A large tank at first has 50 gallons of a solution that is holding 10 lbs. of a chemical. Water is going through at a constant rate, and the mixture is going out at a constant rate. What will be the flow rate if 2 lbs. remains after 20 mins? I assume it's a differential eqns. problem. I think I should define x(t) as amount of chemical, so dx/dt = - x(t)/50 but I'm not really sure. Can somebody walk me through this?
Well the water and chemical is decreasing at a constant rate so i doubt you should use differential equations. Here is what i think - 8lb of chemical in 20 mins = 0.4lb/min 50 gallons for 10 lb of chemical = 5gal/lb gallons/min = 0.4 * 5 = 2 gal/min