A tank with a 1000 gal capacity initially contains 500 gal of water that is polluted with a 50 lb of particulate matter. At time t = 0 pure water is added at a rate of 20 gal/min and the mixed solution is drained off at a rate of 10 gal/min. How much particulate is in the tank when it reaches the point of overflowing?
With this question i attempted to fig out so far, that the rate in minus rate out, is 10 gal/per min, which means that the rate in is greater than the rate out, and the tank fills up at t = 50 min , i get dA/dt to -10/500 lbs/min, however that is the conc alone. how do i figure out how much particulate is in the tank at the point of overflow?
thanks for the help
With this question i attempted to fig out so far, that the rate in minus rate out, is 10 gal/per min, which means that the rate in is greater than the rate out, and the tank fills up at t = 50 min , i get dA/dt to -10/500 lbs/min, however that is the conc alone. how do i figure out how much particulate is in the tank at the point of overflow?
thanks for the help