Ideal Gas Equation and Kinetic Theory
An ideal gas obeys PV = nRT, a combination of Boyle's, Charles's and Avogadro's laws derived from kinetic theory assumptions.
What is Ideal Gas Equation and Kinetic Theory?
An ideal gas obeys PV = nRT, a combination of Boyle's, Charles's and Avogadro's laws derived from kinetic theory assumptions.
Key formula / rule: PV = nRT with R = 8.314 J per mol per K.
Key points
- Apply the ideal gas equation to compute an unknown state variable.
- Derive the relation between molecular speed and temperature.
Common exam trap
Using Celsius temperature in gas law calculations.
Definitions
- Term
Ideal Gas Equation and Kinetic Theory
- Meaning
An ideal gas obeys PV = nRT, a combination of Boyle's, Charles's and Avogadro's laws derived from kinetic theory assumptions.
- Term
Ideal Gas Equation and Kinetic Theory — explanation
- Meaning
The model assumes point particles with no intermolecular forces and perfectly elastic collisions. Kinetic theory connects the macroscopic pressure to the mean kinetic energy of the molecules.
Learning objectives
Apply the ideal gas equation to compute an unknown state variable.
Derive the relation between molecular speed and temperature.
Formulae
- Key point
PV = nRT with R = 8.314 J per mol per K.
- Key point
Average kinetic energy per molecule depends only on temperature.
- Key point
Root mean square speed varies as the square root of T over M.
Prerequisites
CHE-U1-BC-T1-S1-C1
Common mistakes
Using Celsius temperature in gas law calculations.
Applying the ideal equation at high pressure where it fails.
Keywords
Ideal
Equation
Kinetic
Theory
Practice preview
Which of the following equations correctly represents the ideal gas law?…
easy
A gas occupies a volume of 2.0 L at 27 °C and 1.0 atm pressure. How many moles of the gas are present? (Given R = 0.0821 L atm mol-1 K-1)…
easy
According to the Kinetic Theory of Gases, the average kinetic energy of gas molecules is directly proportional to which of the following?…
medium