Consider the problem wherein a drug is being extracted from an organic phase into two aqueous...

 

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Consider the problem wherein a drug is being extracted from an organic phase into two aqueous phases. The volumetric flow rates of the two organic phases are denoted by H and K; and the volumetric flow rates of the two aqueous phases are denoted by L and M. Four different experiments are run by varying H, K, L, and M simultaneously, as tabulated below, in order to achieve the same exit concentration of the drug, y, w, x, and z, respectively. The total mass of solute entering each experiment is given by F. Estimate the exit concentrations of the drug in the four liquid streams. The governing equation for mass distribution of the drug between the four liquid streams is shown below in terms of the total solute mass entering each experiment. Hy + Kw + Lx + Mz = F Trial H(L/min) K (L/min) L (L/min) M (L/min) F (Total Mass in g) 1 100 50 25 10 2600 2 20 200 150 1 7710 3 30 80 40 3260 4 35 15 20 100 1875 a) Find y, w, x and z using Simple Gauss Elimination b) Gauss-Jordan Reduction Method c) The Jacobi Method (First manually calculate two iteration using initial guess of y=5, w= 10, x=25, z=6 then Write a code for it and copy paste your code and results using the same initial guess) d) The Gauss-Seidel Method (First manually calculate two iteration using initial guess of y=5, w= 10, x=25, z=6 then Write a code for it and copy paste your code and results using the same initial guess) Consider the problem wherein a drug is being extracted from an organic phase into two aqueous phases. The volumetric flow rates of the two organic phases are denoted by H and K; and the volumetric flow rates of the two aqueous phases are denoted by L and M. Four different experiments are run by varying H, K, L, and M simultaneously, as tabulated below, in order to achieve the same exit concentration of the drug, y, w, x, and z, respectively. The total mass of solute entering each experiment is given by F. Estimate the exit concentrations of the drug in the four liquid streams. The governing equation for mass distribution of the drug between the four liquid streams is shown below in terms of the total solute mass entering each experiment. Hy + Kw + Lx + Mz = F Trial H(L/min) K (L/min) L (L/min) M (L/min) F (Total Mass in g) 1 100 50 25 10 2600 2 20 200 150 1 7710 3 30 80 40 3260 4 35 15 20 100 1875 a) Find y, w, x and z using Simple Gauss Elimination b) Gauss-Jordan Reduction Method c) The Jacobi Method (First manually calculate two iteration using initial guess of y=5, w= 10, x=25, z=6 then Write a code for it and copy paste your code and results using the same initial guess) d) The Gauss-Seidel Method (First manually calculate two iteration using initial guess of y=5, w= 10, x=25, z=6 then Write a code for it and copy paste your code and results using the same initial guess)