Ideal Gas Equation and Gas Laws
PV = nRT, combining Boyle's, Charles's and Avogadro's laws for an ideal gas.
What is Ideal Gas Equation and Gas Laws?
PV = nRT, combining Boyle's, Charles's and Avogadro's laws for an ideal gas.
Key formula / rule: PV = nRT = NkT with k = R/NA.
Key points
- Apply the ideal gas equation to state changes.
- Identify the conditions under which the ideal model fails.
Common exam trap
Using Celsius temperature in the gas equation.
Definitions
- Term
Ideal Gas Equation and Gas Laws
- Meaning
PV = nRT, combining Boyle's, Charles's and Avogadro's laws for an ideal gas.
- Term
Ideal Gas Equation and Gas Laws — explanation
- Meaning
The ideal model neglects molecular volume and intermolecular forces, so it fails at high pressure and low temperature where real-gas corrections become necessary.
Learning objectives
Apply the ideal gas equation to state changes.
Identify the conditions under which the ideal model fails.
Formulae
- Key point
PV = nRT = NkT with k = R/NA.
- Key point
Boyle, Charles and Gay-Lussac are special cases.
- Key point
Real gases deviate at high P and low T.
Prerequisites
PHY-U3-THR-T1-S1-C1
Common mistakes
Using Celsius temperature in the gas equation.
Applying ideal behaviour near liquefaction conditions.
Keywords
Ideal
Equation
Practice preview
Which of the following equations correctly represents the Ideal Gas Equation?…
easy
A gas occupies a volume of 22.4 L at 0 degree C and 1 atm pressure. How many moles of gas are present? (Given R = 0.0821 L atm mol-1 K-1)…
medium
Which of the following statements is INCORRECT regarding ideal gases and gas laws?…
hard