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find super today were going to talk about mixture problems mixing with man reacting fluids and this is still a part of the application of first order differential equation so the very first thing were going to learn here in terms of mixture of I problems of mixture in the application of the first order differential equations that the rate of change of substance in a volume is equal to the rate of entrance minus the rate of exit mathematically were going to put that into our differential equation we have DX over T is equal to the R R sub I C sub I - thats the rate of entrance minus R sub all see some oh thats the B of exit ok where R sub I is the volumetric flow rate at the entrance meaning thats how fast okay is the liquid we together with the solution is coming inside the time and C sub I stands for the concentration of substance at the entrance where in R sub o is the volumetric flow rate at the exit but it means that the liquid is also has array of exit and hazard of advance