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So in this video we are going to talk about internal material balances on a distillation column for a special circumstance. One in which we have some kind of side stream that we are going to pull off with a different kind of composition than our distillate and our bottoms. So lets create an example problem and we will work through this. So here we have a problem where we have methanol and water being fed into a distillation column. You can read the details of the problem statement and go along as we go through the problem, but the main point is that we are trying to figure out where the optimal stage is to pull off a side stream with a certain composition that is different from the distillate and the bottoms. So first things first, we should draw a diagram and label it appropriately. So here is our information for our feed, 500 kmol/hr, its a 50:50 mixture and 50% of it enters as a vapor and 50% of it enters as a liquid. Now i will go ahead and write our duties for our condenser and