For a classical ideal gas, it scales as the number of particles times the log of the volume, the precise statement of which is known as the Sackur-Tetrode equation.
For de Sitter space it is finite, as shown by Gibbons and Hawking, due to the presence of a cosmological horizon. The entanglement version of it measures the amount of correlation between two different subsystems. The conditional version of it incorporates known information and is bounded above by the absolute one. For a classical ideal gas, it scales as the number of particles times the log of the volume, the precise statement of which is known as the Sackur-Tetrode equation. Given the assumption of molecular chaos one can prove the H-theorem of Boltzmann, showing that it increases, as demanded by the Second Law of Thermodynamics. For 10 points, what is this measure of the number of microstates in a system, which is usefully thought of as a measure of disorder?
For de Sitter space it is finite, as shown by Gibbons and Hawking, due to the presence of a cosmological horizon.
entropy