Tetraphosphorus trisulfide, \(\mathrm{P}_{4} \mathrm{~S}_{3}\), is used in the
hesds of wooden matches. This material is manufactured by the heating of a
mixtare of red phosphorus and sulfur.
$$
8 \mathrm{P}_{4}(s)+3 \mathrm{~S}_{\mathrm{w}}(s) \longrightarrow 8
\mathrm{P}_{4} \mathrm{~S}_{3}(s)
$$
What is the limiting reactant when each of the following sets of quantities of
reactants is mixed?
(a) \(4.4 \mathrm{~mol} \mathrm{P}_{4}\) and \(1.1 \mathrm{~mol}
\mathrm{~S}_{\mathrm{s}}\)
(b) \(0.20 \mathrm{~mol} \mathrm{P}_{4}\) and \(0.10 \mathrm{~mol}
\mathrm{~S}_{\mathrm{s}}\)
(c) \(0.75 \mathrm{~mol} \mathrm{P}_{4}\) and \(0.28 \mathrm{~mol}
\mathrm{~S}_{\mathrm{s}}\)