Question

2. For the Berthelot Equation of State (see #5 on Phy 372 home page): (a) Expand P in terms of v and T, i.e. start with dP and express it in terms of dv and dT. (Here v is the molar specific volume.) Rewrite the expansion with the coefficients evaluated. These coefficients will be functions of v and (b) Ú (c) Write an expression for β. The result will again be a function of v and se the cyclic relation to find an expression for TP (d) Show that, if b 0, then 1/T which This result makes it clear that if both b and a are zero, then β is the value for the ideal g as

Answer 1

o〉 ßerthe lot E9uati on-of State is.giver by V-b espanding it in terms o v T ST L Vb 2 (V-b)

We wilt stat with in terms V LT terms p &T SP SP sv: 'svL 뷘sv HH.'.. 뇨.sr Taking ike ter o one side; r SVT IT SVIT Now , since釦, Sv, kse are Yecipoua The re fore, SP ST ST

c> S i givenr first, we calculate Sv, fom et oained in 30m Sincewe know , SP Therefore, subst. taỦyLL obtained ,n Pa of this question hee, 24- RT

d〉 we have t put b o equation ーム 2 This is the deal condit f ideal 7 as.