Year: 2025
Type: article
Abstract: High Resolution Image Download MS PowerPoint Slide This paper further simplifies the gas state equation (EOS) by introducing a thermodynamic constant, P c *, into the equation, a theoretical pressure that all gas converts into liquid. In the gas–liquid saturation system, linear regressions of ln P –ln x 2 from M.P. to T c give P = P c * x 2 . It verifies Henry’s law of gas solubility. Meanwhile, P c * s for most substances are found in the range of 15–16, i.e., 3.269–8.886 MPa. Hence, EOS deforms into P = P c * R T 10 − 3 P c * V G + R T . Isotherm is a forced equilibrium system sustained by an outer force. Isothermal EOS is derived by differentiating heat over V G . P = ( β + γ ) P c * R T 10 − 3 P c * V G + ( β + γ ) R T, where γ = − [ ∂ ln P ∂ ln V G ] T or γ = − [ ∂ ln x 2 ∂ ln V G ] T . Empolying Ar as an example, EOS are demonstrated over the whole pressure range, 0–1000 MPa, including the supercritical state. Applausive results are obtained in the pressure range before the gas–liquid transition and high temperatures (1000–2000 K), respectively. The supercritical state of intermediate temperatures (160–800 K) is likely liquid-like. Hence, EOS is not fittable.
Source: ACS Omega
Authors: Xiuyun Cui, Longyang Liu, Mingkun Jiang, Henmei Ni, Qianfei Shao
Institutions: Huangshan University, Southeast University
Language: English
Subfield: Biomedical Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,935
Award: G6462436882
OpenAlex ID: W4407775882