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Thermodynamics

Ideal Gas Law (Molar Form)

The ideal gas law relates an equilibrium gas state to its amount of substance.

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Source & review

Difficulty

Beginner

Read time

5 min

Prerequisites

Basic algebra and consistent SI units

Review statusNeeds review

Source

OpenStax, College Physics 2e, §13.3 (Paul Peter Urone and Roger Hinrichs)

Textbook reference retained from the OpenFormulaGraph dataset; adaptation credits and license are provided below.

Adapted from OpenFormulaGraph, under CC BY 4.0.

FormuLab adapted the notation, explanations, assumptions, and topic placement, and expanded the numerical check into a worked example.

Definition
Understanding the core concept

The ideal gas law relates an equilibrium gas state to its amount of substance. Absolute pressure and kelvin temperature are essential. Real gases can deviate from this approximation, particularly near condensation or at high density.

Variables & Units
Understanding each component
SymbolMeaningUnits
Absolute gas pressure
Gas volume
Amount of gas
Universal molar gas constant
Absolute temperature
Real-World Applications
Where this formula is used in practice

Gas states

Estimate pressure from temperature, volume, and amount.

Closed containers

Compare equilibrium gas states.

Worked Example
Step-by-step calculation with real numbers

Problem

An ideal gas occupies 0.0224 m³ and contains 1.00 mol at 273.15 K. Using R = 8.314 J/(mol·K), find its absolute pressure.

Given

Solution

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4

Final Answer

FormuLab is a study reference. Verify formulas, units, assumptions, and course-specific conventions before relying on them.

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