"The equation of Clausius to which I must now call your attention is of the following form:pV=\frac{2}{3}T-\frac{2}{3}\sum\sum(\frac{1}{2}Rr).Here p denotes the pressure of a fluid, and V the volume of the vessel which contains it. The product pV, in the case of gases at constant temperature, remains, as Boyle's Law tells us, nearly constant for different volumes and pressures. ...The other member of the equation consists of two terms, the first depending on the motion of the particles, and the second on the forces with which they act on each other. The quantity T is the kinetic energy of the system... that part of the energy which is due to the motion of the parts of the system. ...In the second term, r is the distance between any two particles, and R is the attraction between them. ...The quantity ½Rr or half the product of the attraction into the distance across which the attraction is exerted is defined by Clausius as the virial of the attraction. ∑∑(½Rr)... indicates that the value of ½Rr is to be found for every pair of particles and the results added together. Clausius has established this equation by a very simple mathematical process... it indicates two causes which may affect the pressure of the fluid on the vessel which contains it... We may therefore attribute the pressure of a fluid either to the motion of its particles or to a repulsion between them."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Original Language: English
Available Languages (1)
Sources
James Clerk Maxwell, On the Dynamical Evidence of the Molecular Constitution of Bodies (1875) Nature Vol. XI as quoted in The Scientific Papers of James Clerk Maxwell (1890)
https://en.wikiquote.org/wiki/Rudolf_Clausius
Revision History
No revisions have been submitted for this quote.
Categories
Rudolf Clausius
Rudolf Julius Emanuel Clausius (2 January 1822 –24 August 1888) was a German physicist and mathematician. He is considered one of the founders of the science of thermodynamics. By his restatement of Sadi Carnot's principle known as the Carnot cycle, he provided a more fundamental foundation for the theory of heat. His most important paper, On the Moving Force of Heat (1850) was first to declare the second law of thermodynamics. He introduced the concept of entropy in 1865, and the virial theorem
52 quotes on TrueQuotesView all quotes by Rudolf Clausius →
Related Quotes
"The steam-engine having furnished us with a means of converting heat into a motive power, and our thoughts being ther…"
"Carnot proves that whenever work is produced by heat... a... quantity of heat passes from a warm body to... cold... […"
"The careful experiments of Joule, who developed heat... by the application of mechanical force, establish... not only…"
"[M]any facts.. lately transpired... tend to overthrow the hypothesis that heat is... a body, and to prove that it con…"
"[M]any facts have lately transpired which tend to overthrow the hypothesis that heat is itself a body, and to prove t…"
"[T]he new theory is opposed, not to the real fundamental principle of Carnot, but to the addition "no heat is lost;" …"
"I. Deductions from the principle of the equivalence of heat and work. We shall forbear entering... on the nature of t…"
"[T]he entire quantity of heat, Q, absorbed by the gas during a change of volume and temperature may be decomposed int…"
"In my memoir "On the Moving Force of Heat, &c." I have shown that the theorem of the equivalence of heat and work, an…"
"My memoirs "On the Mechanical Theory of Heat" are of different kinds. Some are devoted to the development of the gene…"