At low temperatures, the entropy (S) and the isothermal compressibility (K™) of a weakly interacting Bose gas can be app

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At Low Temperatures The Entropy S And The Isothermal Compressibility K Of A Weakly Interacting Bose Gas Can Be App 1 (298.09 KiB) Viewed 25 times

At low temperatures, the entropy (S) and the isothermal compressibility (K™) of a weakly interacting Bose gas can be approximated by 5 S(T,V) = zaT³/²V 1 av 1 KT = == V² VaP 2c where a and c are constants. In the limit of low temperatures and large volumes, the pressure (P) and internal energy density (E/V) tend to zero. a) Find the equation of state P(T,V). b) Find the internal energy E(T,V). c) Does this model for the Bose gas obey the third law of thermodynamics? Justify your answer