Describe a constant pressure ideal gas thermometer

Assignment Help Mechanical Engineering
Reference no: EM131355983

Consider a van der Waals gas contained in the apparatus described in Problem 3.4-1 (i.e., in the "constant volume gas thermometer").

a) Assuming it to be known in advance that the gas obeys a van der Waals equation of state, show that knowledge of two reference temperatures enables one to evaluate the van der Waals constants a and b.

b) Knowing the constants a and b, show that the apparatus can then be used as a thermometer, to measure any other temperature.

c) Show that knowledge of three reference temperatures enables one to determine whether a gas satisfies the van der Waals equation of state, and if it does, enables one to measure any other temperature.

Problem 3.4-1

A "constant volume ideal gas thermometer" is constructed as shown (schematically) in Fig. 3.3. The bulb containing the gas is constructed of a material with a negligibly small coefficient of thermal expansion. The point A is a reference point marked on the stem of the bulb. The bulb is connected by a flexible tube to a reservoir of liquid mercury, open to the atmosphere. The mercury reservoir is raised or lowered until the mercury miniscus coincides with the reference point A. The height h of the mercury column is then read.

a) Show that the pressure of the gas is the sum of the external (atmospheric) pressure plus the height h of the mercury column multiplied by the weight per unit volume of mercury (as measured at the temperature of interest).

b) Using the equation of state of the ideal gas, explain how the temperature of the gas is then evaluated.

c) Describe a "constant pressure ideal gas thermometer" (in which a changing volume is directly measured at constant pressure).

1412_8421d6fb-45ed-4a34-a404-1cab1e2d5924.png

Reference no: EM131355983

Questions Cloud

How should state and local law enforcement executives : There is a widespread perception among state and local law enforcement executives that reported crime will increase with the adoption of the National Incident Based Reporting System (N.I.B.R.S.), largely as a result of the elimination of the hiera..
What is the eight hour twa concentration : What is the Eight hour TWA concentration in milligrams per cubic meter (mg/m3) - Think very carefully how you might do this. The final units are in mg/m3. You have mass in ug. You also have minutes and liters per minute. That should tell you how ma..
Responsibilities of a facilitator : The homework: Explain the role and responsibilities of a facilitator.  Identify a few "core values" for effective facilitators.  Determine which ones are "most" important to you and your organization.
President of marketing for a hospital : Imagine you are the vice president of marketing for a hospital that wants to implement a men's health product line. Write a 3-5 page assessment that answers the following:
Describe a constant pressure ideal gas thermometer : Show that the pressure of the gas is the sum of the external (atmospheric) pressure plus the height h of the mercury column multiplied by the weight per unit volume of mercury (as measured at the temperature of interest).
Discuss motives for mass killings providing examples : Discuss motives for mass killings providing examples.List two problems with current terrorism research and tracking.
Determine the factored moment capacity : Determine the factored moment capacity ?Mn of the rectangular section subjected to interior environmental exposure with an initial deformation in the concrete substrate εbi = 0.0060.
Do the countries have a suitable infrastructure : Do the countries have an acceptable economic, political, ethical, legal environment? Do the countries have a suitable infrastructure? Is one location in a country more suitable for the industry than another?
Ceo of a large healthcare system : Take the perspective of the CEO of a large healthcare system that owns its own managed care health plan. Describe three major ways that you could improve the quality of healthcare in your organization.

Reviews

Write a Review

Mechanical Engineering Questions & Answers

  Find cutting speed for maximum production rate

A cemented carbide tool is used to turn a part with a length of 14.0 in and diameter = 4.0 in. The parameters in the Taylor equation are: n=0.25 and C=1000 (ft/min).

  If the wall thickness is 50 mm the inner surface

a furnace of cubical shape with external dimensions of 0.35 m is constructed from a refractory brick fireclay. if the

  Determining the volumetric heating

The exposed surface (x = 0) of a plane wall of thermal conductivity k is subjected to microwave radiation that causes volumetric heating to vary as where q"0 (W/m3) is a constant. The boundary at x = L is perfectly insulated, while the exposed sur..

  Determining the average speed of a man

(a) What is the average speed of a man? (b) What is the average velocity of a man?

  Why does necking occur during a tensile test use your

why does necking occur during a tensile test? use your knowledge of engineering stress and strain to explain the

  Fill in the following table that specifies

When a tape head is ready, the controller will signal that it is ready to accept all 256 bytes. At this time, the tape interface chip is ready to transfer as fast as possible all 256 bytes from the memory buffer at 0x1234 to the tape.

  Water initially exists as a saturated liquid

Water initially exists as a saturated liquid at 186oC is contained in a piston-cylinder assembly. The water undergoes a process to the corresponding saturated vapor state, during which the piston moves freely in the cylinder

  What heat removal flux can be achieved at the surface

What heat removal flux can be achieved at the surface of a horizontal 0.01 mm diameter electrical resistance wire in still 27?C air if its melting point is 927?C?

  Calculate the strains in the upper and lower falnges if the

in measuring the strains applied to a symmetrical i beam a full bridge is used. two strain gages are attached to the

  Find the value of heat transfer coefficient that will

a 2.5 cm thick layer of insulation k 1.5 wm oc is applied to a plane surface so that the inner surface of the

  Consider an ideal vapor-compression refrigeration cycle the

consider an ideal vapor-compression refrigeration cycle. the refrigerator employs refrigerant 134a as the working fluid

  The remaining steam continues expansion with an isentropic

in a steam power plant which utilizes rankine cycle steam enters the turbine at 100 bar and 400oc. it expands with an

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd