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Homework Help: Fill rate question

  1. Jan 18, 2008 #1
    1. The problem statement, all variables and given/known data
    A bottle with a volume of 183 U. S. fluid gallons is filled at the rate of 1.7 g/min. (Water has a density of 1000 kg/m3, and 1 U.S. fluid gallon = 231 in.3.) In years, how long does the filling take?


    2. Relevant equations



    3. The attempt at a solution
    Volume -> 42273 Units in.^3 -> 692730.3565 Units cm^3 -> .6927303565 Units m^3

    But after this finding the mass of water and the fill rate I get messed up. I know is just simple conversion but I'm messing something up down the line.
     
  2. jcsd
  3. Jan 18, 2008 #2
    Well first, I can't really follow your work and only have trusty windows calculator if I wanted to, so I'll just say...

    Actually yes I can, I see, you figured out how many cubic meters 183 gallons is, right?

    mmk

    If water has a density of 1000 kg/m^3, that's saying a m^3 of water has a mass of 1000 kg. You want to find out how much mass is in .6927 m^3. Can you do that? That's just a simple conversion or ratio or whatever you wanna call it. So you need x g of water(you find x)

    Then you know you have 1.7g/min, so convert that to xg/zyears, and you're looking for z, if there's 1.7 grams every minute, how many years are there for every x grams?

    Here's a fun thing google calculator does
    http://www.google.com/search?hl=en&rls=com.microsoft:en-US&q=183+gallons+to+m^3

    but remember you won't have it on a test, so just use it to check your answers confidently
     
    Last edited: Jan 18, 2008
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