Pentcho Valev wrote: >
> By the end of 19th century J. Gibbs converted the first law of
> thermodynamics >
> dE = dQ - PdV (1)
$$ GUESS iSS Universal REST mass eM = E - eK (1)
$$ = + ( E ) - eK (1)
$$ = L + ( E - L ) - eK (1)
$$ = L + (SUM mu_i dn_i) - eK (2)
$$ = degK*[S] + (SUM mu_i dn_i) - eK (2)
$$ = L + (SUM mu_i dn_i) - eK (2)
$$ = L + eF ..eF is Helmholtz FREE energy;
$$ ..and EiTHER.. = eG - eV ..eV is Volt*Amp*sec ..energy;
$$ .. .. ..OR.. = eG + (m1*v1^2/2).
> into dE = TdS + [SUM mu_i dn_i] - PdV (2)
$$ Gibbs tried to differentiate what was a redundant LaGrangian.
$$ The GUESS differentiates Gibbs'free energy eG into, eM + eV ;
$$ .. ..OR (..in another calculation), into, eM - (m1*v1^2/2);
A NET energy caN'T iNCREASE & DECREASE, at once, per calculation.
Hope this helps, ```Brian A M Stuckless, Ph.T (Tivity).
> Gibbs did not notice that (2) was a physical absurdity - according
> to (2) mu_i, the chemical potential, turns out to be the increase
> in the internal energy of the system as one mole of the i-th
> component is added to the system, on condition that the volume and
> the entropy (!?!?) remain constant. Still in the interpretation of
> Gibbs (2) was a limited absurdity: Gibbs restricted the
> application of the equation to SYSTEMS IN INTERNAL EQUILIBRIUM for
> which, when such systems were closed, the entropy change dS was
> defined. Later someone else applied (2) to CHEMICAL SYSTEMS
> DISTANT FROM EQUILIBRIUM and the absurdity increased dramatically,
> to an extent allowing thermodynamics zombies to call (2) "The
> Fundamental Equation of Chemical Thermodynamics". (In the era of
> Postscientism equations containing undefined quantities like dS
> are fundamental by definition.) Finally, the postscientific
> juggler I. Prigogine simply combined (1) and (2) (eqs. 4.2 and
> 4.3' in I.Prigogine, "From Being to Becoming", Freeman and Co,
> 1980), obtained a new absurd expression for the entropy (eq. 4.13
in Prigogine's book) and was awarded the Nobel prize for his
> spoonerism. > > Pentcho Valev
Re: 'The Big Bang Never Happened' ..many I Prigogine references.
Re: The Metastases of Entropy.
brian a m stuckless - 24 Feb 2006 01:29 GMT
Typo-CORRECTED; < Gibbs Free energy eG >. Pentcho Valev wrote: >
> By the end of 19th century J. Gibbs converted the first law of
> thermodynamics > dE = dQ - PdV (1)
$$ GUESS iSS Universal REST mass eM = E - eK (1)
$$ = + ( E ) - eK (1)
$$ = L + ( E - L ) - eK (1)
$$ = L + (SUM mu_i dn_i) - eK (2)
$$ = degK*[S] + (SUM mu_i dn_i) - eK (2)
$$ = L + ( eG ) - eK (2)
$$ = L + eF ..eF is Helmholtz FREE energy;
$$ ..and EiTHER.. = eG - eV ..eV is Volt*Amp*sec ..energy;
$$ .. .. ..OR.. = eG + (m1*v1^2/2), ..Newton iso-system.
$$ .. .. ..OR.. = eG + (m1*v1^2/2), ..and Zero-Point eM.
> into dE = TdS + [SUM mu_i dn_i] - PdV (2)
$$ Gibbs differentiated, (SUM mu_i dn_i) = Gibbs Free energy eG.
$$ Gibbs CLEARLY differentiated his unique Gibbs Free energy eG.
$$ The GUESS differentiates Gibbs Free energy eG into, eM + eV ;
$$ .. ..OR (..in another calculation), into, eM - (m1*v1^2/2);
A NET energy caN'T iNCREASE & DECREASE, at once, per calculation.
Go-go Google GROUPs search:
< Re: Photon Mass. > & < Re: Elementary CHARGE (+ OR -), {e}. >.
$$ SI icon, {e} jOULE & {e} Amp*sec, NUMBER duality.
Note, {e}*Volt electronvolt energy; {e} has SI units of, Amp*sec.
Note, {e}*Volt electronvolt energy eV; SAME NUMBER as {e}->A*sec.
Note, {e}*Volt = Hartree eH / 10*("e") = 1*electronvolt -> joule.
Note, {e} -> Amp*sec = eH/Vu = eH/10*("e")*Volt -> {e} -> charge.
Note, Vu is Voltage POTENTiAL, at UNiT distance fron UNiT charge.
Hope this helps, ```Brian A M Stuckless, Ph.T (Tivity).
> Gibbs did not notice that (2) was a physical absurdity - according
> to (2) mu_i, the chemical potential, turns out to be the increase
[quoted text clipped - 15 lines]
> in Prigogine's book) and was awarded the Nobel prize for his
> spoonerism. > > Pentcho Valev
Re: 'The Big Bang Never Happened' ..many I Prigogine references.
Re: The Metastases of Entropy.
Typo-CORRECTED < Gibbs Free energy eG >. End of edited rePOST.