(4) [20 pt] Gilat problem 4.41. Solve the linear system of equations by Gaussian elimination by hand. 4.41 A certain chemical engineering process application (see figure) involves three chemical reactors A,B, and C. At steady state, the concentrations of a particular species n in each reactor has the values xA,xB, and xC in units of mg/m3. If the flow rates from reactor i(A,B, or C ) to reactor j(A,B, or C) is denoted as Qij (units of m3/s ), then the mass flow rate of species n from reactor i to reactor j is xiQij (units of mg/s ). Since this chemical species is conserved (i.e., neither produced nor destroyed) conservation of mass (of the species) for each reactor must hold. For the process shown in the figure, QAB=40m3/s,QAC=80m3/s,QBA=60m3/s, QBC=20m3/s,QCout=150m3/s,mCin=195mg/s, and mAin=1320mg/s. Write down the mass continuity equations for each reactor and solve them to find the concentrations xA,xB, and xC in each reactor. (4) [20 pt] Gilat problem 4.41. Solve the linear system of equations by Gaussian elimination by hand. 4.41 A certain chemical engineering process application (see figure) involves three chemical reactors A,B, and C. At steady state, the concentrations of a particular species n in each reactor has the values xA,xB, and xC in units of mg/m3. If the flow rates from reactor i(A,B, or C ) to reactor j(A,B, or C) is denoted as Qij (units of m3/s ), then the mass flow rate of species n from reactor i to reactor j is xiQij (units of mg/s ). Since this chemical species is conserved (i.e., neither produced nor destroyed) conservation of mass (of the species) for each reactor must hold. For the process shown in the figure, QAB=40m3/s,QAC=80m3/s,QBA=60m3/s, QBC=20m3/s,QCout=150m3/s,mCin=195mg/s, and mAin=1320mg/s. Write down the mass continuity equations for each reactor and solve them to find the concentrations xA,xB, and xC in each reactor