Question

(1) (a) Use the equation for the first derivative of the relative integral molar property of a regular solution; $\frac{\partial G^M}{\partial N_B}$; to derive the equation for the equilibrium T as a function of the equilibrium composition of the phase boundary line, i.e., T = function of $N_B$, $\Omega$ and constants only. (b) The regular solution has $\Omega = +15,000$ J/mole. Evaluate numerical values for the equilibrium T at $N_B = 0.2$, $0.3$, and $0.48$. Note symmetry around $N_B = 0.5$ (c) Calculate the activity of A ($a_A$), and the activity of B ($a_B$) at $N_B = 0.2$ and its equilibrium T.

          (1)
(a) Use the equation for the first derivative of the relative integral molar property
of a regular solution;
$\frac{\partial G^M}{\partial N_B}$;
to derive the equation for the equilibrium T as a function of the equilibrium
composition of the phase boundary line, i.e., T = function of $N_B$, $\Omega$ and
constants only.
(b) The regular solution has $\Omega = +15,000$ J/mole.
Evaluate numerical values for the equilibrium T at $N_B = 0.2$, $0.3$, and $0.48$.
Note symmetry around $N_B = 0.5$
(c) Calculate the activity of A ($a_A$), and the activity of B ($a_B$) at $N_B = 0.2$ and
its equilibrium T.

(1)
(a) Use the equation for the first derivative of the relative integral molar property
of a regular solution;
(∂ G^M)/(∂ NB);
to derive the equation for the equilibrium T as a function of the equilibrium
composition of the phase boundary line, i.e., T = function of NB, Ω and
constants only.
(b) The regular solution has Ω = +15,000 J/mole.
Evaluate numerical values for the equilibrium T at NB = 0.2, 0.3, and 0.48.
Note symmetry around NB = 0.5
(c) Calculate the activity of A (aA), and the activity of B (aB) at NB = 0.2 and
its equilibrium T.

Added by Brittney H.

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