3/20/11
Dilution calculation (juice)
Suppose you have 2 L of orange drink containing 50% orange juice and 50% water (by volume). The drink was made from 1 L of orange juice and 1 L of water. You want to dilute this drink so that it contains only 20% orange juice. How much water should you add?
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A 20% orange juice-water mixture would contain 20 parts juice in 100 parts of mixture (by volume).
20/100 = 1/5
The above ratio shows that we would have 1 part juice to 5 parts total. The 2 liters of made up orange drink contains 1 liter of juice and one liter of water. If we added 3 more liters of water, we would have 1 liter juice in 5 liters total.
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Carbon-14 Dating Calculation
A linen scroll contains 80.9% of Carbon-14 that it contain when new. How old are the scrolls if the half-life for deacy is 5.73X10^3?
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ln(M/Mo) = -kt
n = natural log
M = mass left (not needed)
Mo = original mass (not needed)
(M/Mo) = 0.809
k = 0.693/T(half)
T(half) = 5.73x10^3 years.
- - - - - - - - - -
- - - - - - - - - -
ln(M/Mo) = -kt
n = natural log
M = mass left (not needed)
Mo = original mass (not needed)
(M/Mo) = 0.809
k = 0.693/T(half)
T(half) = 5.73x10^3 years.
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