ADVERTISEMENT

Accurate Evaluation Of Internal Energy, Free Energy, Entropy, And Enthalpy Of Non-Polar Molecules Using Virial Coefficients

The theoretical assessments of thermodynamic quantities are of great significance for the accurate prediction of the many chemical processes, optimizing equipment, industrial applications, and designing engineering systems. The equations of state are very important for real gases because they are widely used both as initial and intermediate materials in modern technologies.

The Lennard-Jones (12-6) is well-known for having the potential to be successfully applied to the study of various properties gases and liquids. In this study, we have provided useful perspectives of an analytical approach for thermodynamics parameters determination of gases by using the second virial coefficient over the Lennard-Jones (12-6) potential in the wide temperature ranges.

ADVERTISEMENT

The established expressions were basic and general for arbitrary applications of real systems. The calculated thermodynamics quantities (internal energy, free energy, entropy and enthalpy) of gases ( Cl2, N2O, CH4, C2H2, AsH3, C6H6, Br2, COS, C2N2, Air, CH2, HCl, I2, SO2, He, Ne, Kr, Xe, H2, O2, N2, A, and CO2) were then presented as functions of temperature in terms of a new set of second virial coefficients and their first derivatives, which are shown to provide correct results and are suitable for enough use in the wide temperature range. 

The advance of this study was to use series expansion formulae of the exponential functions for the established formulae of second virial coefficients with Lennard-Jones (12-6) potential. It is well known that the series of formulas for the exponential functions are general and provide accurate results of arbitrary values of parameters. Therefore, the obtained formulae for the second virial coefficient and related thermodynamic quantities are valid in the arbitrary values of parameters.

Image courtesy of Bahtiyar A. Mamedov

As seen from the applications our approach, we present some advantages in the determination of thermodynamic properties of real gases. Within this framework, it is now possible to evaluate any thermodynamic properties for an arbitrary temperature, including a wide pressure range. Therefore, the formulae presented in the study will be useful in wide areas of the engineering sciences.

From the 19th century, the humans have progressively influenced the earth’s temperature and climate by burning fossil fuels. This has added greenhouse gases in enormous quantities that create the greenhouse effect on the atmosphere and increase global warming. Hence, in the Earth’s atmosphere, the gases either trap the sun’s heat or behave as a mirror, causing the rays to reflect back into space. Such theoretical studies may allow us to estimate the change in other thermodynamic properties and the speed of gases, especially in different layers of the atmosphere, depending on changes of temperature and pressure, without the use of any technological equipment.

ADVERTISEMENT

These findings are described in the article entitled Accurate evaluation of internal energy, free energy, entropy and enthalpy of non-polar molecules by using virial coefficients, recently published in the Chinese Journal of Physics. This work was conducted by B. A. Mamedov from the University of Gaziosmanpaşa and E. Somuncu from Giresun University.

Comments

READ THIS NEXT

Energy-Efficient Flexible Electrochromic Display: A Promising Trend In The Development Of Smart Displays

Traditional displays include cathode ray tube, flat panel display, liquid crystal display (LCD), and light-emitting diode (LED), which require continuous […]

Abstract Mindset Increases Consistency In Political Attitudes

The Oxford Dictionary defines ideology as “a system of ideas and ideals, especially one which forms the basis of economic […]

Mutualism, Commensalism, Parasitism: Types Of Symbiosis With Examples

Symbiosis is broken down into mutualism, commensalism, and parasitism based on how two species interact in their ecosystem. Mutualism is […]

Many Youngsters Suffer From Post-Traumatic Stress Disorder

A study suggests that one in 13 adolescents in England develops post-traumatic stress disorder before their 18th birthday. When one […]

When Eels Can’t Go With The Flow

Rivers: they are considered the veins of the Earth, providing numerous goods and services such as nutrient fluxes, habitat connectivity, […]

Radical Discovery Prompts A Rethink Of Cloud Chemistry

How long does a cloud live? As a nation, Britain is famous for its preoccupation with the weather. So as […]

Predicting The Crash Site For The Tiangong-1

Astronomers have been able to calculate accurately the movement of certain space objects (planets, stars), to tell when and where […]

Science Trends is a popular source of science news and education around the world. We cover everything from solar power cell technology to climate change to cancer research. We help hundreds of thousands of people every month learn about the world we live in and the latest scientific breakthroughs. Want to know more?