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There is a container with 64 liters of pure alcohol. 32 liters were poured out
of the container and replaced with pure water. How many times should you
repeat this operation to get a solution with only 2 liters of alcohol?

 May 17, 2020
 #1
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64(0.5)n = 2

 

(0.5)n = 1/32

 

nlog0.5(0.5) = log0.5(1/32)

n = log0.5(1/32) = 5

 

or you can just write it out:

 

64 --> 32 --> 16 --> 8 --> 4 --> 2

 

5 arrows = do it 5 times to get 2L

 May 17, 2020

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