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Using Matlab - Using Matlab to Solve Systems of Linear...

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Using Matlab to Solve Systems of Linear Equations: F&R Example 4.5-2 Given the following system: Calculate all of the stream flow rates (m 1 to m 6 ), plus the recycle ratio: 1. Write all the balance equations: Crystals account for 95% of mass of filter cake: 4 4 5 4 5 0.95( ) 19 m m m m m (1) Overall K Balance: 4 5 0.333(4500) 0.364 m m (2) Overall Mass Balance: 2 4 5 4500 m m m (3) Crystallizer Mass Balance: 3 4 5 6 m m m m (4) Crystallizer W Balance: 3 5 6 0.506 0.636 0.636 m m m (5) Mixing Point Balance: 6 1 4500 m m (6) 2. Put all the equations into matrix format: 1 2 3 4 5 6 0 0 0 1 19 0 0 0 0 0 1 0.364 0 1500 0 1 0 1 1 0 4500 0 0 1 1 1 1 0 0 0 0.506 0 0.636 0.636 0 1 0 0 0 0 1 4500 X A B m m m m m m 
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