In this question, we need to find how many moles of Carbon are needed to react with the given moles of SO2, first thing we need to do is set up the properly balanced equation:
5C + 2 SO2 -> CS2 + 4 CO
We have:
7.24 moles of SO2
According to the concepts of molar ratio, between C and SO2 we have a molar ratio of 5:2, which means 5 moles of C are needed to react with 2 moles of SO2, but what if we have 7.24 moles of SO2:
5C = 2 SO2
x C = 7.24 SO2
x = 18.1 moles of C are needed to react with 7.24 moles SO2