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Ideal Gas Law Solver

Solve for pressure (P), volume (V), amount of gas (n), or temperature (T) in the universal equation of state. Switch seamlessly between atmospheres, bars, kilopascals, liters, and Celsius units.

Ideal Gas Law Solver (PV = nRT)

Solve For:
g/mol

Solved Target Property

1.0000 atm

Total System Mass

16.04 g

Calculated Gas Density

0.7156 g/L

Formula Workspace (Standard SI Normalization)

Ideal Gas Law Base Equation: PV = nRT
P = (n × R × T) / V = (1.0000 × 8.3145 × 273.15) / 0.022414 = 101325 Pa

The Ideal Gas Law Equation Explained

The Ideal Gas Law is an equation of state that describes the behavior of a hypothetical ideal gas. It combines several empirical gas laws—including Boyle's Law, Charles's Law, and Avogadro's Principle—into a single relationship:

PV = nRT

Where the individual physical variables represent:

  • P (Pressure): The force exerted by gas collisions per unit area on the container walls.
  • V (Volume): The space occupied by the gas molecules, tabulated in liters or cubic meters.
  • n (Amount of Gas): The total quantitative matter profile measured in moles (or converted from raw mass inputs via molecular weights).
  • R (Universal Gas Constant): The constant scaling factor, defined precisely as 8.31446 J/(mol·K) within modern SI metrics.
  • T (Temperature): The average kinetic energy profile of the system, which must always be computed utilizing the absolute Kelvin scale.

What is an Ideal Gas?

An ideal gas is a theoretical model where the gas particles are assumed to have zero volume and experience no intermolecular forces (attraction or repulsion) between collisions. While real gases do not perfectly meet these assumptions, the ideal gas law provides an exceptionally accurate approximation for almost all real-world gases at high temperatures and low pressures.

FAQ: Gas Behavior Metrics
Why do I get a absolute zero warning error?

In classical thermodynamics, a temperature below 0 Kelvin (−273.15°C) is physically impossible because molecular kinetic motion reaches absolute zero energy boundaries. Inputs resulting in sub-zero Kelvin values will trigger a warning check.

How does altitude or atmospheric pressure shift density?

According to the equation, as ambient pressure drops, a constant mass of gas expands into a larger volume. This direct volumetric inflation lowers the overall density profile of the substance.