A tank contains 1800 liters (L) of fluid in which 180 grams (g) of salt is dissolved. Solution containing 20 g/L then pumped into the tank at a rate of 30 L/min; the tank is maintained well mixed and pumped out at the same rate. How many grams of salt are in the tank 20 minutes after the inlet supply is opened?

A tank has pure water flowing into it at 12 L/min. The contents of the tank are kept thoroughly mixed, and the contents flow out at 8 L/min. Initially, the tank has contains 5 kg of salt in 200 L of water. What is the salt (kg) in tank after 30 min

A tank initially contains 100 L of fresh water. Solution 1 is a brine solution containing 3 kg of salt per L and is allowed to enter the tank at a rate of 2 L/min. Solution 2 is a brine solution containing 2 kg of salt per L and is allowed to enter the tank at a rate of 1 L/min. The well-stirred mixture flows out of the tank at the rate of 4 L/min. Determine the amount of salt (in kg) in the tank after one hour.    choices: 99.84 kg 88.94 kg 48.94 kg  48.49 kg

A tank which is initially filled with 15kg of salt dissolved in 3000 L of water. Brine, at a concentration of 20 grams per litre, is flowing into the tank at a rate of 10 litres per minute. It is thoroughly mixed with the solution that's already in the tank. At the bottom of the tank, there is a pipe which is draining the mixed solution at the same flow rate as the brine flowing in. How much salt is in the tank after 1 hour? O 53.16 kg O 43.16 kg 33.16 kg 23.16 kg

4. A well-circulated pond contains 1 million L of water that contains a pollutant at a concentration of 0.01 kg/L. Pure water enters from a stream at 100 L/h. Water evaporates from the pond (leaving the pollutant behind) at 50 L/h. How many days will it take for the concentration of pollutant to drop to 0.001 kg/L?

Suppose: • The vat contains 270 gallons of liquid, which • • . never changes. Sugar water with a concentration of 10 tablespoons/gallon flows through pipe A into the vat at the rate of 30 gallons/minute. Sugar water with a concentration of 8 tablespoons/gallon flows through pipe B into the vat at the rate of 35 gallons/minute. • The liquid in the vat is kept well-mixed. Sugar water leaves the vat through pipe C at the rate of 65 gallons/minute. Let S(t) represent the number of tablespoons of sugar in the vat at time t, where t is given in minutes. (A) Write the DE model for the time rate of change of sugar in the vat: dS dt (B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Your function will have an arbitrary constant K in it. Assume that K > 0. S(t) = (C) Suppose that there are 32 tablespoons of sugar in the vat at t = present 4 minutes later? 0. How many tablespoons will be tablespoons

A tank initially have 100 L with 50 g of dissolved salt. brine is pumped into the tank at a rate of 2 L/min carrying 2 grams of salt per liter. The well-stirred mixture is pumped out of the tank at a rate of 3 L/min. Find the concentration of the solution after 1 hour.

A brine solution of salt flows at a constant rate of 9 L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.2 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine entering the tank is 0.02 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.01 kg/L? Determine the mass of salt in the tank after t min. mass= =kg

A tank initially contains 100 gal of water in which is dissolved 2 lb of salt. The salt-water solution containing 1lb of salt for every 4 gal of solution enters the tank at a rate of 5 galmin. The solution leaves the tank at the same rate allowing for a constant solution volume in the tank. Determine the eventual salt content (lbs) in the tank.

1. A tank contains 30 liters of fluid in which 10 grams of salt are dissolved. Brine containing0.5 gram of salt per liter is then pumped into the tank at the rate of 2 liters per minute andthe solution mixed well is pumped out of the same rate.a) Find the number of grams of salt in the tank at any time t in minutes.b) Find the amount of salt in the tank after 10 minutes.