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We consider the problem of constructing the size dependence for the thermalphysical properties of nano-sized objects, taking specific heat as an example.The base methodology is Hill's nanothermodynamics. Having to abstain from useof the additivity concept leads to the problem of building the generalised(Hill's) partition sum on base of the combinatorial statistics averaging. Thegeneralised (Hill's) partition sum includes a volume-dependent factor, forwhich we construct a statistical approximation. Thence the expression for thesize dependence of thermodynamical potential is constructed, taking Gibbs' freeenergy as an example. Combining the author-introduced size factor andexpressions for specific heat allows us to construct size dependence for thespecific heat of nano-scaled object (nanoparticle).  Keywords: nanoparticles, nanothermodynamics, size dependence, thermalphysics, specific heat

Size dependency for the thermal physical properties of nano-sized objects in representation of Hill's nanothermodynamics