1. A

    Application of differential equation (Mixing problem)

    This mixing problem asks to find the maximum amount of fertilizer in the tank and the time required to reach the maximum. My answer 28.9 min is correct, but when I tried to plug it in for t inside the equation that I got it gave me 63.3 lb. and it says that I got it wrong. Did I simplify this wrong?
  2. M

    Uni mixing/input-output question!!!!

    I'm struggling with a). Any help would be greatly appreciated!!! Whisky consists mainly of water and alcohol. Before bottling, the alcohol is diluted with water to the standard bottle concentration of (44−46)%. Suppose a 2500 gallon tank initially contains 600 gallons of pure alcohol. An...
  3. J

    Mixing fluids.

    Hi. Post one. I hope this is the correct place for this question. I've got an automatic transmission that takes a total of 7.5 litres of ATF (automatic transmission fluid). It has gotten very dirty. When I drain the fluid only 4 litres is drained off, the rest remains in the transmission...
  4. L

    Calculus intravenous dosage and tank mixing problems

    I've been trying to figure out these two questions for a couple days now but I keep getting stuck. Any help is appreciated. 1) At ( t = 0 hours ), a dosage of a drug which has a DECAY RATE of [ 2 per hour ] is given in a hospital through an intravenous line to a patient at a CONSTANT RATE of...
  5. A

    Ergodicity, mixing, stationarity

    When considering sequences, I know that mixing and stationarity implies ergodicity. This is a stationary mixing process is ergodic. But, if I have a stationary and non-ergodic sequence, can I conclude it is not mixing? What about if it is stationary and ergodic, will it be mixing? Thank you!
  6. B

    Mixing 2 liquids of different concentration

    Hi, If I had 500 litres of a solution that is 10% concentration and I want to add another solution to it which is 20% concentration to have a total concentration of 14%, how much of the 20% solution do I need to add? I think the answer is 334 litres but I am not sure how I came to this answer...
  7. K

    Mixing problem (differential equation)

    A tank is filled with 1000 liters of pure water. Brine containing 0.05 kg of salt per liter enters the tank at 7 liters per minute. Another brine solution containing 0.08 kg of salt per liter enters the tank at 10 liters per minute. The contents of the tank are kept thoroughly mixed and the...
  8. U

    Silver Alloy Mixing Problem.

    How many ounces of a 35% silver alloy must be melted with an alloy of 65% silver to produce 20 ounces of a 41% silver alloy?
  9. L

    Mixing problem, brine solution

    A 400-gal tank initially contains 100 gal of brine containing 50 lb of salt. Brine containing 1 lb of salt per gallon enters the tank at the rate of 4 gal/min, and the well mixed brine in the tank flows out at the rate of 3 gal/min. How much salt will the tank contain after 100 minutes? So, I...
  10. O

    Mixing Problem - Deriving a differential equation

    Hi everyone, first post on here :) In a bit of strife though and looking for a bit of guidance... The Problem: A 150 litre tank contains 40 litres of water and 20 litres of alcohol mixed together. Pure alcohol is run in at 5 litres/minute, and the mixture is stirred to keep it perfectly...
  11. T

    easy tank mixing problem

    A five gallon tank is full of water. We open a spigot so 1 gal. leaves the tank and introduce a mixture of 1/2 lb. per gal at 1 gal per minute. Assuming the mixture is well mixed, what’s the concentration at time t? i did these a while ago but cant seem to remember how to finish them...
  12. C

    Mixing ingredients where portion of one of ingredients is a fn of the final amount

    I have two mixtures of flour and water. Mixture 1 has equal parts flour and water Mixture 2 has two parts flour to one part water I also have supplies of flour and water Problem (a) I'm going to mix flour and water and want to end up with mixture 1 --...
  13. S

    A Mixing Problem....

    ok here is a mixing problem that i tried to do, it seems pretty straight forward. Could someone take a look and let me know where i went wrong? thanks in advance... Suppose that a large mixing tank initailly holds 500 liters of water, in which 20 kg of salt have been dissolved. another...
  14. D

    mixing problem

    Cleaning Up Lake Erie Lake Erie has a volume of roughly 100 cubic miles, and its equal inflow and outflow rates are 40 cubic miles per year. At year = 0, a certain pollutant has a volume concentration of 0.05%, but after that the concentration of pollutant flowing into the lake drops to...
  15. B

    Differential Equation Mixing Problem

    I'm having a bit of trouble with some questions, I'm not sure whether it is from deficiancies in D.E or integration and would like some help if possible. so here's an example. A tank with 200L of pure water initially, has 4grams of salt per litre run into the tank at 1L per min. A well mixed...
  16. T

    Recirculation Mixing Problem

    I'm having some trouble setting up the equations for this problem: A rigid tank of volume V contains salt dissolved in water at a concentration C. Fresh water flows into the tank at a rate of F. A fraction "x" of the exit flow is recirculated back into the entrance flow...
  17. A

    D.e mixing problem

    300 gallon tank contains 100 gallons of brine with a concentration of 1 pound of salt per gallon.a brine containing one half point of salt per gallon runs into the tank at rate of four gallons per minute nad the well stirred mixture drains from the tank at the same rate .when is the...
  18. J

    Markov Chain mixing time

    Hello, This question is about the number of MCMC samples T required to reach a desired accuracy. Suppose the mixing time of the Markov Chain is T_1=O(N log(N)), ie the number of samples required so that for any further t, ||P_t-\pi||< e where P is Markov Chain and \pi is the target. Suppose...
  19. C

    Mixing Problem

    A cistern (water tank) contains 200 litres of pure water. Brine (salty water) that contains 0.02 kg/L of salt is added at a rate of 3 L/min. Brine from a second source with 0.04 kg/L of salt is added at a rate of 1 L/min. Assume that the cistern is instantaneously well-mixed. The cistern is...
  20. N

    Simplification and a Mixing Solutions Problem

    Simplify: \frac{-9x}{2(3x+1)} + \frac{1}{2x(3x+1)} - \frac{5}{x} Also: How many liters of a 35% acid solution should be mixed with a 14% acid solution to obtain 70 liters of a 20% acid solution?