Define the function Y(N,γ,T) as
Y(N,γ,T)=∫0∞Q(N,V,T)eγVdV.
What physical meaning must be given to the parameter γ so that the function Y assumes some direct relevance to thermodynamics? Set up a scheme to derive the various thermodynamic quantities of a given physical system from the function Y, and illustrate it by considering a few simple examples.