$$Black powder$$ is a mixture of potassium nitrate, carbon and sulfur. The mixture reacts as shown.

$4$KNO$3($s$)+7$C$($s$)+$ S$($s$)3$CO$2($g$)+3$CO$($g$)+2$N$2($g$)+$ K$2$S$($s$)+$ K$2$CO$3($s$)$

A sealed tube containing black powder has a volume of $10\mathrm{.}0$ cm$3$

$.$ When all of the black powder

reacts, the reaction causes a pressure of $2106$Pa and a temperature of $2500$K$.$

The volume of the K$2$CO$3$ and K$2$S produced can be ignored.

How many moles of KNO$3$ are contained in the sealed tube?