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Zhang, Z., Drapaca, C., Zhang, Z., Zhang, S., Sun, S. and Liu, H. (2018) Entropy, 20, 14.
https://doi.org/10.3390/e20010014

has been cited by the following article:

• TITLE: New Method Proving Clausius Inequality

  AUTHORS: Chengshu Jin

  KEYWORDS: First Law of Thermodynamics, Clausius Inequality, Internal Energy Change, Chemical Reaction, Gravitational Field

  JOURNAL NAME: Journal of Modern Physics, Vol.11 No.10, October 20, 2020

  ABSTRACT: It is impossible that proving the internal energy change has the relations with volume and pressure. About the second law of thermodynamics, many mistakes of formulations need to be put right and modified, and many new concepts are surveyed too. The equality and inequality on the ratios of internal energy change to temperature and work to temperature are discussed. The relation between the reversible paths and their realistic paths is also researched. In an isothermal process, the internal energy change for the gases is equal to zero, but the internal energy change is not equal to zero for the phase transition or chemical reaction. The Clausius inequality can be derived from the equation calculating the internal energy change in mathematics; it is the new method proving the Clausius inequality. These change laws of thermodynamics could be applied to the gravitational field and mechanical motion and so on.