Code using Python HW6_3 For a system of nine interconnected tanks (shown at right), the massbalance equations are: r 01 c 01 + r 41 c 4 r 02 c 02 + r 12 c 1 + r 52 c 5 r 03 c 03 + r 23 c 2 r 04 c 04 + r 74 c 7 r 15 c 1 + r 45 c 4 r 06 c 06 + r 26 c 2 + r 36 c 3 r 07 c 07 + r 87 c 8 r 08 c 08 + r 58 c 5 + r 48 c 4 r 59 c 5 + r 69 c 6 + r 89 c 8 = ( r 12 + r 15 ) c 1 = ( r 23 + r 26 ) c 2 = r 36 c 3 = ( r 41 + r 48 + r 45 ) c 4 = ( r 52 + r 58 + r 59 ) c 5 = r 69 c 6 = r 74 c 7 = ( r 87 + r 89 ) c 8 = r 9 The concentration of chemical inflow into tank T i is designated c i and the initial concentration in tank T i is designated c 0 i . The flow rate from tank T i to T j is designated r ij . Furthermore, the total flow into each tank must equal the flow out, r (from tank 9 ). Given initial concentrations: c 01 = 1 , c 02 = 2 , c 03 = 1 , c 04 = 2 , c 06 = 1 , c 07 = 1 and c 08 = 1 , in g / L given flow rate between tanks: r 12 = 6 , r 15 = 2 , r 23 = 5 , r 26 = 5 , r 36 = 8 , r 41 = 5 , r 45 = 1 , r 48 = 1 , r 52 = 1 , r 58 = 2 , r 59 = 1 , r 69 = 15 , r 74 = 4 , r 87 = 2 , r 89 = 3 , in L / min and given external flow rates (i.e., inflow into the tanks from outside): r 01 = 3 , r 02 = 3 , r 03 = 3 , r 04 = 3 , r 06 = 2 , r 07 = 2 , r 08 = 3 , in L / min Note: r = r 01 + r 02 + r 03 + r 04 + r 06 + r 07 + r 08 With these given parameters we can solve for the concentrations in the tanks. Write a PYTHON code to solve for these concentrations using Gauss-Seidel, to an accuracy of 5 sig figs. Use print statement to print the final answer for the concentrations..

1. Code using Python
HW6_3 For a system of nine interconnected tanks (shown at right), the massbalance equations
are: r 01 c 01 + r 41 c 4 r 02 c 02 + r 12 c 1 + r 52 c 5 r 03 c 03 + r 23 c 2 r 04 c 04 + r 74 c 7 r 15
c 1 + r 45 c 4 r 06 c 06 + r 26 c 2 + r 36 c 3 r 07 c 07 + r 87 c 8 r 08 c 08 + r 58 c 5 + r 48 c 4 r 59
c 5 + r 69 c 6 + r 89 c 8 = ( r 12 + r 15 ) c 1 = ( r 23 + r 26 ) c 2 = r 36 c 3 = ( r 41 + r 48 + r 45 )
c 4 = ( r 52 + r 58 + r 59 ) c 5 = r 69 c 6 = r 74 c 7 = ( r 87 + r 89 ) c 8 = r 9 The concentration of
chemical inflow into tank T i is designated c i and the initial concentration in tank T i is
designated c 0 i . The flow rate from tank T i to T j is designated r ij . Furthermore, the total flow
into each tank must equal the flow out, r (from tank 9 ). Given initial concentrations: c 01 = 1 , c
02 = 2 , c 03 = 1 , c 04 = 2 , c 06 = 1 , c 07 = 1 and c 08 = 1 , in g / L given flow rate between
tanks: r 12 = 6 , r 15 = 2 , r 23 = 5 , r 26 = 5 , r 36 = 8 , r 41 = 5 , r 45 = 1 , r 48 = 1 , r 52 = 1 , r
58 = 2 , r 59 = 1 , r 69 = 15 , r 74 = 4 , r 87 = 2 , r 89 = 3 , in L / min and given external flow
rates (i.e., inflow into the tanks from outside): r 01 = 3 , r 02 = 3 , r 03 = 3 , r 04 = 3 , r 06 = 2 , r
07 = 2 , r 08 = 3 , in L / min Note: r = r 01 + r 02 + r 03 + r 04 + r 06 + r 07 + r 08 With these
given parameters we can solve for the concentrations in the tanks. Write a PYTHON code to
solve for these concentrations using Gauss-Seidel, to an accuracy of 5 sig figs. Use print
statement to print the final answer for the concentrations.