Calculus

posted by .

A tank contains 2920 L of pure water. A solution that contains 001 kg of sugar per liter enters a tank at the rate 4 L/min The solution is mixed and drains from the tank at the same rate.

(a) How much sugar is in the tank initially?

(b) Find the amount of sugar in the tank after t minutes. (Answer should be a function of t)

(c) Find the concentration of sugar in the solution in the tank after 39 minutes.

For a), I put 0.

For b), I have so far: Q'=R_in*C_in - R_out*C_out= (4)(0.01)-(4)*(Q(t)/V)

Not sure what to do next. Help would be greatly appreciated.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Tank 1 initial contains 70 L (liters) of water and 450 g of salt, while tank 2 initially contains 20 L of water and 200 g of salt. Water containing 10 g/L of salt is poured into tank1 at a rate of 1 L/min while the mixture flowing …
  2. Calculus

    A large tank is filled with 200 gallons of pure water. Brine containing 1 pound of salt per gallon is pumped into the tank at the rate of 5 gallon per minute. The well-mixed solution is pumped out at the same rate. (a) Find the number …
  3. Calculus

    Two 100-gallon tanks initially contain pure water. Brine containing 2 lb of salt per gallon enters the first tank at the rate of 1 gal/min, and then the mixed solution drains into the second tank at the same rate. There, it is again …
  4. math

    A tank contains 50 gallons of a solution composed of 90% water and 10% alcohol. A second solution containing 50% water and 50% alcohol is added to the tank at rate of 4 gallons per minute. As the second solution is being added, the …
  5. Differential Equations

    A tank originally contains 5 lb of salt dissolved in 200 gal of water: Starting at time t=0, a salt solution containing 0.10 lb/gal is to be pumped into the tank at a constant rate and the well-stirred mixture is to flow out of the …
  6. MATH..-HELP ME PLEASE GUYS..THIS DUE TMORROW!!!!..

    Suppose tank A consist of 500 liter brine with 500gm salt dissolved in it, whereas in tank B containing 500 liter of water. Water is allowed to enter tank A at a rate of 30 liter/minute, and that mixed solution flow from tank A to …
  7. ordinary differential equation

    A contains 200 liters of solution in which is dissolved 40 kg of salt. Tank B contains 400 liters of solution in which are dissolved 80 kg of salt. Pure water flows into tank A at rate of 10 liters per second. There is a drain at the …
  8. Calculus

    A tank contains 100 grams of a substance dissolved in a large amount of water. The tank is filtered in such a way that water drains from the tank, leaving the substance behind in the tank. Consider the volume of the dissolved substance …
  9. Calculus

    A tank contains 100 grams of a substance dissolved in a large amount of water. The tank is filtered in such a way that water drains from the tank, leaving the substance behind in the tank. Consider the volume of the dissolved substance …
  10. math

    A large mixing tank currently contains 100 gallons of water into which 6 pounds of sugar have been mixed. A tap will open pouring 20 gallons per minute of water into the tank at the same time sugar is poured into the tank at a rate …

More Similar Questions