A $100$T ladle of steel, at $16000$C$,$after partial deoxidation, contains $0\mathrm{.}03\%$ oxygen. Find the minimum theoretical weight of aluminum to reduce the oxygen content to $0\mathrm{.}001\%.$Assume equilibrium and ideal behavior with $1\%$ as std$.$ state.

Al$2$O$3($s$)=2$Al$(\%)+3$O$(\%)$ G$0=291600-94\mathrm{.}47$T$($cal$)$ logK$=-63700/$T$+20\mathrm{.}67$