Styrene $($S$)($MW $=104)$ and butadiene $($B$)($MW $-54)$ are copolymerized in anisothermal batch icactor. The $27$ m$\text{'}$ reactor is charged with $2200$ kg styrene and $5000$ kg butadiene.The polymerization is first order in A and first order in B$,$ where k $=0\mathrm{.}036$ m$\text{'}/$kmol hr$.$ The reaction is S $+3\mathrm{.}2$B Polymer. Constant density is assumed. You are asked to find the concentrations of S and B after t $-10$ hours. Set up BUT DO NOT SOLVE the differential equations required to findthese concentrations. Include all known variables in the differential equations, and calculate the initialconcentrations of B and S at time t $=0.$