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Chapter 19 - Review
• BASIC DEFINITIONS:
Avogardro’s number, moles & molecules,
molar & molecular masses
• Ideal gas law:
pV = nRT (R: gas constant, T: Kelvin)
• Isothermal process:
T = constant
W = nRT Ln(Vf /Vi)
• Chapter 19: How are ( p, V, T ) related to the
motions of the atoms or molecules of the gas?
• This molecular approach is called the
KINETIC THEORY of GASES.
• What is the relation between pressure and the
speed of the molecules of the gas?
(19-3) The RMS speed
• Consider a gas of n moles (N molecules) confined to a
cubical box of edge length L (volume V = L3) and held
at temperature T.
• What is the relation between the pressure and the
speed of the molecules?
• The molecules move randomly in
all directions.
• Assumptions:
1. Ignore the collisions
between the molecules.
2. Consider the collisions with
the walls to be elastic.
Gas Molar Mass
(g/Mol)
RMS Speed
(m/s)
Hydrogen 2.02 1920
Helium 4.0 1370
Water Vapor 18.0 645
Nitrogen 28.0 517
Oxygen 32.0 483
Carbon Dioxide 44.0 412
Sulfur Dioxide 64.1 342
RMS Speeds of Some Gases at Room Temperature (25 oC)
Problem 2 – Book
Twenty two particles have speeds as follows:
Ni 2 4 6 8 2
vi(cm/s) 1 2 3 5 6
(a)What is their average speed?
(b)What is their vrms?
vi
2 1 4 9 25 36
( )2
Problem 44 – Book
At 546 K and 2.00 x 10-2 atm, the density of a
gas is 1.24 x 10-5 g/cm3.
a) Find vrms for the gas molecules.
b) Find the molar mass of the gas.
T p
r
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Lecture13.pdfddffgggghhhbnhhhhgfdfrfghgffgf

  • 1. Chapter 19 - Review • BASIC DEFINITIONS: Avogardro’s number, moles & molecules, molar & molecular masses • Ideal gas law: pV = nRT (R: gas constant, T: Kelvin) • Isothermal process: T = constant W = nRT Ln(Vf /Vi)
  • 2. • Chapter 19: How are ( p, V, T ) related to the motions of the atoms or molecules of the gas? • This molecular approach is called the KINETIC THEORY of GASES. • What is the relation between pressure and the speed of the molecules of the gas?
  • 3. (19-3) The RMS speed • Consider a gas of n moles (N molecules) confined to a cubical box of edge length L (volume V = L3) and held at temperature T. • What is the relation between the pressure and the speed of the molecules? • The molecules move randomly in all directions. • Assumptions: 1. Ignore the collisions between the molecules. 2. Consider the collisions with the walls to be elastic.
  • 4.
  • 5.
  • 6. Gas Molar Mass (g/Mol) RMS Speed (m/s) Hydrogen 2.02 1920 Helium 4.0 1370 Water Vapor 18.0 645 Nitrogen 28.0 517 Oxygen 32.0 483 Carbon Dioxide 44.0 412 Sulfur Dioxide 64.1 342 RMS Speeds of Some Gases at Room Temperature (25 oC)
  • 7.
  • 8.
  • 9. Problem 2 – Book Twenty two particles have speeds as follows: Ni 2 4 6 8 2 vi(cm/s) 1 2 3 5 6 (a)What is their average speed? (b)What is their vrms? vi 2 1 4 9 25 36 ( )2
  • 10. Problem 44 – Book At 546 K and 2.00 x 10-2 atm, the density of a gas is 1.24 x 10-5 g/cm3. a) Find vrms for the gas molecules. b) Find the molar mass of the gas. T p r