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time to derive the questions that we need when dealing with batch whys adsorption in a column this is our breakthrough curve the concentration changes with time and lets choose a random time T and author of how much has been accumulated in the outlet so how much has come out so far and how much has accumulated inside the column now if you want to figure out how much has come out you need to take the flow times the concentration times the time but our concentration changes all the time so you cant just take C times T but instead you tonight need to take the integral of C DT so f times the integral of C DT from time 0 to time T thats the amount of material thats come out now C times T all you have see on this axis here and T on this axis here so if C for example is in gram per liter and T is in minutes then the unit of the blue area here is more sorry grandpa liter times minutes and if you multiply that with the flow like in liters per minute then you get grams right so f times the