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 to form TiC as soon as possible. For every $6000J$ exothermally produced

$2$

it will take $3$ minutes. Which one of the above elements will we have to use if the process temperature is $927C?$

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

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

$3Cr+2C=C{r}_3{C}_2,G=-87020-16\mathrm{.}5T$