How can I solve integrals with enthalpy and entropy in thermodynamics?

AI Thread Summary
The discussion centers on solving integrals related to enthalpy and entropy in thermodynamics, specifically deriving results from given equations in a referenced PDF. The user seeks assistance in transitioning from the integrals provided to the desired results, specifically equations 4.4-29 and 4.4-30. They express uncertainty about the integration process and mention the use of specific variables like Z and B in their calculations. The user is looking for a clear method to achieve the integration and obtain the correct results. Help is requested to clarify the integration steps needed for these thermodynamic equations.
nataliapw21
2
0
I come from Poland and I had to visit this site because I didn't find solution for my problem. I was given a task to solve an integral with enthalpy and entropy. The problem is that I don't know how to solve the integral I was given. I'm sorry that I'm wasting your time but I didn't have any choice and I'm asking you for help.

The enthalpy and entropy integrals are here at 4 page (on the top of the site) in this pdf link

http://webpages.sdsmt.edu/~ddixon/Departure_Fxns.pdf

I don't know the way from integral to the result of enthalpy and entropy integrals but the result I have to get after integration is at 5 page of pdf link in frames I wrote. Those results are also at that page : http://en.wikipedia.org/wiki/Departure_function. I need to know how to solve those integrals to get the results shown at 5 page of pdf link in frames.
 
Mathematics news on Phys.org
Not sure what you are asking.

Please confirm you are trying to derive analytically

equation 4.4-29 from equation 4.4-27

and

equation 4.4-30 from equation 4.4-28
 
yes from 4.4-22 enthalpy integral I need to get 4.4-29 result after integration, and from 4.4-23 entropy integral I need to get 4.4-30 result after integration. In the integration I can use Z=PV/RT and B=Pb/RT. I have no idea how to integrate those integrals so please help me, thank you
 
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation has no solutions with positive integers if It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Thread 'Imaginary Pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
Back
Top