scholarly journals Equation Calculating Internal Energy Change Derived from the Clausius Inequality

2019 ◽  
Vol 4 (3) ◽  
Author(s):  
Chengshu Jin ◽  
1990 ◽  
Vol 05 (03) ◽  
pp. 515-530
Author(s):  
YOSHITOMI MORIKAWA

We apply the microcanonical simulation method with friction terms to deduce the order of phase transitions by examining the existence of the S-shaped curve in the internal energy-temperature diagram. We study the dependence of the S-shape on a parameter of energy change by using a gauge model, and determine the location of the transition point. We further consider the possibility of finding out weak first-order phase transitions. We also explain several features in the method and remark a condition on the parameter for a reasonable simulation.


Author(s):  
Christopher O. Oriakhi

Chemical thermodynamics is the study of the energy changes and transfers associated with chemical and physical transformations. Energy is the ability to do work or to transfer heat. A spontaneous process is one that can occur on its own without any external influence. A spontaneous process always moves a system in the direction of equilibrium. When a process or reaction cannot occur under the prescribed conditions, it is nonspontaneous. The reverse of a spontaneous process or reaction is always nonspontaneous. Heat (q) is the energy transferred between a system and its surroundings due to a temperature difference. Work (w) is the energy change when a force (F) moves an object through a distance (d). Thus. . . W = F ×d. . . . A system is a specified part of the universe (e.g., a sample or a reaction mixture we are studying). Everything outside the system is referred to as the surroundings. The universe is the system plus the surroundings. A state function is a thermodynamic quantity that defines the present state or condition of the system. Changes in state function quantities are independent of the path (or process) used to arrive at the final state from the initial state. Examples of state functions include enthalpy change (ΔH), entropy change, (ΔS) and free energy change, (ΔG). The internal energy of a system is the sum of the kinetic and potential energies of the particles making up the system. While it is not possible to determine the absolute internal energy of a system, we can easily measure changes in internal energy (which correspond to energy given off or absorbed by the system). The change in internal energy, . . . ΔE, is: ΔE = Efinal –Einitial. . . . The first law of thermodynamics, also called the law of conservation of energy, states that the total amount of energy in the universe is constant, that is, energy can neither be created nor destroyed. It can only be converted from one form into another. In mathematical terms, the law states that the change in internal energy of a system, ΔE, equals q+w. That is,. . . ΔE = q+w. . . In other words, the change in E is equal to the heat absorbed (or emitted) by the system, plus work done on (or by) the system.


AIP Advances ◽  
2020 ◽  
Vol 10 (2) ◽  
pp. 025009 ◽  
Author(s):  
T. Salahuddin ◽  
Nazim Siddique ◽  
Maryam Arshad ◽  
I. Tlili

2020 ◽  
Vol 11 (4) ◽  
pp. 1355-1365 ◽  
Author(s):  
T. Salahuddin ◽  
Maryam Arshad ◽  
Nazim Siddique ◽  
A.S. Alqahtani ◽  
M.Y. Malik

2016 ◽  
Vol 120 (46) ◽  
pp. 9203-9208 ◽  
Author(s):  
Takuto Shimamori ◽  
Jer-Lai Kuo ◽  
Asuka Fujii

2020 ◽  
Vol 1 (2) ◽  
pp. 169-173
Author(s):  
Andrzej Lorkowski ◽  
Robert Jeszke

The whole world is currently struggling with one of the most disastrous pandemics to hit in modern times – Covid-19. Individual national governments, the WHO and worldwide media organisations are appealing for humanity to universally stay at home, to limit contact and to stay safe in the ongoing fight against this unseen threat. Economists are concerned about the devastating effect this will have on the markets and possible outcomes. One of the countries suffering from potential destruction of this situation is Poland. In this article we will explain how difficult internal energy transformation is, considering the long-term crisis associated with the extraction and usage of coal, the European Green Deal and current discussion on increasing the EU 2030 climate ambitions. In the face of an ongoing pandemic, the situation becomes even more challenging with each passing day.


2018 ◽  
Vol 14 (3) ◽  
pp. 5708-5733 ◽  
Author(s):  
Vyacheslav Michailovich Somsikov

The analytical review of the papers devoted to the deterministic mechanism of irreversibility (DMI) is presented. The history of solving of the irreversibility problem is briefly described. It is shown, how the DMI was found basing on the motion equation for a structured body. The structured body was given by a set of potentially interacting material points. The taking into account of the body’s structure led to the possibility of describing dissipative processes. This possibility caused by the transformation of the body’s motion energy into internal energy. It is shown, that the condition of holonomic constraints, which used for obtaining of the canonical formalisms of classical mechanics, is excluding the DMI in Hamiltonian systems. The concepts of D-entropy and evolutionary non-linearity are discussed. The connection between thermodynamics and the laws of classical mechanics is shown. Extended forms of the Lagrange, Hamilton, Liouville, and Schrödinger equations, which describe dissipative processes, are presented.


Sign in / Sign up

Export Citation Format

Share Document