Acetylene $(C_2{H}_2)$ is hydrogenated to form ethane $(C_2{H}_6).$ The feed to the reactor contains $1\mathrm{.}50$ mol$\frac{H_2}{m}ol{C}_2{H}_2.$

a$.$ Calculate the stoichiometric reactant ratio $(mol{H}_2$ react $\frac{?}{mol{C}_2{H}_2}$ react$)$ and the yield ratio $(kmol{C}_2{H}_6$ formed $\frac{?}{kmol{H}_2}$ react$).$

b$.$ Determine the limiting reactant and calculate the percentage by which the other reactant is in excess.

c$.$ Calculate the mass feed rate of hydrogen $(k\frac{g}{s})$ required to produce $4{10}^6$ tons of ethane per year assuming that the reaction goes to completion and that the process operates for $24$ hours a day, $300$ days a year.