1. Background Story:
My question is "how many H2O molecules are in lake Champlain". I chose this because another student's question was funny and made me want to extend it to be a good fermi question. Their question was how much water is in a 10 gallon tank so I changed the question to be how many molecules create one gallon of water because it sounded interesting. Then Mr.Wagner thought it would be more complex to enlarge the problem, so I expanded it to the Lake Champlain
2. Ask Yourself This:
I need to know how many H2O molecules are in one gallon.
I need to know the the depth and perimeter of Lake Champlain.
I need to find out on average how much does the water level change in Lake Champlain.
I need to learn if water molecules can die off.
How many gallons of water are in a cubic meter?
3. Helpful Hints:
a.)
There are 126600000000000000000000000 water molecules in one gallon of water.(chacha.com)
The depth of Lake Champlain is 122 meters.(google.com)
On average the water level in Lake Champlain varies about 6feet each year.(lakechamplainvacation.net)
There are about 264.2 gallons in a cubic meter.(asknumbers.com)
The average depth is 19.5 meters in Lake Champlain.(wikipedia.org)
The area is 1,269,000 meters in Lake Champlain. (webcrawler.com)
Water molecules don’t die.(solar-ceneter.stanford.edu)
b.) There is about 15.1x 10^23 molecules in lake champlain if you add the amount of water Lake Champlain changes by each year. Which is about 2 meters.
4. Construct a Formula:
First I have to find the volume of Lake Champlain. Next I need to find the total number of gallons there are in Lake Champlain. After that I have to multiply the h2o molecules per one gallon times the total amount of gallons in Lake Champlain, to finally find the total number of h2o molecules there are in Lake Champlain.
Total molecules in LC=h2o molecules/gal. x Total gal. in LC
5. Messy Math:
1,269,000 m2 X19.5m=24,745,500 m3
24,745,500 m3 X 264.2 gallons/cubic meters=6,537,761,100 total gallons in lake champlain
6.5377611 x10^9 gallons X(1.266 X 10^26 molecules/gallon)=8.2768056 X 10^35 h2o molecules in Lake Champlain.
6. Answer:
There is approximately 8.28 X 10^35 Water molecules in Lake Champlain. In perspective that is about enough water molecules to go around the earth's equator 3310000000000000000000000000000000 times.
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