Minnesota Rural Water Association

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 Math Quiz 5  

Basic Water Operators Math

Quiz 5:    (A, B Level Only)        
 
Math Tips

Click on the answer in the drop down box that you feel is correct. Do not hit enter.  Use your mouse or the tab to move onto the next question. When you have completed the quiz, click on the submit quiz button to view the answers.  Please fill in your e-mail address and we will respond to you with any questions or feedback you may have.

1.  How many pounds of 65% HTH chlorine will be required to disinfect 400 feet 
     of 8-inch watermain at 50 ppm?

2.  An 8-inch diameter pipe is flowing at 1.5 ft³/sec (cfs).  What is the velocity
     in ft/sec.?

3.  If a pipe must carry 350 gpm at a maximum velocity of 4 ft/sec, what diameter
     pipe will be required? 

         4.  What is the rate of flow in cfs in a 6-inch pipe with water velocity of 3.5 ft/sec?            



5.  A 1500 gpm high service pump transmits water to the distribution system through
     a 16-inch pipe.  What is the water velocity in ft/sec?


         6.  A 12-inch watermain is reduced to a 6-inch watermain.  If the velocity in the 12-inch
              watermain is 2.5 ft/sec, what is the velocity in the 6-inch watermain?


7.  Calculate the Langlier Index for a water with a calculated pHs value of 8.69 and 
      an actual pH of 8.5. 

8.  The pH of stability (pHs ) for your water has been calculated to be 8.8.  You are
     reading a pH of 9.4 today in your distribution system.  Is your water scale forming
     or corrosive?

Lime Softening

9.  What is the molecular weight of hydrated lime? Ca(OH)2

10.  What is the molecular weight of pebble lime? CaO

11.  What is the molecular weight of calcium carbonate? CaCO3

12.  What is the molecular weight of calcium bicarbonate? Ca(HCO3)2

13.  How many pounds of hydrated lime would be required to treat 500,000 gallons
       of water to reduce the amount of calcium bicarbonate from 240 mg/l to 
       90 mg/l?

14.  Find the amount of lime as CaO that would be required to reduce the amount
       of calcium bicarbonate from 200 ppm to 85 ppm in a plant with a 5600-gpm
       flow.

15.  28,500 pounds of alum are added each month at a plant operating at 3.6 MGD,
       and the alum costs $8.00 per 100 pounds.  What is the total cost of the alum for
       the month?        

16.  See above--total cost of the alum for the year?

17.  What would the total cost of lime for one year if lime is fed at an average rate of
       65 ppm for a plant with a flow of 3600 gpm?  Assume the plant operates 7 days a
       week, 24 hours a day, and that the cost of the lime is $12.00 per 1000 pounds.

18.  The pumping level in a well is 80 feet.  Water is pumped 2000 feet horizontally to
       an elevated storage tank 120 feet high.  The head loss in the pipe is approximately
       2.8 feet per 1,000 feet.  What is the total pressure in psi required by the pump?

19.  The water level in a 50-foot diameter reservoir at 8:00 am is 21 feet.  The water
       level at 4:00 pm is 11 feet.  If the water is flowing into the reservoir at 220 gpm, 
       at what rate is the water being pumped out of the reservoir from 8:00 am to 
       4:00 pm?


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Source:  Cindy Cook, Minnesota Department of Health
Copyright © 1999 Minnesota Rural Water Association.  All rights reserved.
Revised: March 31, 2008

 

 
 

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Minnesota Rural Water Association

217 12th Avenue SE
Elbow Lake, MN  56531
Phone: 218-685-5197
Fax: 218-685-5272
E-mail: mrwa@mrwa.com