Before you turn this problem in, make sure everything runs as expected. First, restart the kernel (in the menubar, select Kernel\(\rightarrow\)Restart) and then run all cells (in the menubar, select Cell\(\rightarrow\)Run All).

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linear algebra and mass balances

Xylene, styrene, toluene and benzene are separated in the following array of distillation columns. The total molar flow in to the first column is 70 kg-mol/min. The fractions provided are in mole%.

Your goal is to determine the molar flow rates labeled \(D_1, B_1, D_2\) and \(B_2\). You can do this by developing a mole balance on each species, which should lead to 4 linear equations. Use np.linalg.solve to find these molar flow rates.

Show using linear algebra that your solution is valid.

When you are done, download a PDF and turn it in on Canvas. Make sure to save your notebook, then run this cell and click on the download link.

%run ~/s25-06623/s25.py
%pdf