Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 18, Problem 36AP
(a)
To determine
To show: The coefficient of volume expansion for the ideal gas at constant pressure is given by
(b)
To determine
The value of the β
0 ° C
(c)
To determine
To compare: The result with the experimental value for helium in the table 18.1.
(d)
To determine
To compare: The result with the experimental value for air in the table 18.1.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Compute the density in units of of an ideal gas under the following conditions:
a) At and Torr pressure (1 Torr = 1mm Hg) this is called loschmidt number.
b) In a vacuum of Torr at room temperature . This number is useful one for the experimentalist to know by heart. (10^-3 Torr = 1 micron)
The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of an ideal gas
are related by the equation PV = 8.317. Find the rate at which the volume is changing when the
temperature is 325 K and increasing at a rate of 0.05 K/s and the pressure is 29 and increasing at a rate of
0.07 kPa/s.
Please show your answers to at least 4 decimal places.
dV
dt
L/s
The pressure, volume, and temperature of a mole of an ideal gas are related by the equation
PV = 8.31T,
where P is measured in kilopascals, V in liters, and T in kelvins. Use differentials to find the approximate change in the pressure (in kPa) if the volume increases from 14 L to 14.3 L and the temperature decreases from 325 K to 320 K. (Note whether the change is positive or negative in your answer. Round your answer to two decimal places.)
Chapter 18 Solutions
Physics for Scientists and Engineers
Ch. 18.1 - Prob. 18.1QQCh. 18.3 - Consider the following pairs of materials. Which...Ch. 18.4 - If you are asked to make a very sensitive glass...Ch. 18.4 - Two spheres are made of the same metal and have...Ch. 18.5 - A common material for cushioning objects in...Ch. 18.5 - On a winter day, you turn on your furnace and the...Ch. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Prob. 3PCh. 18 - Liquid nitrogen has a boiling point of 195.81C at...
Ch. 18 - Death Valley holds the record for the highest...Ch. 18 - Prob. 6PCh. 18 - A copper telephone wire has essentially no sag...Ch. 18 - A pair of eyeglass frames is made of epoxy...Ch. 18 - The Trans-Alaska pipeline is 1 300 km long,...Ch. 18 - A square hole 8.00 cm along each side is cut in a...Ch. 18 - You are watching a new bridge being built near...Ch. 18 - You are watching a new bridge being built near...Ch. 18 - At 20.0C, an aluminum ring has an inner diameter...Ch. 18 - Why is the following situation impossible? A thin...Ch. 18 - A volumetric flask made of Pyrex is calibrated at...Ch. 18 - Review. On a day that the temperature is 20.0C, a...Ch. 18 - Review. The Golden Gate Bridge in San Francisco...Ch. 18 - Your father and your younger brother are...Ch. 18 - An auditorium has dimensions 10.0 m 20.0 m 30.0...Ch. 18 - A container in the shape of a cube 10.0 cm on each...Ch. 18 - Prob. 21PCh. 18 - Prob. 22PCh. 18 - In state-of-the-art vacuum systems, pressures as...Ch. 18 - You have scored a great internship with NASA,...Ch. 18 - Review. The mass of a hot-air balloon and its...Ch. 18 - A room of volume V contains air having equivalent...Ch. 18 - Prob. 27PCh. 18 - You are applying for a position with a sea rescue...Ch. 18 - The pressure gauge on a cylinder of gas registers...Ch. 18 - A steel beam being used in the construction of a...Ch. 18 - Two metal bars are made of invar and a third bar...Ch. 18 - Why is the following situation impossible? An...Ch. 18 - A student measures the length of a brass rod with...Ch. 18 - The density of gasoline is 730 kg/m3 at 0C. Its...Ch. 18 - A liquid has a density . (a) Show that the...Ch. 18 - Prob. 36APCh. 18 - The rectangular plate shown in Figure P18.37 has...Ch. 18 - A bimetallic strip of length L is made of two...Ch. 18 - Prob. 39APCh. 18 - A vertical cylinder of cross-sectional area A is...Ch. 18 - Review. Consider an object with any one of the...Ch. 18 - Prob. 42APCh. 18 - Starting with Equation 18.11, show that the total...Ch. 18 - Review. A house roof is a perfectly flat plane...Ch. 18 - A 1.00-km steel railroad rail is fastened securely...Ch. 18 - Prob. 46CP
Knowledge Booster
Similar questions
- One process for decaffeinating coffee uses carbon dioxide ( M=44.0 g/mol) at a molar density of about 14,0 mol/m3 and a temperature of about 60 . (a) Is CO2 a solid, liquid, gas, or supercritical fluid under those conditions? (b) The van der Waals constants for carbon dioxide are a=0.3658 Pa m6/mol2 and b=4.286105 m3/mol. Using the van der Waals equation, estimate pressure of CO2 at that temperature and density. `arrow_forwardUsing a numerical integration method such as Simpson's rule, find the fraction of molecules in a sample of oxygen gas at a temperature of 250 K that have speeds between 100 m/s and 150 m/s. The molar mass of oxygen (O2) is 32.0 g/mol. A precision to two significant digits is enough.arrow_forwardOn a hot summer day, the density of air at atmospheric pressure at 35.0C is 1.1455 kg/m3. a. What is the number of moles contained in 1.00 m3 of an ideal gas at this temperature and pressure? b. Avogadros number of air molecules has a mass of 2.85 102 kg. What is the mass of 1.00 m3 of air? c. Does the value calculated in part (b) agree with the stated density of air at this temperature?arrow_forward
- Assuming the human body is primarily made of water, estimate the number of molecules in it. (Note that water has a molecular mass of 18 g/mol and there are roughly 1024 atoms in a mole)arrow_forwardTwo containers of equal volume each hold samples of the same ideal gas. Container A has 3 times as many molecules as container B. If the gas pressure is the same in the two containers, find the ratio of the the absolute temperatures TA and TB ( i.e TA / TB ) . Calculate to 2 decimals.arrow_forwardIf the volumetric expansion coefficient of an ideal gas is (1/T) and the compression coefficient (1/p), prove the equation of state for an ideal gas pv = nRT if (v, T) v = varrow_forward
- a student experiment, a constant-volume gas thermometer is calibrated in dry ice (-78.5 degrees C) and in boiling ethyl alcohol (78 degrees C). The separate pressures are 0.896 atm and 1.629 atm. Hint: Use the linear relationship P = A + BT, where A and B are constants. (a) What value of absolute zero does the calibration yield? (b) What pressure would be found at the freezing point of water? (c) What pressure would be found at the boiling point of water?arrow_forwardAn atom of neon has a radius Ne-38. pm and an average speed in the gas phase at 25°C of 350.m/s. Suppose the speed of a neon atom at 25°C has been measured to within 0.10%. Calculate the smallest possible length of box inside of which the atom could be known to be located with certainty. Write your answer as a multiple of "Ne and round it to 2 significant figures. For example, if the smallest box the atom could be in turns out to be 42.0 times the radius of an atom of neon, you would enter "42.Ne" as your answer. [arrow_forwardEither give an exact answer, or make sure you include at least 4 significant digits on your answer. The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of an ideal gas are related by the equation PV = 8.31T. Find the rate at which the volume is changing when the temperature is 330 K and increasing at a rate of 0.15 K/s and the pressure is 26 and increasing at a rate of 0.03 kPa/s. 1110 L/Sarrow_forward
- The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of an ideal gas are related by the equation PV = 8.31T. Find the rate at which the volume is changing when the temperature is 270 K and increasing at a rate of 0.2 K/s and the pressure is 28 and increasing at a rate of 0.08 kPa/s. L/sarrow_forwardWhich of the statements are true?arrow_forwardThe Table shown gives experimental values of the pressure P of a given mass of gas corresponding to various values of the volume V. According to themodynamic principles, a relationship having the form PVk = C, wherek and C are constants, should exist betwoen the variables. Use the natural log (in) and linear regression to solve the following. 1) Find the value of k a) 0 64 b) 0.82 c) 0.78 d) 0.90 2) Find the value of C. a) 1125 b) 765 c) 995 d) 875 3) Estimate P when V = 100.0 in %3D a) 17.1 b) 31.5 c) 26.9 d) 39.9 TABLE V(in3) 59.5 61.8 72.4 88.7 118.6 244.9 P(bin?) 66.3 49.5 36.6 28.4 19.2 20.1 Write only the letter corresponding to the correct answer.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University