QIC SA vertical cylinder ofcross-sectional area A is fitted witha tight-fitting, frictionless piston ofmass m (Fig. P10.58). (a) If n molesof an ideal gas are in the cylinderat a temperature of T, use Newton'ssecond law for equilibrium to showthat the height h at which the pis-ton is in equilibrium under its ownweight is given byGasnRTmg + PAFigure P10.58where P, is atmospheric pressure.(b) Is the pressure inside the cylinder less than, equal to, orgreater than atmospheric pressure? (c) If the gas in the cylin-der is warmed, how would the answer for h be affected?

Answered: QIC SA vertical cylinder of…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

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Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 81AP: One process for decaffeinating coffee uses carbon dioxide ( M=44.0 g/mol) at a molar density of...

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A company advertises that it delivers helium at a gauge pressure of 1.72107 Pa in a cylinder of volume 43.8 L. How many balloons can be inflated to a volume of 4.00 L with that amount of helium? Assume the pressure inside the balloons is 1.72105 Pa and the temperature in the cylinder and the balloons is 25.0 .
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. `
One might think that the internal energy of diatomic gases is given by Eint=5RT/2 . Do diatomic gases near room temperature have more or less internal energy than that? Hint: Their internal energy includes the total energy added in raising the temperature from the boiling point (very low) to room temperature.
A system consisting of 20.0 mol of a monoatomic ideal gas is cooled at constant pressure from a volume of 50.0 L to 10.0 L. The initial temperature was 300 K. What is the change in entropy of the gas?
Under what circumstances would you expect a gas to behave significantly differently than predicted by the ideal gas law?
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.
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)
By what factor would a scuba diver’s lungs expand if she as-cended rapidly to the surface from a depth of 125 ft without in-haling or exhaling? If an expansion factor greater than 1.5 causeslung rupture, how far could she safely ascend from 125 ft with-out breathing? Assume constant temperature (d of seawater =1.04 g/mL; d of Hg =13.5 g/mL)
What macroscopic property of an ideal gas doubles when the absolute temperature is doubled while keeping the pressure constant?
What is the total translational kinetic energy of the air molecules in a room of volume 23 m3 if the pressure is 9.5 × 104 Pa (the room is at fairly high elevation) and the temperature is 21 °C ? Is any item of data unnecessary forthe solution?
Suppose that a gas obeys at low pressures the equation PVm = RT + (A+ B/T2)P where A and B are constants independent of pressure and temperature, and Vm is the molar volume. Derive the expression for the change in enthalpy which will accompany the expansion of n moles of gas from a pressure P1to a pressure P2 at temperature T.
Two vessels X & Y of volumes 10x10-4 m3 and 5x10-4 m3 connected by a tube of negligible volume and kept at temperatures of 400 K and 200 K respectively, contain the same ideal gas. What is the ratio of nX : nY?

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