Ideal Gases

Video Clips

Ideal Gas Law II (8.01, Fall 1999)

Video RealVideo®
8:08 minutes (6:40 - 14:48)

Molar volume; ideal gases and transfer of momentum; Boltzmann's constant.

Prior Knowledge: Ideal Gas Law I (beginning of V33)
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Ideal Gas Law I (8.01, Fall 1999)

Video RealVideo®
6:40 minutes (0:00 - 6:40)

Statement; Avogadro's number and relation to atomic masses.

Prior Knowledge: None
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Ideal Gas Law II (8.01, Fall 1999)

Video RealVideo®
8:08 minutes (6:40 - 14:48)

Molar volume; ideal gases and transfer of momentum; Boltzmann's constant.

Prior Knowledge: Ideal Gas Law I (beginning of V33)
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Overpressure Gauge (8.01, Fall 1999)

Video RealVideo®
7:32 minutes (14:48 - 22:20)

Comparison of pressures at different T; measurements of P using gauge when at room T and in boiling water.

Prior Knowledge: Ideal Gas Law (beginning of V33)
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Phase Transitions (8.01, Fall 1999)

Video RealVideo®
8:07 minutes (22:20 - 30:27)

Phase diagrams and transitions; example of CO2 inside fire extinguisher which is not all gas, with calculation to verify.

Prior Knowledge: Ideal Gas Law (beginning of V33)
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Lecture Notes

Fluids (8.01L, Fall 2005)

Document PDF
Page 1 to page 2

General properties of fluids; temperature defined; heat and temperature; pressure defined; pressure versus height; buoyancy forces; Bernoulli's equation.

Prior Knowledge: Work-Energy, Newton's Second Law
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Kinetic Theory and Ideal Gas (8.01T, Fall 2004)

Document PDF
Page 6 to page 21

Ideal gas law defined (pV = nRT = NkT); work and heat as processes leading to changes of state; gas properties; kinematics and dynamics of gas molecules; degrees of freedom of motion for gas molecule; equipartition theorem; derivation of ideal gas law; ideal atmosphere and isothermal atmosphere.

Prior Knowledge: Kinematics and dynamics of a point particle
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Ideal Gas Review (8.01T, Fall 2004)

Document PDF - 1.5 MB
Page 37 to page 45

Ideal gas law defined; ideal gas assumptions and gas properties; pressure of a gas; degrees of freedom for a molecule; kinetic energy and temperature.

Prior Knowledge: Lecture 29
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Practice Problems

Isothermal Ideal Gas Atmosphere (8.01T, Fall 2004)

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Problem 1

Motion of an oxygen molecule modeled as an ideal gas.

Prior Knowledge: None
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Problem 2

Analyzing an apparatus used to measure the speeds of gas molecules.

Prior Knowledge: None
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Exam Questions

Weather Balloon (8.01L, Fall 2005)

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Problem 1a

Volume of an ascending weather balloon.

Prior Knowledge: None
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Air Pressure (8.01L, Fall 2005)

Document PDF
Problem 3a

Finding the air pressure at the top of a mountain.

Prior Knowledge: None
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Pressurized Helium (8.01L, Fall 2005)

Document PDF
Problem 3b

Finding the pressure inside a bottle of helium.

Prior Knowledge: None
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Kinetic Theory (8.01T, Fall 2004)

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Problem A2

Properties of a contained ideal gas.

Prior Knowledge: None
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MIT courses referenced in this section: