Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 19, Problem 44P
To determine
Show that for a molecule of
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17 In Fig. 20-25, where V23 =
3.00V1, n moles of a diatomic ideal
gas are taken through the cycle with
the molecules rotating but not oscil-
lating. What are (a) pz/p1- (b) P3/P1,
and (c) T3/T? For path 1 2, what
are (d) W/NRT,, (e) QinRT,
(f) AEm/nRT, and (g) AS/nR? For
path 2→ 3, what are (h) W/nRT,
(i) QinRT,, (j) AEin/NRT1, (k)
AS/nR? For path 3 → 1, what are
(1) W/NRT,, (m) QinRT,, (n)
AEin/nRT1, and (o) AS/nR?
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2.
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Volume
Figure 20-25 Problem 17.
Pressure
i)
In a cylinder 4 moles of Helium gas (M= 4.02 x 103 kg/mole) is at 30 °C temperature.
Calculate for the gas: (R=8.31 J/kg-mole K and KB =1.38 x 10-3 J/K)
(a) the average kinetic energy of a molecule,
(b) the total random kinetic energy of all the molecules, and
(c) the rms speed of a molecule
i)
List any two uses of Kinetic Theory of gases.
In a cylinder 5 moles of Methane gas (M=16.04 x 103 kg/mole) is at
ii)
35 °C
temperature.
Calculate for the gas: (R=8.31 J/kg-mole K and KB =1.38 x 1023 J/K)
(a) the average kinetic energy of a molecule,
(b) the total random kinetic energy of all the molecules, and
(c) the rms speed of a molecule
Chapter 19 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 19.2 - Return to the Chapter-Opening Question, page 496,...Ch. 19.5 - Prob. 1BECh. 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 - 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. 3Q
Ch. 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 - Prob. 11QCh. 19 - Use the conservation of energy to explain why the...Ch. 19 - In an isothermal process, 3700 J of work is done...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 - Is it possible for the temperature of a system to...Ch. 19 - Discuss how the first law of thermodynamics can...Ch. 19 - Explain in words why CP is greater than CV.Ch. 19 - Prob. 20QCh. 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 - Prob. 29QCh. 19 - A 22C day is warm, while a swimming pool at 22C...Ch. 19 - Prob. 32QCh. 19 - Prob. 33QCh. 19 - Prob. 34QCh. 19 - Prob. 35QCh. 19 - An emergency blanket is a thin shiny...Ch. 19 - Explain why cities situated by the ocean tend to...Ch. 19 - (I) To what temperature will 8700 J of heat raise...Ch. 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 - (I) An automobile cooling system holds 18 L of...Ch. 19 - Prob. 8PCh. 19 - (II) (a) How much energy is required to bring a...Ch. 19 - Prob. 10PCh. 19 - Prob. 11PCh. 19 - (II) A hot iron horseshoe (mass = 0.40kg), just...Ch. 19 - (II) A 31.5-g glass thermometer reads 23.6C before...Ch. 19 - Prob. 14PCh. 19 - (II) When a 290-g piece of iron at 180C is placed...Ch. 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 - (I) How much heat is needed to melt 26.50kg of...Ch. 19 - (I) During exercise, a person may give off 180...Ch. 19 - (II) A 35g ice cube at its melting point is...Ch. 19 - (II) High-altitude mountain climbers do not eat...Ch. 19 - (II) An iron boiler of mass 180 kg contains 730kg...Ch. 19 - (II) In a hot days race, a bicyclist consumes 8.0...Ch. 19 - (II) The specific heat of mercury is 138 J/kg C....Ch. 19 - Prob. 25PCh. 19 - (II) A 58-kg ice-skater moving at 7.5 m/s glides...Ch. 19 - (I) Sketch a PV diagram of the following process:...Ch. 19 - (I) A gas is enclosed in a cylinder fitted with a...Ch. 19 - (II) The pressure in an ideal gas is cut in half...Ch. 19 - (II) A 1.0-L volume of air initially at 3.5 atm of...Ch. 19 - (II) Consider the following two-step process. Heat...Ch. 19 - (II) The PV diagram in Fig. 1931 shows two...Ch. 19 - (II) Suppose 2.60 mol of an ideal gas of volume V1...Ch. 19 - (II) In an engine, an almost ideal gas is...Ch. 19 - (II) One and one-half moles of an ideal monatomic...Ch. 19 - (II) Determine (a) the work done and (b) the...Ch. 19 - (II) How much work is done by a pump to slowly...Ch. 19 - (II) When a gas is taken from a to c along the...Ch. 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 - (III) Determine the work done by 1.00 mol of a van...Ch. 19 - (I) What is the internal energy of 4.50 mol of an...Ch. 19 - Prob. 43PCh. 19 - Prob. 44PCh. 19 - Prob. 45PCh. 19 - What gas is it? (II) Show that the work done by n...Ch. 19 - (II) An audience of 1800 fills a concert hall of...Ch. 19 - Prob. 48PCh. 19 - Prob. 49PCh. 19 - (III) A 1.00-mol sample of an ideal diatomic gas...Ch. 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 - (II) An ideal monatomic gas, consisting of 2.8 mol...Ch. 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. 57PCh. 19 - (I) One end of a 45-cm-long copper rod with a...Ch. 19 - (II) How long does it take the Sun to melt a block...Ch. 19 - (II) Heat conduction to skin. Suppose 150 W of...Ch. 19 - (II) A ceramic teapot ( = 0.70) and a shiny one (...Ch. 19 - (II) A copper rod and an aluminum rod of the same...Ch. 19 - Prob. 63PCh. 19 - Prob. 64PCh. 19 - (III) A house thermostat is normally set to 22C,...Ch. 19 - (III) Approximately how long should it take 9.5 kg...Ch. 19 - (III) A cylindrical pipe has inner radius R1 and...Ch. 19 - (III) Suppose the insulating qualities of the wall...Ch. 19 - Prob. 69GPCh. 19 - (a) Find the total power radiated into space by...Ch. 19 - Prob. 71GPCh. 19 - A mountain climber wears a goose-down jacket 3.5...Ch. 19 - Prob. 73GPCh. 19 - Estimate the rate at which heat can he conducted...Ch. 19 - A marathon runner has an average metabolism rate...Ch. 19 - A house has well-insulated walls 19.5 cm thick...Ch. 19 - In a typical game of squash (Fig. 19-36), two...Ch. 19 - A bicycle pump is a cylinder 22 cm long and 3.0 cm...Ch. 19 - Prob. 79GPCh. 19 - The temperature within the Earths crust increases...Ch. 19 - An ice sheet forms on a lake. The air above the...Ch. 19 - An iron meteorite melts when it enters the Earths...Ch. 19 - A scuba diver releases a 3.60-cm-diameter...Ch. 19 - A reciprocating compressor is a device that...Ch. 19 - The temperature of the glass surface of a 75-W...Ch. 19 - Suppose 3.0 mol of neon (an ideal monatomic gas)...Ch. 19 - At very low temperatures, the molar specific heat...Ch. 19 - A diesel engine accomplishes ignition without a...Ch. 19 - When 6.30 105 J of heat is added to a gas...Ch. 19 - In a cold environment, a person can lose heat by...Ch. 19 - Prob. 91GP
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- Two monatomic ideal gases A and B are at the same temperature. If 1.0 g of gas A has the same internal energy as 0.10 g of gas B, what are (a) the ratio of the number of moles of each gas and (b) the ration of the atomic masses of the two gases?arrow_forwardAn ideal gas has a pressure of 0.50 atm and a volume of 10 L. It is compressed adiabatically and quasi-statically until its pressure is 3.0 atm and its volume is 2.8 L. Is the monatomic, diatomic, or polyatomic?arrow_forwardCylinder A contains oxygen (O2) gas, and cylinder B contains nitrogen (N2) gas. If the molecules in the two cylinders have the same rms speeds, which of the following statements is false? (a) The two gases haw different temperatures. (b) The temperature of cylinder B is less than the temperature of cylinder A. (c) The temperature of cylinder B is greater than the temperature of cylinder A. (d) The average kinetic energy of the nitrogen molecules is less than the average kinetic energy of the oxygen molecules.arrow_forward
- A sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig. P17.68). It is warmed at constant volume to 3.00 atm (point B). Then it is allowed to expand isothermally to 1.00 atm (point C) and at last compressed isobarically to its original state. (a) Find the number of moles in the sample. Find (b) the temperature at point B, (c) the temperature at point C, and (d) the volume at point C. (e) Now consider the processes A B, B C, and C A. Describe how to carry out each process experimentally. (f) Find Q, W, and Eint for each of the processes. (g) For the whole cycle A B C A, find Q, W, and Eint. Figure P17.68arrow_forwardA sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig. P21.65). It is warmed at constant volume to 3.00 atm (point B). Then it is allowed to expand isothermally to 1.00 atm (point C) and at last compressed isobarically to its original state, (a) Find the number of moles in the sample. Find (b) the temperature at point B, (c) the temperature at point C, and (d) the volume at point C. (e) Now consider the processes A B, B C, and C A. Describe how to carry out each process experimentally, (f) Find Q, W, and Eint for each of the processes, (g) For the whole cycle A B C A, find Q, W, and Eint.arrow_forwardi) Evaluate rms speed, the average kinetic energy of a molecule and total random kinetic energy of all the molecules in 6 moles of air gas at a temperature of 700 K. (Molar mass of air is 28.97 x 10 ³ mole/kg, and kB = 1.38 x 10 23 J/K)arrow_forward
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