Calculate all liquid and vapor flows coming out of the stages in the constant flow distillation column consisting of $9$ stages, the information given below, using MATLAB.

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All stages are adiabatic except stages $1,6$ and $9$

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$100$ moles of feed per hour, $50\%$ of which is steam, enters the $3$rd stage.

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There is no steam leaving the first stage $($condenser$).$

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In the first stage, the reflux rate is $3.$

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The velocities of the flows leaving the first stage, the $6$th stage and the $9$th stage are $30,40$ and $30$ mol$/$h$,$ respectively.

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Half of the liquid goes from the $4$th stage to the $7$th stage.