Fundamentals of Physics, Volume 1, Chapter 1-20
Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 18, Problem 90P

Soon after Earth was formed, heat released by the decay of radioactive elements raised the average internal temperature from 300 to 3000 K, at about which value it remains today. Assuming an average coefficient of volume expansion of 3.0 × 10−5 K−1, by how much has the radius of Earth increased since the planet was formed?

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Consider a planet where Solar onstant  = 1360 W /m2 and albedo=0.30. If the planet has a water vapor feedback so that the number of layers n is a function of surface temperature nT = (T – 254.5)/100, what is the equilibrium surface temperature?
Soon after Earth was formed, heat released by the decay of radioactive elements raised the average internal temperature from 300 to 3000 K, at about which value it remains today. Assuming an average coefficient of volume expansion of 3.0 * 10-5 K-1, by how much has the radius of Earth increased since the planet was formed?
The figure shows, not to scale, a cross section through the interior of Earth. Rather than being uniform throughout, Earth is divided into three zones: an outer crust, a mantle, and an inner core. The dimensions of these zones and the masses contained within them are shown on the figure. Earth has a total mass of 5.98 x 1024 kg and a radius of 6370 km. Ignore rotation and assume that Earth is spherical. (a) Calculate ag at the surface. (b) Suppose that a bore hole (the Mohole) is driven to the crust-mantle interface at a depth of 25.0 km; what would be the value of ag at the bottom of the hole? (c) Suppose that Earth were a uniform sphere with the same total mass and size. What would be the value of ag at a depth of 25.0 km? (Precise measurements of ag are sensitive probes of the interior structure of Earth, although results can be clouded by local variations in mass distribution.) 6345 km (a) Number (b) Number 25 km Number i 3490 km -Core, 1.93 x 1024 kg Mantle, 4.01 × 1024 kg Crust,…

Chapter 18 Solutions

Fundamentals of Physics, Volume 1, Chapter 1-20

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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