My Weblog: The Gospel Preacher.

In 1 Corinthians 1:20, it is written, " 20 Where is the wise? where is the scribe? where is the ¹disputer of this world? ^bhath not God made foolish the wisdom of this world? "  Concerning the wisdom of this world, consider the concept of statistical mechanics, with regard to the entropy of mixing and the Gibbs paradox, below:

One thing we readily observe from expression (1.4.21) is that, contrary to what is logically desired, the entropy of an ideal gas, as given by this expression, is not and extensive property of the system!  That is, if we increase the size of the system by a factor α, keeping the intensive variables unchanged,^* then the value of the entropy, which should just increase by the same factor α, does not do so; actually, the presence of the ln V term in the expression affects the result adversely.

(N1, V1; T) [ sic ]

(N2, V2; T) [ sic ]

FIG. 1.3. The mixing together of two ideal gases 1 and 2.
This in a way means that the entropy of the system is different from the sum of the entropies of its various parts, which is simply absurd!  A more common way of looking at this problem is to consider the so-called Gibbs Paradox.  Gibbs visualized the mixing of two ideal gases 1 and 2, both being initially at the same temperature T; see Fig. 1.3.  Clearly, the temperature of the mixture would also be the same.  Now, before the mixing took place, the respective entropies of the two gases were, see eqns. (1.4.21) and (1.4.23),


. "¹  Since ideal gases are considered, this, by necessity, involves the ideal gas law.  The ideal gas law demonstrates the relationship of the pressure and volume to the temperature, for example — see equation ( 1 ) below:

( 1 )   PV = nRT,
where P is the pressure, V is the volume, n is the number of moles of an ideal gas, R is the ideal gas constant, and T is the temperature.²  Additionally, the word " entropy " simply refers to the degree of randomness of a system.  Mechanical engineering students, for example, who have studied thermodynamics, would recognize this word.  For a consideration of the word of God ( the Holy Bible ), please see the SmartArt graphic, below:

In Malachi 2:6, 7, it is written ( please begin at verse one, and read through verse nine, to get the immediate context ), " 6 ^aThe¹ law of truth was in his mouth, and ²iniquity was not found in his lips: he walked with me in peace and equity, and did ^bturn many away from iniquity.  7 ^aFor the priest's lips should keep knowledge, and they should seek the law at his mouth: ^bfor he is the messenger of the LORD of hosts. "  God says that knowledge of Him is true knowledge.  For those who wish to study statistical mechanics, they can do so, but such knowledge is not true knowledge.  Science, mathematics, and engineering play a vital role in society, but if one has not obeyed the gospel message ( see also Acts 15:1-21 ( especially verse 7, for example ) and Ephesians 1:1-14 ( especially verse 13, for example ), for example ), then he or she is not saved, and will be condemned to hell eternally.

The apostle Paul asked, " Where is the wise? "  The wise are Christians, members of the church, who live for Christ and, in so doing, pursuade sinners ( see Matthew 26:36-46 ( especially verse 45, for example ), for example ) to obey the gospel message and live for Christ ( see 2 Corinthians, chapter 5 ( especially verses 10, 11, 14, and 15, for example ), for example ).  In Proverbs 11:30, it is written, " 30 The fruit of the righteous is a tree of life; and ^ahe that ¹winneth souls is wise. "  Please seek ye out of the book of the LORD, and read ( see Isaiah 34:16, for example ). 🕮

1. International Series in Natural Philosophy Volume 45, Statistical Mechanics, Pathria, R. K., University of Waterloo, Waterloo, Ontario, Canada, Copyright © 1972 R. K. Pathria, p. 24.
2.  https://www.bing.com/search?pc=CBHS&ptag=N7211D022720AAA0D337D47&form=CONBDF&conlogo=CT2174808&q=Ideal+Gas+Law.