The Gibbs paradox follows from this equation by failing to treat entropy as an extensive variable, and this equation implies that internal energy is independent of volume.  
The Gibbs paradox follows from this equation by failing to treat entropy as an extensive variable, and this equation implies that internal energy is independent of volume.  One modification includes a term for molecular size and interactions, while a common approximation using this equation gives a volume of (*) twenty two point four liters.  The namesake constant of proportionality is equal to the product of Avogadro's number and Boltzman's constant.  Applying in the limit of high temperature and low pressure, for 10 points, name this equation that states P V equals N R T and describes a particular state of matter.
The Gibbs paradox follows from this equation by failing to treat entropy as an extensive variable, and this equation implies that internal energy is independent of volume.  
{Ideal Gas} Law