Statistical Physics

The field of statistical physics solves complex physical problems using the methods of probability theory and statistics. Wolfram|Alpha uses these same tools to examine the motion and properties of ideal gases on a macroscopic and statistical level.

Gas Laws

Calculate the properties of ideal and nonideal gases based on their pressure, temperature and chemical structure.

Do an ideal gas law computation:

Determine characteristics of an ideal gas:

Find characteristics of a van der Waals gas:

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Kinetic Theory

Examine the macroscopic properties of ideal gases, such as pressure, temperature, speed and thermal radiation.

Analyze blackbody radiation:

Find the Maxwell speed distribution of a gas:

Determine the mean free path:

Random Walks

Analyze random motion in multiple dimensions over time.

Analyze a random walk:

Analyze a Levy distribution:

Sackur–Tetrode Equation

Calculate entropy for a monoatomic ideal gas.

Compute entropy with the Sackur–Tetrode equation: