Question

A swimming pool whose volume is 10,000 gal contains water that is 0.02​% chlorine. Starting at...

A swimming pool whose volume is 10,000 gal contains water that is 0.02​% chlorine. Starting at t=​0, city water containing 0.001​% chlorine is pumped into the pool at a rate of 6 ​gal/min. The pool water flows out at the same rate. What is the percentage of chlorine in the pool after 1 hour​? When will the pool water be 0.002​% ​chlorine?

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A children swimming pool initially contains 500 L of clean water. An inlet water stream containing...
A children swimming pool initially contains 500 L of clean water. An inlet water stream containing chlorine at a concentration of 4 mg/L is pumped into the pool at a rate of 12 L/hr. Assuming well-mixed condition, the water is pumped out at the rate of 10 L/hr. Create an equation for the mathematical model of the amount of chlorine in the pool as a function of time. Perform your own research on the acceptable chlorine concentration in a pool...
A tank contains 144 gal of water and 48 oz of salt. Water containing a salt...
A tank contains 144 gal of water and 48 oz of salt. Water containing a salt concentration of   (1/6+1/12sin  t) oz/gal flows into the tank at a rate of 3 gal/min, and the mixture in the tank flows out at the same rate. (a) Find the amount of salt in the tank at any time. The amount of salt in the tank is Q(t)=
A 100-gallon tank initially contains pure water. A solution of dye containing 0.3 lb/gal flows into...
A 100-gallon tank initially contains pure water. A solution of dye containing 0.3 lb/gal flows into the tank at the rate of 5 gal/min and the resulting mixture flows out at the same rate. After 15 min, the process is stopped and fresh water flows into the tank at the same rate. Find the concentration of dye in the tank at the end of 30 min. Ans.: 0.075 lb/gal
Your swimming pool containing 75,000 gal of water has been contaminated by 5 kg of a...
Your swimming pool containing 75,000 gal of water has been contaminated by 5 kg of a nontoxic dye that leaves a swimmer's skin an unattractive green. The pool's filtering system can take water from the pool, remove the dye, and return the water to the pool at a flow rate of 250 gal/min. Assume that the dye is uniformly distributed throughout the pool. (a) What is the initial value problem for the filtering process; let q(t) be the amount of...
A large tank contains 800 gal of water in which 42 lb of salt are dissolved....
A large tank contains 800 gal of water in which 42 lb of salt are dissolved. Brine containing 2 lb of of dissolved salt per gal is pumped into the tank at a rate of 4 gal per minute, and the mixture, kept uniform by stirring, is pumped out at the same rate. (a) Find the amount x(t) of salt in the tank, at time t. (b) How long will it take for the amount of salt in the tank...
A tank originally contains 100 gal of fresh water. Then water containing 1 2 lb of...
A tank originally contains 100 gal of fresh water. Then water containing 1 2 lb of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to leave at the same rate. After 10 min the process is stopped, and fresh water is poured into the tank at a rate of 3 gal/min,with the mixture again leaving at the same rate. Find the amount of salt in the tank at the...
A tank originally contains 100 gal of fresh water. Then water containing 1/2 lb of salt...
A tank originally contains 100 gal of fresh water. Then water containing 1/2 lb of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to leave at the same rate. After 10 min the process is stopped, and fresh water is poured into the tank at a rate of 5 gal/min, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the...
A 300-gal capacity tank contains a solution of 200 gal of water and 50 lb of...
A 300-gal capacity tank contains a solution of 200 gal of water and 50 lb of salt. A solution containing 3 lb of salt per gal is allowed to flow into the tank at the rate of 4 gal/min. The mixture flows from the tank at the rate of 2 gal/min. How many pounds of salt are in the tank at the end of 30 min? When does the tank start to overflow? How much salt is in the tank...
A tank contains 100 gal of brine made by dissolving 80 lb of salt in water....
A tank contains 100 gal of brine made by dissolving 80 lb of salt in water. Pure water runs into the tank at the rate of 4 gal/min, and the mixture, kept uniform by stirring runs out at the same rate. Find the amount of salt in the tank at t=8 min.
Peyton’s and Ryan’s swimming pool is turning green. They will fix the chlorine generator again, but...
Peyton’s and Ryan’s swimming pool is turning green. They will fix the chlorine generator again, but they need to add shock to clear up the algae in the pool. Commercially available shocks are typically powders containing calcium hypochlorite. The hypochlorite ion forms the active hypochlorous acid when the product is added to water. Household bleach contains sodium hypochlorite, which Peyton and Ryan think should serve the same purpose. Will one gallon of bleach from the dollar store be as effective...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT