Ideal Gas Law Calculator

Calculate Gas Properties with Precision

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Pressure Calculator

Calculate pressure using volume, moles, and temperature.

Pressure: - atm

Volume Calculator

Calculate volume using pressure, moles, and temperature.

Volume: - L

Moles Calculator

Calculate number of moles using pressure, volume, and temperature.

Moles: - mol

Temperature Calculator

Calculate temperature using pressure, volume, and moles.

Temperature: - K

Understanding the Ideal Gas Law

What is the Ideal Gas Law?

The Ideal Gas Law (PV = nRT) describes the relationship between pressure (P), volume (V), number of moles (n), and temperature (T) for an ideal gas. R is the gas constant.

PV = nRT

Where:

  • P = Pressure (atm)
  • V = Volume (L)
  • n = Number of moles
  • R = Gas constant (0.08206 L⋅atm/mol⋅K)
  • T = Temperature (K)

Assumptions of Ideal Gas Law

The ideal gas law assumes:

  • Gas particles have negligible volume
  • No intermolecular forces
  • Perfectly elastic collisions
  • Random motion of particles
  • Constant random motion

Real vs. Ideal Gases

Deviations from ideal behavior occur due to:

  • High pressures
  • Low temperatures
  • Strong intermolecular forces
  • Large molecular size

Applications

The Ideal Gas Law is used in:

  • Chemical reaction calculations
  • Industrial process design
  • Weather prediction
  • Respiratory physiology
  • Hot air balloon design

Essential Gas Law Formulas

Pressure

P = nRT/V

Volume

V = nRT/P

Number of Moles

n = PV/RT

Temperature

T = PV/nR