EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 17, Problem 52P
(III) Compare the value for the density of water vapor at exactly 100°C and 1 atm (Table 13–1) with the value predicted from the ideal
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29) At pressures below about 20 atm, some gas mixtures obey the following equation of state,
--—a_p-b_p², where a„ = Σya, and √√5 = ₁√₁. The molar volume of a mixture is
i-1
=Ży,f(p.T.y.).
V =
RT
P
i-1
given by an expression of the form V =
a) Derive the function f(p,T,y).
(II) Compare the value for the density of water vapor atexactly 100°C and 1 atm with the value predictedfrom the ideal gas law. Why would you expect a difference?
(a) An ideal gas occupies a volume of 1.0 cm3 at 20°C and atmospheric pressure. Determine the number of molecules of gas in the container. (b) If the pressure of the 1.0-cm
Chapter 17 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 17.2 - Prob. 1AECh. 17.4 - Prob. 1BECh. 17.5 - How much space would you allow between the...Ch. 17.7 - CHAPTER-OPENING QUESTIONGuess now! A hot-air...Ch. 17.7 - An ideal gas is contained in a steel sphere at...Ch. 17.8 - What is the volume of 1.00 mol of ideal gas at 546...Ch. 17.8 - At 20C, would there be (a) more, (b) less, or (c)...Ch. 17 - Prob. 1QCh. 17 - Name several properties of materials that could be...Ch. 17 - Which is larger, 1 C or 1 F?
Ch. 17 - If system A is in equilibrium with system B, but B...Ch. 17 - Suppose system C is not in equilibrium with system...Ch. 17 - In the relation = 0 T, should 0 be the initial...Ch. 17 - A flat bimetallic strip consists of a strip of...Ch. 17 - Long steam pipes that are fixed at the ends often...Ch. 17 - Prob. 9QCh. 17 - Prob. 10QCh. 17 - Prob. 11QCh. 17 - Prob. 12QCh. 17 - The units for the coefficients of expansion are...Ch. 17 - Prob. 14QCh. 17 - The principal virtue of Pyrex glass is that its...Ch. 17 - Prob. 16QCh. 17 - Freezing a can of soda will cause its bottom and...Ch. 17 - Why might you expect an alcohol-in-glass...Ch. 17 - Prob. 19QCh. 17 - Prob. 20QCh. 17 - From a practical point of view, does it really...Ch. 17 - Prob. 1MCQCh. 17 - Prob. 2MCQCh. 17 - Prob. 3MCQCh. 17 - Prob. 4MCQCh. 17 - Prob. 5MCQCh. 17 - Prob. 6MCQCh. 17 - Prob. 7MCQCh. 17 - Prob. 8MCQCh. 17 - Prob. 9MCQCh. 17 - Prob. 10MCQCh. 17 - Prob. 11MCQCh. 17 - Prob. 12MCQCh. 17 - Prob. 1PCh. 17 - Prob. 2PCh. 17 - (a) Room temperature is often taken to be 68F....Ch. 17 - Among the highest and lowest natural air...Ch. 17 - Prob. 5PCh. 17 - Prob. 6PCh. 17 - Prob. 7PCh. 17 - Prob. 8PCh. 17 - The Eiffel Tower (Fig. 1719) is built of wrought...Ch. 17 - Prob. 10PCh. 17 - Prob. 11PCh. 17 - Prob. 12PCh. 17 - Prob. 13PCh. 17 - At a given latitude, ocean water in the so-called...Ch. 17 - Prob. 15PCh. 17 - Prob. 16PCh. 17 - Prob. 17PCh. 17 - Prob. 18PCh. 17 - (II) It is observed that 55.50 mL of water at 20C...Ch. 17 - Prob. 20PCh. 17 - (II) If a fluid is contained in a long narrow...Ch. 17 - Prob. 22PCh. 17 - (II) Wine bottles are never completely filled: a...Ch. 17 - Prob. 24PCh. 17 - Prob. 25PCh. 17 - Prob. 26PCh. 17 - Prob. 27PCh. 17 - Prob. 28PCh. 17 - (III) A barrel of diameter 134.122 cm at 20C is to...Ch. 17 - Prob. 30PCh. 17 - (I) Absolute zero is what temperature on the...Ch. 17 - Prob. 32PCh. 17 - Prob. 33PCh. 17 - Prob. 34PCh. 17 - Prob. 35PCh. 17 - Prob. 36PCh. 17 - Prob. 37PCh. 17 - Prob. 38PCh. 17 - Prob. 39PCh. 17 - Prob. 40PCh. 17 - Prob. 41PCh. 17 - Prob. 42PCh. 17 - Prob. 43PCh. 17 - Prob. 44PCh. 17 - Prob. 45PCh. 17 - Prob. 46PCh. 17 - Prob. 47PCh. 17 - Prob. 48PCh. 17 - Prob. 49PCh. 17 - (II) You buy an airtight bag of potato chips...Ch. 17 - (II) A typical scuba tank, when fully charged,...Ch. 17 - (III) Compare the value for the density of water...Ch. 17 - Prob. 53PCh. 17 - Prob. 54PCh. 17 - Prob. 55PCh. 17 - Prob. 56PCh. 17 - Prob. 57PCh. 17 - Prob. 58PCh. 17 - (II) What is the pressure in a region of outer...Ch. 17 - Prob. 60PCh. 17 - Prob. 61PCh. 17 - Prob. 62PCh. 17 - Prob. 63PCh. 17 - Prob. 64PCh. 17 - Prob. 65PCh. 17 - Prob. 66GPCh. 17 - Prob. 67GPCh. 17 - Prob. 68GPCh. 17 - Prob. 69GPCh. 17 - If a rod of original length 1 has its temperature...Ch. 17 - Prob. 71GPCh. 17 - Prob. 72GPCh. 17 - Prob. 73GPCh. 17 - Prob. 74GPCh. 17 - Prob. 75GPCh. 17 - Assume that in an alternate universe, the laws of...Ch. 17 - An iron cube floats in a bowl of liquid mercury at...Ch. 17 - Prob. 78GPCh. 17 - Prob. 79GPCh. 17 - From the known value of atmospheric pressure at...Ch. 17 - Prob. 81GPCh. 17 - Prob. 82GPCh. 17 - Prob. 83GPCh. 17 - Prob. 84GPCh. 17 - Prob. 85GPCh. 17 - Prob. 86GPCh. 17 - Prob. 87GPCh. 17 - A helium balloon has volume V0 and temperature T0...Ch. 17 - Prob. 89GPCh. 17 - Prob. 90GPCh. 17 - Prob. 91GPCh. 17 - Prob. 92GPCh. 17 - (III) You have a vial of an unknown liquid which...Ch. 17 - Prob. 94GPCh. 17 - Prob. 95GPCh. 17 - Prob. 96GPCh. 17 - Snorkelers breathe through short tubular snorkels...
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- Two cylinders A and B at the same temperature contain the same quantity of the same kind of gas. Cylinder A has three times the volume of cylinder B. What can you conclude about the pressures the gases exert? (a) We can conclude nothing about the pressures. (b) The pressure in A is three times the pressure in B. (c) The pressures must be equal. (d) The pressure in A must be one-third the pressure in B.arrow_forwardFrom the MaxwellBoltzmann speed distribution, show that the most probable speed of a gas molecule is given by Equation 16.23. Note: The most probable speed corresponds to the point at which the slope of the speed distribution curve dNv/dv is zero.arrow_forwardUsing the approximation v1v1+v f(v)dvf(v1)v for small v , estimate the fraction of nitrogen molecules at a temperature of 3.00102 K that have speeds between 290 m/s and 291 m/s.arrow_forward
- Under what circumstances would you expect a gas to behave significantly differently than predicted by the ideal gas law?arrow_forwardA 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_forwardTwo 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_forward
- The excess internal energy of metabolism is exhausted through a variety of channels, such as through radiation and evaporation of perspiration. Consider another pathway for energy loss: moisture in exhaled breath. Suppose you breathe out 22.0 breaths per minute, each with a volume of 0.600 L. Suppose also that you inhale dry air and exhale air at 37C containing water vapor with a vapor pressure of 3.20 kPa. The vapor comes from the evaporation of liquid water in your body. Model the water vapor as an ideal gas. Assume its latent heat of evaporation at 37C is the same as its heat of vaporization at 100.C. Calculate the rate at which you lose energy by exhaling humid air.arrow_forwardUnder what circumstances would you expect a gas to behave significantly differently than predicted by the ideal gas law?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_forward
- Two moles of a monatomic ideal gas at (5 MPa, 5 L) is expanded isothermally until the volume is doubled (step 1). Then it is cooled isochorically until the pressure is 1 MPa (step 2). The temperature drops in this process. The gas is now compressed isothermally until its volume is back to 5 L, but its pressure is now 2 MPa (step 3). Finally, the gas is heated isochorically to return to the initial state (step 4). (a) Draw the four pi-cresses in the pV plane. (b) Find the total work done by the gas.arrow_forwardConsider the Maxwell-Boltzmann distribution function plotted in Problem 28. For those parameters, determine the rms velocity and the most probable speed, as well as the values of f(v) for each of these values. Compare these values with the graph in Problem 28. 28. Plot the Maxwell-Boltzmann distribution function for a gas composed of nitrogen molecules (N2) at a temperature of 295 K. Identify the points on the curve that have a value of half the maximum value. Estimate these speeds, which represent the range of speeds most of the molecules are likely to have. The mass of a nitrogen molecule is 4.68 1026 kg. Equation 20.18 can be used to find the rms velocity given the temperature, Boltzmanns constant, and the mass of the atom or molecule. The mass of a nitrogen molecule is 4.68 1026 kg. vrms=3kBTm=3(1.381023J/K)4.681026kg=511m/s Using the results of Problem 28 and the rms velocity, we can calculate the value of f(v). f(vrms) = (3.11 108)(511)2 e(5.75106(511)2) = 0.00181 The most probable speed, for which this function has its maximum value, is given by Equation 20.20. vmp=2kBTm=2(1.381023J/K)(295K)4.681026kg=417m/s f(vmp) = (3.11108)(417)2 e(5.75106(417)2) = 0.00199 We plot these points on the speed distribution. The most probable speed is indeed at the peak of the distribution function. Since the function is not symmetric, the rms velocity is somewhat higher than the most probable speed. Figure P20.29ANSarrow_forwardWhat is the total translational kinetic energy of the air molecules in a room of volume 23 m3 if the pressure is 9.5104 Pa (the room is at fairly high elevation) and die temperature is 21 ? Is any item of data unnecessary for the solution?arrow_forward
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