A tank contains 100kg of salt and 2000L of water. Pure water enters a tank at...

A tank contains 100kg of salt and 2000L of water. Pure water enters a tank at the rate 6L/min. The solution is mixed and drains from the tank at the rate 3L/min. ) Find the concentration(kg/L) of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.)

Expert Solution

milcah answered 2 years ago

A tank contains 60 kg of salt and 1000 L of water. Pure water enters a...

A tank contains 60 kg of salt and 1000 L of water. Pure water enters a tank at the rate 12 L/min. The solution is mixed and drains from the tank at the rate 6 L/min. (a) What is the amount of salt in the tank initially? amount = (kg) (b) Find the amount of salt in the tank after 3 hours. amount = (kg) (c) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume...

A tank contains 90 kg of salt and 2000 L of water: Pure water enters a...

A tank contains 90 kg of salt and 2000 L of water: Pure water enters a tank at the rate 8 L/min. The solution is mixed and drains from the tank at the rate 4 L/min. What is the amount of salt in the tank initially? Find the amount f salt in the tank after 4.5 hours. Find the concentration of salt in the solution in the tank as the time approaches infinity. (Assume your tank is large enough to...

A tank contains 1000L of pure water. Brine that contains 0.05kg of salt per liter enters...

A tank contains 1000L of pure water. Brine that contains 0.05kg of salt per liter enters the tank at a rate of 5L/min. Also, brine that contains 0.09kg of salt per liter enters the tank at a rate of 10L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15L/min. Answer the following questions. 1. How much salt is in the tank after t minutes? Answer (in kilograms): S(t)= 2. How much salt is...

A tank contains 9,000 L of brine with 11 kg of dissolved salt. Pure water enters...

A tank contains 9,000 L of brine with 11 kg of dissolved salt. Pure water enters the tank at a rate of 90 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. (a) How much salt is in the tank after t minutes? (b) How much salt is in the tank after 10 minutes? (Round your answer to one decimal place.)

A tank initially contains 80gal of pure water. Brine containing 2lb of salt per gallon enters...

A tank initially contains 80gal of pure water. Brine containing 2lb of salt per gallon enters the tank at 2gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus the tank is empty after exactly 80 min. (A) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank?

2. A tank initially contains 120 L of pure water. A salt mixture containing a concentration of...

2. A tank initially contains 120 L of pure water. A salt mixture containing a concentration of 1.5 g/L enters the tank at a rate of 2 L/min, and the well-stirred mixture leaves the tank at the same rate. Find an expression for the amount of salt in the tank at any time t. Also, find the limiting amount of salt in the tank as t →∞.

A tank contains 365 gallons of water and 50 oz of salt. Water containing a salt...

A tank contains 365 gallons of water and 50 oz of salt. Water containing a salt concentration of 1/6(1 + 1/4 sin t) oz/gal flows into the tank at a rate of 8 gal/min, and the mixture in the tank flows out at the same rate. The long-term behavior of the solution is an oscillation about a certain constant level. a) What is this level? b) What is the amplitude of the oscillation?

A tank contains 200 gal of water and 50oz of salt. Water containing a salt concentration...

A tank contains 200 gal of water and 50oz of salt. Water containing a salt concentration of 1/8(1+1/2 sint) oz/gal flows into the tank at a rate of 4 gal/min, the mixture flows out at the same rate. A) find the amount of salt in the tank at any moment. Q(t) = B) the amplitude of oscillation is C) level of the amplitude is

A tank contains 360 gallons of water and 50 oz of salt. Water containing a salt...

A tank contains 360 gallons of water and 50 oz of salt. Water containing a salt concentration of 1 6 (1 + 1 4 sin t) oz/gal flows into the tank at a rate of 8 gal/min, and the mixture in the tank flows out at the same rate. The long-term behavior of the solution is an oscillation about a certain constant level. a) What is this level? b) What is the amplitude of the oscillation? (Round your answers to...

a) A salt-water tank has pure water flowing into it at 5 L/min. The contents of...

a) A salt-water tank has pure water flowing into it at 5 L/min. The contents of the tank are kept thoroughly mixed, and the contents flow out at 5 L/min. Initially, the tank contains 1 kg of salt in 10L of water. How much salt will be in the tank after 20 minutes? Let ?? represent the amount of salt in the tank at time t and let ?? represent the volume of saltwater in the tank at time t....

Question