Ideal Gas Law Calculator

Calculate Gas Properties with Precision

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Pressure Calculator

Easily find the pressure of a gas when you know its volume, the number of moles, and its temperature. Our calculator makes it simple!

Pressure: - atm

Volume Calculator

Determine the volume a gas occupies given its pressure, the number of moles, and its temperature. Get quick results here!

Volume: - L

Moles Calculator

Figure out the amount of gas (in moles) from its pressure, volume, and temperature. A handy tool for chemistry calculations!

Moles: - mol

Temperature Calculator

Discover the temperature of a gas using its pressure, volume, and the number of moles. Perfect for your gas law problems!

Temperature: - K

Understanding the Ideal Gas Law

What is the Ideal Gas Law?

The Ideal Gas Law, often written as PV = nRT, is a fundamental equation in chemistry that helps us understand how gases behave. It shows the relationship between a gas's pressure (P), volume (V), the amount of gas (n, in moles), and its temperature (T). 'R' is a special number called 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 are very small and don't take up much space.
  • There are no attractive or repulsive forces between gas particles.
  • When gas particles hit each other or the container walls, they don't lose energy.
  • Gas particles move randomly in all directions.
  • The particles are always moving.

Real vs. Ideal Gases

Deviations from ideal behavior occur due to:

  • When pressure is very high (particles are squished together).
  • When temperature is very low (particles move slowly).
  • When gas particles attract each other strongly.
  • When gas molecules are very large.

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