Chapter#4_practice problems
MATSCI 204 Thermodynamics and Phase Equilibria Winter 2013 Chapter #4 Practice problems Problem: 1-Show that for any extensive property Ω of a binary system A-B: d ("#mix ) "#B ,mix = "#mix + (1$ x B ) dx B 2- If "#mix has the form shown in the figure, use a geometric interpretation of question 1 to indicate in the figure "#B ,mix and "#A ,mix of the solution at point P.
! !
!
!
3-The excess Gibbs free-energy of mixing of Al-Zn alloys is well-represented by the following formula: $ T ' XS "Gmix = x Al x Zn (9600x Zn + 13200x Al )&1# (J/mol) ) % 4000 ( XS a-Find "Smix and "Smix as a function of xAl b-Find "H mix as a function of xAl !
! !
!
1
c-Find "H Al,mix d-Calculate γAl and aAl as a function of xAl at 500K e-Plot aAl as a function of xAl and indicate in your plot the regime where Raoult’s and Henry’s Law apply. Assuming that the solution is Henrian for xAl
! !
!
!
3-The excess Gibbs free-energy of mixing of Al-Zn alloys is well-represented by the following formula: $ T ' XS "Gmix = x Al x Zn (9600x Zn + 13200x Al )&1# (J/mol) ) % 4000 ( XS a-Find "Smix and "Smix as a function of xAl b-Find "H mix as a function of xAl !
! !
!
1
c-Find "H Al,mix d-Calculate γAl and aAl as a function of xAl at 500K e-Plot aAl as a function of xAl and indicate in your plot the regime where Raoult’s and Henry’s Law apply. Assuming that the solution is Henrian for xAl
