General Chemistry problem with conversion factors

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SUMMARY

The discussion focuses on converting the volume of one cubic mile of seawater, with a density of 1.13 g/cm³, into gallons and tons. Key conversion factors provided include 1 cm³ = 0.001 L, 3.785 L = 1 gallon, and 1 kg = 2.2046 lb. The formula for conversion is established as 1.13 g/cm³ multiplied by the relevant conversion factors. Participants emphasize the importance of maintaining unit consistency throughout the calculation process.

PREREQUISITES
  • Understanding of unit conversion principles
  • Familiarity with density and its implications in calculations
  • Knowledge of metric and imperial measurement systems
  • Basic algebraic manipulation skills
NEXT STEPS
  • Practice unit conversions using different density values
  • Explore dimensional analysis techniques for complex conversions
  • Learn about the properties of seawater and its density variations
  • Investigate the implications of density in environmental science
USEFUL FOR

Students in chemistry or environmental science, educators teaching unit conversions, and professionals involved in marine studies or fluid dynamics.

CN^-
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One cubic mile of sea water, with a density of 1.13 g/cm3 contains how many gallons and how many tons of sea water?




1 cm3/.001 L
3.785 L/1 gal
1 kg/2.2046 lb
5280 ft3=1 mi3





1.13g/1cm3 X 2.2046 lb/1000 X 1 cm3/.001 L X 3.785/gal


After this point I get a bit confused about how to proceed. Any help would be appreciated.
 
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CN^- said:
One cubic mile of sea water, with a density of 1.13 g/cm3 contains how many gallons and how many tons of sea water?




1 cm3/.001 L
3.785 L/1 gal
1 kg/2.2046 lb
5280 ft3=1 mi3





1.13g/1cm3 X 2.2046 lb/1000 X 1 cm3/.001 L X 3.785/gal


After this point I get a bit confused about how to proceed. Any help would be appreciated.

Welcome to the PF.

I give some tips for unit conversions in this thread:

https://www.physicsforums.com/showthread.php?t=425866

Just write out the quantity you have now, and keep multiplying by "1" to do each part of the units conversion. Can you give that a try and show us your work? Carry the units along in numerator and denominator of your quantity as you go...
 

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