Based on problem IX.7 in \"Chemical Thermodynamics of Materials by C.H.P. Lupis.\"\n a). Calculate the solubility of nitrogen in pure liquid iron under 1 atm nitrogen at 1600°C.\n b) Find the solubility of nitrogen in an iron alloy containing 10 wt% Cr, 4 wt% V, 2 wt% Si,\n and 0.5 wt% C at 1600°C.\n Data\n $\frac{1}{2}N_2 (g) \rightarrow [N]_{wt\% \text{ in Fe}}$
$\Delta G^0_{rxn} = 3600 + 23.9T$ (J)
$e_N^N = 0$
$e_N^{Cr} = -0.18$
$e_N^V = -0.072$
$e_N^{Si} = 0.09$
$e_N^C = -0.089$