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Chris Stroud 6/23/06 College Physics I
After hearing about the health benefits of drinking
a daily glass of wine, you decide to do a little research on some of the
wineries here in the United States. After a few hours, you discover
that our nation’s second largest wine producer, Washington State turns
out 58 million liters of wine per year. Knowing that one of the main
ingredients in wine is yeast, you decide to do a few calculations in
order to see how long it would take a single yeast cell (V=0.05µL) to
reproduce (generation time=30minutes) and fill a bottle the size of
Washington’s yearly wine output (58million liters). How long would it
take?
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Answer: (2^x)(0.05µL)=58million L
2^x=1.16e18
x=60 reproductions
(35minutes)(60reproductions)
=35hours
When would the bottle be half-full?
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35hrs-35min= 34hrs 25mins
Sources
Arnold, W.
N. 2000. From cannon balls to yeast cells. Science 288:55
The researcher in this paper talks
about the difficulties of measuring a single yeast cell, because
they increase in size before they reproduce. To solve this problem he
applies some mathematical formulas that were used to measure cannon
balls to determine a single yeast cell’s size with a degree of precision
to the nearest 0.000001µL
Tortora, G.
2002. Microbiology (336-342)
This is the microbiology textbook for
BIOL 2113 here at the University of Arkansas. I found the generation
times for various yeasts from this book
Washington Wine
Commission. Retrieved on June 21, 2006. http://washingtonwine.org/sub_page.cfm?action=showfeature&story=num.cfm&...
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This site gives current information
about wineries in the state of Washington, and I used it to get the
amount of wine produced by Washington per year. |