# 2.* [10 points] Using the extensivity property of the entropy, find the fundamental equation for the intensive quantity s - S/N in both differential and integrated forms

Question

5.10. Find the fundamental equation for the intensive quantity eˆ = E/V in differential form. Also give an expression for the pressure P in terms of eˆ and sˆ = S/V . Define ρ = v−1 = N/V .

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