# C H A P T E R 14 The Ideal Gas Law and Kinetic Theory

C H A P T E R 14 The Ideal Gas Law and Kinetic Theory Avogadro's Number NA The number of atoms per mole is known as Avogadro's number NA, after the Italian scientist Amedeo Avogadro (17761856):

NA = 6.0221415 x 1023 mol-1 Atomic Mass Unit, U By international agreement, the reference element is chosen to be the most abundant type of carbon, called carbon-12, and its atomic mass is defined to be exactly twelve atomic mass units, or 12 u.

1 u = 1/(Avagadros Number) grams 1 u = 1/(6.0221415 x 1023) grams Number of Moles, n The number of moles n contained in any sample is the number of particles N in the sample divided by the number of particles per mole NA (Avogadro's number):

The number of moles contained in a sample can also be found from its mass. The Ideal Gas Law An ideal gas is an idealized model for real gases that have sufficiently low densities.

The condition of low density means that the molecules of the gas are so far apart that they do not interact (except during collisions that are effectively elastic). The ideal gas law expresses the relationship between the absolute pressure (P), the Kelvin temperature (T), the volume (V), and the number of moles (n) of the gas.

PV nRT Where R is the universal gas constant. R = 8.31 J/(mol K). The Ideal Gas Law The constant term R/NA is referred to as Boltzmann's constant, in honor of the Austrian physicist Ludwig

Boltzmann (18441906), and is represented by the symbol k: PV = NkT Kinetic Theory of Gases The pressure that a gas exerts is

caused by the impact of its molecules on the walls of the container. It can be shown that the average translational kinetic energy of a molecule of an ideal gas is given by, where k is Boltzmann's constant and T is the Kelvin temperature.

Derivation of, Consider a gas molecule colliding elastically with the right wall of the container and rebounding from it. Derivation Video EXAMPLE 6 The Speed of

Molecules in Air Air is primarily a mixture of nitrogen N2 (molecular mass = 28.0 u) and oxygen O2 (molecular mass = 32.0 u). Assume that each behaves as an ideal gas and determine the rms speed of the nitrogen and oxygen molecules when the temperature of the air is 300 K. Distribution of Molecular Speeds The Maxwell distribution curves for molecular speeds

in oxygen gas at temperatures of 300 and 1200 K. The Internal Energy of a Monatomic Ideal Gas

## Recently Viewed Presentations

• * More Elaborate Nonlinear Growth Models Latent basis model fix the loadings for two waves of data (typically the first and second waves or the first and last waves) and free the other loadings Bilinear or piecewise model inflection point...
• WAN. Wide Area Network. As the term implies, a WAN spans a large physical distance. The Internet is the largest WAN, spanning the Earth. A WAN is a geographically-dispersed collection of LANs. A network device called a router connects LANs...
• Click "View" next to the appropriate class to see test details. Printing Student Login Tickets. Scroll down and click on "Login Tickets" ...
• Part 3 CS186, Fall 2005 R &G - Chapters 5-6 It is not every question that deserves an answer. Publius Syrus. 42 B. C. Null Values Field values in a tuple are sometimes unknown (e.g., a rating has not been...
• Summary: How do buildings get built ? Role of traditional drawings Storage AND communication of design information Potential problem areas Communication, Representation and Comprehension, Change and Consistency, Knowledge Expertise & Skills, Static Are construction companies conservative ?
• OPERATE CALL POINT CLOSE DOORS DO NOT RUN FOLLOW THE EXIT SIGNS GO TO YOUR ASSEMBLY POINT IN THE EVENT OF FIRE EVACUATION Use Your nearest available Fire Exit Do not go back for personal belongings Do not use Lifts...
• Pega Weekly Status Report. Call out any issues with co-production If Co-production has issues and Pega has to do more work then we need to agree if we deal with this by changing scope / more paid effort from Pega...
• R-Controlled Vowels a.k.a. "The Bossy R!" 'or' Word List - I Read for porch torch scorch cord sword fork pork stork form storm born corn horn torn worn sworn thorn fort short snort sport 'or' Word List - We Read...