Hello Yatendra

Yes, there are relations for this and you'll find a summary in the book

   B E Poling, J M Prausnitz, J P O'Connell:

   The Properties of Gases and Liquids;

   McGraw-Hill, New York, 5th ed., 2000, ISBN 0-07-011682-2

Refer to chapter 2. Let me know if you have difficulties to find the book. I could send you copies of these pages.

Regards

Nikolaus 

So nice of you for this information.  However, I do not a way to reach this reference I would appreciate if you send me the relevant pages of this book. 

Thanks

Y S Jain

Dear Dr Nikolaus,  

I could find a source to download the pages.   Thanks a lot.  Need not to take trouble for sending the pages I requested. 

Yatendra.

Dear Doctor Nikolaus,

see:

J.O. Hirschfelder, Ch. F. Curtiss, R. B. Bird

Molecular theory of gases and liquids, 1954,

Chapter 4. Equation of state of dense gases and liquids

paragraph 1 A Law of corresponding states

and 

paragraph 1 C Theoretical derivation of the law of corresponding states for gases consisting of spherical nonpolar molecules

I. H. Umrzakov

Dear Dr. Umirzakov Ikhtier

I would greatly appreciate if you could send me the soft scanned copy of Chapter 4 Equation of State of Dense gases and liquids from the book that you have mentioned above.  Either you can attach the file here or sent to me by email : profysjainATgmail.com

Dear Dr. Ikhtier

Thank for your hint i received this morning.

I'll will order the book from the University library and inspect  the chapters you mentioned.

Regards

Nikolaus Hannoschöck

I think the opinion of Nikolaus is very useful. If you have difficulties to get a reference, you can use the classical relation (Gouldberg´s rule) Tc=2/3 TB as a rough estimation.

@ Dr Lago.   It sounds interesting.  Thanks.  However, can you please give me full reference of this rule.  Somehow I could not get any document for this from Internet. 

Thanks

@ Yatendra & S. Lago

I fully agree with the remark of S. Lago.

The reference for the Guldman rule is:

C. M. Guldberg: 

Über die Gesetze der Molekularvolumina und Siedepunkte.

Zeitschrift für Physikalische Chemie, Vol. 5, 1890, p. 374--384

https://archive.org/stream/zeitschriftfurp02hoffgoog#page/n6/mode/2up

Regards

Nikolaus

https://archive.org/stream/zeitschriftfurp02hoffgoog#page/n6/mode/2up

Thanks DR. Nikolaus, 

I could not open the link that you have given.  However, it helped me to reach the Guldenberg-Guye rule  from a very recent (2013) book whose two pages 119-120 I could open.  The rule derived from experimental data reads  $T_B/T_c  = 0.55  to 0.65$.  While this will be of great help, I was actually looking for if there is any analytical theoretical relation.

Regards   Y S Jain.

Dear colleagues,

As far as I know, Guldberg rule is purely empirical as Trouton´s rule (Ostwald´s contemporary physicochemists were so!).

I quote the reference provided by Dr.Hannoschöck as reference 31 of my paper in MP (Gámez, Francisco; Lago, Santiago; Garzón, Benito; Merkling, Patrick J. and Vega, Carlos(2008)'Vapour-liquid equilibrium of fluids composed by oblate molecules',Molecular Physics,106:11,1331 — 1339) where I  wrote:

G.Z. Guldberg, Z. Phys. Chem. 5, 374 (1890). A more

accessible reference is R. Digilov and M. Reiner,

Eur. J. Phys. 25, 15 (2004).

 I am afraid that I cannot say more. Best regards,

Santiago

I just realized that the mention to Guldberg rule appears in Wikipedia(!!!) when you write correctly his name (Cato Guldberg). Sorry by my previous misprints!

Thanks Dr Lago, 

Your information further helped me to find the place where English translation of

Guldberg's article is published.    Studies concerning affinity

P. Waage and C. M. Gulberg

J. Chem. Educ., 1986, 63 (12), p 1044

DOI: 10.1021/ed063p1044

The answer depends on what you exactly want:

If you ask for a generally valid, unique relation between Tb and Tc, the answer is no: There are substance pairs which, at some temperature, have the same vapour pressure, but their critical points differ. The simplest equation of state for real fluids that one can construct has got two parameters. Therefore one needs two pieces of information to determine them (e.g., Tb and the liquid molar volume) to determine them. Once the parameters are known, the critical point can be predicted.

If you are looking at a homologous series of substances, or if you somehow know that  the substances obey Trouton's rule, the answer is yes. There exist correlations for the higher alkanes, e.g., the correlation of Tsonopoulos.

@ Ulrich Deiters, S. Lago,  Nikolaus Hannoschöck,  Umirzakov Ikhtier.

Dear all,   Your  interaction and information in relation to my question has been greatly useful and encouraging.   I have worked out a simple and interesting theory which renders analytic relations for most of the rules of corresponding states such as Gudberg's rule, Trouton's rule, etc.   Naturally, this interaction deserves due acknowledgement and appreciation on my part.  I am going to present this theory in a national conference in my invited talk.  In order to continue my fruitful interaction with you I would like to send the pdf copy of my paper that would be appearing the proceedings of the conference.  I am sure you would like read this interesting theory, hence please send me a word to my email [profysjain(AT)gmail.com].   Hope you would find it interesting and would further help me by your valuable comments.   

Hello Every Body

Microscopic theory of simple fluids recently published by me has the following reference.

Y S Jain, Journal of Molecular Liquids 249 (2018) 688–701