It is proposed to make a low alloy tungsten$-$nickel steel containing $1\%W$ and $1\%$ Ni while

the carbon content should be $0\mathrm{.}1\%($all mass percentages$).$ Using the following data you

are required to calculate the amount of NiO and $W{O}_3$ the slag will contain $($in mole fraction

$N{i}_{\%}+O_{\%},=$NiO$(e),G_{1600}^0=,+135620\frac{J}{m}ol$

$W_{\%}+3Q_{\%},=W{O}_3(l),G_{1600}^o=,+55480\frac{J}{m}ol$

$C(\%)+O_{\%},CO(g),logK=\frac{1168}{(T)}+2\mathrm{.}07$

You can assume $P_{co}=1\mathrm{.}0$ atm The slag is very basic $(B>3\mathrm{.}0)$ and its initial composition is

$x_{\text{c}\text{a}\text{O}}=0\mathrm{.}6,x_{Si{O}_2}=0\mathrm{.}19$ and $x_{\text{F}\text{e}\text{O}}=0\mathrm{.}21.$ Activity coefficients of NiO and $W{O}_3$ in the sla

are ${10}^{-4}$ and $2\mathrm{.}56{10}^{-6}$ respectively. Comment on the results. Assume Henry's law is

obeved by dilute components in steel.