Styrene $($S$)($MW $104)$ and butadiene $($B$)($MW$-54)$ are copolymerized in an isothermar batch feactor. The $27$ m 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$/$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 find these concentrations. Include all known variables in the differential equations, and calculate the initial concentrations of B and S at time t$-0$