MATLS 2B03 Lecture Notes - Lecture 12: Helmholtz Equation, Ideal Gas, Thermal Expansion

• School: McMaster University
• Department: Materials Science and Engineering
• Course: MATLS 2B03
• Professor: Dmitri Malakhov

Document Summary

Q = 0 p, v, t are variable. Since q=0, u = -w = -ncv(tb ta) = cp/cv = 5/3 for monatomic ideal gas. Work = nrt*ln(vf/vi) = (p2v2 p1v1)/1- . T = 0, u = 0 therefore q = w. H = 0 because h is a function of t. Monatomic gas: cv = 3/2 r, cp = 5/2 r. Diatomic gas: cv = 5/2 r, cp = 7/2 r. H = u + (pv) = u + (p v- pv) H = q = ncp(tb ta) for u, ncvdt for s. I = (2g/2ni) at constant t, p, and ni. No work done, since w = p v. Q = u + w = ncv(tb ta) + nr(tb ta) Intensive - independent of the quantity of material [t, p, Cp and cv], and all specific and molar properties. Extensive - directly proportional to the quantity of material [v, s, u, h, etc.