Chapter 5: Entropy as a function of temperature and volume

[@roshanjoshi8069]

Greatly explained professor.

[@AndrewPaluch]

Excellent!

[@mayhemtownz4589]

I'd just like to start by saying that your explanations for representing thermodynamic properties as functions of others is spectacular and has been greatly useful. I had a more general question about the nature of these quantities. Say I were to explore the relationship between two quantities, e.g. volume and entropy, for a specific real world material. What quantities (e.g. Cv, Cp, T, P, etc.) would be required to do so? Is such an endeavor even possible using the kind of derivations outlined in this video or would I have to explore other aspects of thermodynamic?

[@AndrewPaluch]

As seen in the posted notes, (dS/dV) at constant T is equivalent to (dP/dT) at constant V. This term you could evaluate using know PVT data, such as an equation of state. Does that help?

[@alleinloisseespinoza4417]

Hi! Our prof asks us to derive an expression of Entropy in terms of PTV. Would it have the same process?

[@AndrewPaluch]

Here we are dealing with pure component systems. For a single component, single phase system, we have two degrees of freedom. So you would choose just T and P, or T and V to serve as your independent variables. What I expect your prof is asking is for an expression for the differential of S which only contains the variables P, T and V (and Cp and Cv). Cp and Cv are readily available for an ideal gas, and for a real fluid are taken care of when we introduce residual properties. I have a video posted for the case of T and P, and T and V which should help you.

[@arpitapuniya8853]

Sir , where are you from 🤔 , this video was very useful to me, thank you 🙂

[@AndrewPaluch]

I am a faculty at Miami University in the United States. We are located in southwest Ohio. Greetings!

[@naveenjadonvlogs95]

Nice

[@AndrewPaluch]

I am very happy that you liked it and found it useful.

[@naveenjadonvlogs95]

I am from india

[@AndrewPaluch]

Excellent! I am happy to have a friend in India.