Find du= du CT,V) in terms of dU ( measurable properties CP-V-T) Show the mathematical derivation.

This problem is (7.12) from a book  "Thermodynamics and Statistical Mechanics An Integrated Approach by M. Scott Shell"

(dV 2. The derivative dT P is tedious to calculate by implicit differentiation of an equation of state such as Peng-Robinson. Show that calculus permits us to find the derivative in terms of derivatives of pressure, which are easy to find. Provide the formula for (dv for the Peng- Robinson equation of state. dT

You have a bottle of water, still sealed. You open the bottle. Immediately following, is the fugacity of the water in the liquid greater than, less than, or the same as the water vapor present in the air in the room? Suppose you leave the cap off and let it sit there over the weekend. How do the fugacities now compare?

:) Using the ideal gas model, show that () (), ӘР ЭТ T V =-1

The second virial coefficient is related to pair-wise potential function via B(T) = 2πNA (1- e-/kr) r²dr. Use the hard sphere pairwise potential function to find B(T).

How they find z value. Show that as well as explain Please explain r and teta too.

choose the correct answer

2 Find Caulap), in terms of measurable proferbies (P-V-T). Show the Mathematical derivation

Suppose that S is regarded as a function of T and p, show that TdS= CvdT− T(∂P/∂T)v dV.