– The Flory Huggins equation of state for monodisperse polymers can be turned into a density functional by adding a square gradient term, with a coefficient fixed by appeal to RPA (random phase approximation). We present instead a model nonlocal functional in which each polymer is replaced by a deterministic, penetrable particle of known shape. This reproduces the RPA and square gradient theori...

A simple analytic theory for mixtures of hard spheres and larger polymers with excluded volume interactions is developed. The mixture is shown to exhibit extensive immiscibility. For large polymers with strong excluded volume interactions, the density of monomers at the critical point for demixing decreases as one over the square root of the length of the polymer, while the density of spheres t...

The Flory–Huggins χ parameter describes the excess free energy of mixing and governs phase behavior for polymer blends and block copolymers. For chemically-distinct nonpolar polymers, the value of χ is dominated by the mismatch in cohesive energy densities of the monomers. For blends of chemically-similar polymers, the entropic portion of χ, arising from non-ideal local packing, becomes more si...

In this study, lignin was isolated from rice (Oryza sativa L.) husk using alkaline extraction method and used as an adsorbent for aqueous solutions of methyl orange (MO) bromothymol blue (BTB). The equilibrium removal rate MO found to be at 61.4%, with experimental adsorbate uptake, qe, 1.23 mg·g-1, achieved 150 minutes contact time. For BTB, the 78.3%, qe 1.57 Pseudo-first order (PFO) pseudo-s...

Grave and complicated pollution problems are posed by the existence of heavy metals trendy environment this has been a focus study all over world. The Activated carbonized avocado pear seed (ACAPS) activated orange peel (ACOP) were each soaked with potassium hydroxide (KOH) solution at 1:1 ratio, for 48 hours, outcome was washed, air-dried separately oven dried 105℃ 6 hours further heated in mu...

Black cumin seed pulp (C), as well biochar (CC) produced via pyrolysis of black were used to remove methylene violet 2B (MV) and basic yellow 28 (BY28) from aqueous solution. Adsorption isotherms kinetics applied at 10, 25, 35 °C. The adsorption on the surface was exothermic; heat values lower than 0. capacities BY28-C, BY28-CC, MV-C, MV-CC 212.8, 625, 164, 909 mg g-1 25 °C, respectively. data ...

Boehm and Martire have shown that the Flory-Huggins (FH) lattice model applied to mixtures of squares and rigid rods in solvent on a two dimensional lattice gives different results depending on whether rods or squares are placed first onto the lattice. This correct derivation places the validity of the FH model itself into question since the final result should be independent of the order of pl...