. 19 - Prob. 36PCh. 19 - Prob. 37PCh. 19 - Prob. 38PCh. 19 - (II) Consider the following two-step process. Heat...Ch. 19 - Prob. 40PCh. 19 - Prob. 41PCh. 19 - Prob. 42PCh. 19 - Prob. 43PCh. 19 - Prob. 44PCh. 19 - (III) Determine the work done by 1.00 mol of a van...Ch. 19 - Prob. 46PCh. 19 - (III) In the process of taking a gas from state a...Ch. 19 - (III) Suppose a gas is taken clockwise around the...Ch. 19 - Prob. 49PCh. 19 - Prob. 50PCh. 19 - Prob. 51PCh. 19 - Prob. 52PCh. 19 - What gas is it? (II) Show that the work done by n...Ch. 19 - Prob. 54PCh. 19 - Prob. 55PCh. 19 - Prob. 56PCh. 19 - (I) A 1.00-mol sample of an ideal diatomic gas,...Ch. 19 - (II) Show, using Eqs. 196 and 1915, that the work...Ch. 19 - (III) A 3.65-mol sample of an ideal diatomic gas...Ch. 19 - Prob. 61PCh. 19 - (III) A 1.00-mol sample of an ideal monatomic gas,...Ch. 19 - (III) Consider a parcel of air moving to a...Ch. 19 - Prob. 64PCh. 19 - Prob. 65PCh. 19 - Prob. 66PCh. 19 - Prob. 67PCh. 19 - Prob. 68PCh. 19 - Prob. 69PCh. 19 - Prob. 70PCh. 19 - Prob. 71PCh. 19 - (III) A cylindrical pipe has inner radius R1 and...Ch. 19 - Prob. 73PCh. 19 - Prob. 74GPCh. 19 - Prob. 75GPCh. 19 - Prob. 76GPCh. 19 - Prob. 77GPCh. 19 - Prob. 78GPCh. 19 - Prob. 79GPCh. 19 - Prob. 80GPCh. 19 - Prob. 81GPCh. 19 - Prob. 82GPCh. 19 - Prob. 83GPCh. 19 - Prob. 84GPCh. 19 - Prob. 85GPCh. 19 - Prob. 86GPCh. 19 - Prob. 87GPCh. 19 - The temperature of the glass surface of a 75-W...Ch. 19 - Prob. 90GPCh. 19 - A scuba diver releases a 3.60-cm-diameter...Ch. 19 - Suppose 3.0 mol of neon (an ideal monatomic gas)...Ch. 19 - Prob. 93GPCh. 19 - A diesel engine accomplishes ignition without a...Ch. 19 - Prob. 95GPCh. 19 - Prob. 96GPCh. 19 - Prob. 97GPCh. 19 - Prob. 98GPCh. 19 - Prob. 99GPCh. 19 - Prob. 100GPCh. 19 - Prob. 101GPCh. 19 - Prob. 102GPCh. 19 - Prob. 103GPCh. 19 - Prob. 104GP
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- 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 300 K. (a) If one-half 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 W/m K at 4.20 K; ignore its temperature variation. The density of liquid helium is 125 kg/m3.)arrow_forward(a) The inside of a hollow cylinder is maintained at a temperature Ta, and the outside is at a lower temperature, Tb (Fig. P19.45). The wall of the cylinder has a thermal conductivity k. Ignoring end effects, show that the rate of energy conduction from the inner surface to the outer surface in the radial direction is dQdt=2Lk[TaTbln(b/a)] Suggestions: The temperature gradient is dT/dr. A radial energy current passes through a concentric cylinder of area 2rL. (b) The passenger section of a jet airliner is in the shape of a cylindrical tube with a length of 35.0 m and an inner radius of 2.50 m. Its walls are lined with an insulating material 6.00 cm in thickness and having a thermal conductivity of 4.00 105 cal/s cm C. A heater must maintain the interior temperature at 25.0C while the outside temperature is 35.0C. What power must be supplied to the heater? Figure P19.45arrow_forwardBeryllium has roughly one-half the specific heat of water (H2O). Rank the quantities of energy input required to produce the following changes from the largest to the smallest. In your ranking, note any cases of equality, (a) raising the temperature of 1 kg of H2O from 20C to 26C (b) raising the temperature of 2 kg of H2O from 20C to 23C (c) raising the temperature of 2 kg of H2O from 1C to 4C (d) raising the temperature of 2 kg of beryllium from 1C to 2C (e) raising the temperature of 2 kg of H2O from -1C to 2Carrow_forward
- A 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_forwardA hollow aluminum cylinder 20.0 cm deep has an internal capacity of 2.000 L at 20.0C. It is completely filled with turpentine at 20.0C. The turpentine and the aluminum cylinder are then slowly warmed together to 80.0C. (a) How much turpentine overflows? (b) What is the volume of the turpentine remaining in the cylinder at 80.0C? (c) If the combination with this amount of turpentine is then cooled back to 20.0C, how far below the cylinders rim does the turpentines surface recede?arrow_forwardAn aluminum wire is wrapped in rubber insulation. Both are subject to thermal expansion, with the following coefficients of linear expansion: alphaa=24· 10−6 1/C and alphar=8· 10−5 1/C . If the wire and insulation are the same length of 1.85m at a temperature of20.00°C, what is the difference in length (in MILLIMETERS) between the copper wire and the rubber insulation when heated up to a temperature of 189.00°C? Express a magnitude only (no negatives!). ______mm (MILLIMETERS!)arrow_forward
- A beaker of negligible heat capacity contains 456 g of ice at -25.0°C. A lab technician begins to supply heat to the container at the rate of 1000 J/min. How long after starting will the ice begin to melt, assuming all of the ice has the same temperature? The specific heat of ice is 2090 J/kg ∙ K and the latent heat of fusion of water is 33.5 × 104 J/kg. Express your answer in minutes.arrow_forwardA wooden ice box has a total area of 1.50 m2 amd walls with an average thickness of 2.0 cm. The box contains ice at 0.0 oC. The inside of the box is kept cold by melting ice. How much ice melts in one day if the ice box is kept in the shade of tree at 29 oC. (Assume the thermal conductivity of wood is 0.16 kJ/s m oC)arrow_forwardA styrofoam cooler (k = 0.030 W/(m-°C) has outside dimensions of 0.170 m x 0.250 m x 0.260 m, and an average thickness of 2.0 cm. How long will it take for 1.10 kg of ice at -5.0°C to melt (to water at 0°C) in the cooler if the outside temperature is 34.0°C? Assume that ice temperature increases linearly from -5.0°C to 0°C. Neglect any temperature change of the air in the cooler. Data: Specific heat of ice is 2050 J/(kg-K). Laten heat of fusion of water is 3.34×105 J/kg.arrow_forward
- (a) What is the rate of heat conduction through the 3.00-cm-thick fur of a large animal having a 1.40−m2 surface area? Assume that the animal’s skin temperature is 32.0ºC, that the air temperature is −5.00ºC, and that fur has the same thermal conductivity as air. (b) What food intake will the animal need in one day to replace this heat transfer?arrow_forwardA styrofoam cooler (k = 0.030 W/(m. °C) has outside dimensions of 0.130 m × 0.270 m x 0.280 m, and an average thickness of 2.0 cm. How long will it take for 4.60 kg of ice at -5.0°C to melt (to water at 0°C) in the cooler if the outside temperature is 30.0°C? Assume that ice temperature increases linearly from -5.0°C to 0°C. Neglect any temperature change of the air in the cooler. Data: Specific heat of ice is 2050 J/(kg⋅K). Latent heat of fusion of water is 3.34×105 J/kg.arrow_forwardA brass rod of length 50 cm and diameter 3.0 mm is joined to a steel rod of the same length and diameter. What is the change in length of the combined rod at 250 °C, if the original lengths are at 40.0 °C? Is there a ‘thermal stress’ developed at the junction ? The ends of the rod are free to expand (Co-efficient of linear expansion of brass = 2.0×10-5 K-1 steel =1.2×10-5 K-1arrow_forward
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