Chapter 7.6, Problem 7.51QAP

Carbon disulfide and carbon monoxide are produced when carbon is heated with sulfur dioxide.
$\text{5C}\left(s\right){\text{+2SO}}_{\text{2}}\left(g\right)\stackrel{\Delta }{\to }{\text{CS}}_{\text{2}}\left(l\right)\text{+4Co}\left(g\right)$

a. How many moles of C are needed to react with 0.500 mole of ${\text{SO}}_{\text{2}}$ ?
b. How many moles of CO are produced when 1.2 moles of C reacts?
c. How many moles of ${\text{SO}}_{\text{2}}$ are needed to produce 0.50 mole of ${\text{CS}}_{\text{2}}$ ?
d. How many moles of ${\text{CS}}_{\text{2}}$ are produced when 2.5 moles of C reacts?