Eur. Phys. J. Plus (2022) 137: 298
https://doi.org/10.1140/epjp/s13360-022-02503-2

Regular Article

Evaluation of specific heat capacity and speed of sound of fluids by using the quantum correction to second virial coefficient with Kihara potential

¹ Department of Medical Services and Technology, Ulubey Vocational High School, Usak University, Usak, Turkey
² Department of Physics, Faculty of Arts and Sciences, Gaziosmanpaşa University, Tokat, Turkey

^a elf_smnc@hotmail.com

Received: 17 December 2021
Accepted: 18 February 2022
Published online: 3 March 2022

Abstract

In this work, an analytical formula for the quantum corrections to second virial coefficient over Kihara potential is proposed to evaluate correct and precision the specific heat capacities and speed of sound of fluids by using analytical expression. Also, analytical formulae are presented for the first and second derivatives of the quantum corrections to second virial coefficient. As an example, the suggested approach has been applied to $\text{Xe},\text{Ne},\text{Ar},{\text{N}}_2,{\text{H}}_2,{\text{CO}}_2,{\text{CF}}_4,{\text{C}}_6{\text{H}}_6$, n–C₄H₁₀, and n–C₅H₁₂ fluids for the evaluation of the quantum corrections to second virial coefficient with Kihara potential, specific heat capacity, and speed of sound as a function of temperature and pressure. The analytical formula leads to a rapid and correct evaluation and enables fluids precision calculations of thermodynamic properties (entropy, enthalpy, and internal energy) even in complex molecules due to the Kihara potential. Agreement of the obtained results with the available literature data demonstrates that the proposed formulae are accurate and effective.