Balance the following equations.

a. \(\mathrm{Cr}(s)+\mathrm{S}_{8}(s) \longrightarrow \mathrm{Cr}_{2} \mathrm{~S}_{3}(s)\)

b. \(\mathrm{NaHCO}_{3}(s) \xrightarrow{\text { Heat }} \mathrm{Na}_{2} \mathrm{CO}_{3}(s)+\mathrm{CO}_{2}(g)+\mathrm{H}_{2} \mathrm{O}(g)\)

c. \(\mathrm{KClO}_{3}(s) \xrightarrow{\text { Heat }} \mathrm{KCl}(s)+\mathrm{O}_{2}(g)\)

d. \(\mathrm{Eu}(s)+\mathrm{HF}(g) \longrightarrow \mathrm{EuF}_{3}(s)+\mathrm{H}_{2}(g)\)

e. \(\mathrm{C}_{6} \mathrm{H}_{6}(l)+\mathrm{O}_{2}(g) \longrightarrow \mathrm{CO}_{2}(g)+\mathrm{H}_{2} \mathrm{O}(g)\)