Ideal gas except for the specification of these constants. The results of the quantum Boltzmann gas are used in a number of cases including the Sackur–Tetrode equation for the entropy of an ideal gas and the Saha ionization equation for a weakly ionized plasma. The classical thermodynamic properties of an ideal gas can be described by two equations of state: The ideal gas law is the equation of state for an ideal gas, given by: where The ideal gas law is an extension of experimentally discovered gas laws. It can also be derived from microscopic considerations. Real fluids at low density and
Negative base For example, the numbers from 100 to 109 have the same representations in decimal and negadecimal. Similarly, and is represented by 10001 in binary and 10001 in negabinary. Some numbers with their expansions in a number of positive and corresponding negative bases are: Note that the base expansions of negative integers have an even number of digits, while the base expansions of the non-negative integers have an odd number of digits. The base expansion of a number can be found by repeated division by , recording the non-negative remainders of formula_3, and concatenating those remainders, starting with the last. Note