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Chapter 14

PCS 227 Chapter Notes - Chapter 14: Ideal Gas Law, Gas Constant, Elastic Collision


Department
Physics
Course Code
PCS 227
Professor
Karshafian
Chapter
14

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Chapter 14 | Ideal Gas Law and Kinetic Theory | Notes
The Ideal Gas Model
The ideal gas model is the collection of small, hard, randomly moving atoms that occasionally collide and
bounce off each other (elastic collision) but otherwise do not interact.
Atoms/molecules are modeled as hard spheres: Two hard spheres do not interact until they
come into actual contact at separation r contact and then bounce.
An ideal gas is an idealized model for real gases that have sufficiently low densities and the
temperature is well above the condensation point.
Ideal gas law is a relationship among the four state variables (P,V,n and T) that characterize an
ideal gas in thermal equilibrium.
Graph of PV (pressure times volume) and nT (# of moles times temperature):
The absolution pressure of an ideal gas is directly proportional to the Kelvin temperature and the number
of moles of the gas and is inversely proportional to the volume of the gas.

Where R is the universal gas constant: R = 8.31 J/(mol K)

Where k is the Boltzmann’s Constant:
 
  
Ideal Gas Processes:
Constant Volume Process (Isochoric)
Constant Pressure Process (Isobaric)
Constant Temperature Process (Isothermal)
Amount of Gas Remains Constant (n)
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