In a metallurgical process Ti reacts with C to form TiC with G $=-183000$

$+11\mathrm{.}4$T$.$ V$,$ Si and Cr are added separately. In the final process we want

$3$to form TiC as soon as possible. For every $6000$ J exothermally produced it will take $3$ minutes. Which one of the above elements will we have to

use if the process temperature is $927\backslash$deg C$?$

V $+$ C $=$ VC $$G $=83600+6\mathrm{.}6$T

Si $+$ C $=$ SiC $$G $=53400+24\mathrm{.}2$T

$3$Cr $+2$C $=$ Cr$3$C$2$G $=8702016\mathrm{.}5$T