Question

(1) Refer to the Assmt 15 solution and HO #31. ln(?c) = -5.596 (1 - Nc)² + 5.113 (a) Use the Gibbs-Duhem equation to derive an expression for ln(?Fe) as a function of NFe . (b) Use your result to calculate ?Fe and aFe at carbon saturation: Nc = 0.206 NFe = 0.794 Hint: 0.5 < aFe < 0.8 $\ln \gamma_{Fe} = \int_{\gamma_{Fe}=1}^{\gamma_{Fe}} dln \gamma_{Fe} = - \int_{N_c=0}^{N_c} \frac{N_c}{(1-N_c)} dln \gamma_c$

          (1) Refer to the Assmt 15 solution and HO #31.
ln(?c) = -5.596 (1 - Nc)² + 5.113
(a) Use the Gibbs-Duhem equation to derive an expression for ln(?Fe) as a function of NFe .
(b) Use your result to calculate ?Fe and aFe at carbon saturation: Nc = 0.206  NFe = 0.794
Hint: 0.5 < aFe < 0.8
$\ln \gamma_{Fe} = \int_{\gamma_{Fe}=1}^{\gamma_{Fe}} dln \gamma_{Fe} = - \int_{N_c=0}^{N_c} \frac{N_c}{(1-N_c)} dln \gamma_c$

(1) Refer to the Assmt 15 solution and HO #31.
ln(?c) = -5.596 (1 - Nc)² + 5.113
(a) Use the Gibbs-Duhem equation to derive an expression for ln(?Fe) as a function of NFe .
(b) Use your result to calculate ?Fe and aFe at carbon saturation: Nc = 0.206 NFe = 0.794
Hint: 0.5 < aFe < 0.8
lnγFe = ∫γFe=1^γFe dln γFe = - ∫Nc=0^Nc(Nc)/((1-Nc)) dln

Added by Alexis S.

Chemistry: Structure and Properties

Nivaldo Tro 2nd Edition

Instant Answer

Solved by Expert Hast Aggarwal

01/22/2022

Step 1

Step 1: Use the Gibbs-Duhem equation, which states that for a binary system at constant temperature and pressure, the following relationship holds: \[x_1d\ln(Y_1) + x_2d\ln(Y_2) = 0\] where $x_1$ and $x_2$ are the mole fractions of components 1 and 2, and Show more…

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Refer to the Assmt 15 solution and HO #31. ln(Yc)=-5.596(1-Nc)^2+ 5.113 (a) Use the Gibbs-Duhem equation to derive an expression for ln(YFe) as a function of NFe (b) Use your result to calculate YFe and aFe at carbon saturation: Nc = 0.206, NFe = 0.794 Hint: 0.5 < aFe < 0.8