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A very large tank contains 1000L of pure water, and brine water with 50 g/L of salt is pumped into the tank at a rate of 3 L/min. Find a forumula for C(t), the concentration of salt (in g/L) in the tank's fluid after t minutes.

 Feb 8, 2016

Best Answer 

 #1
avatar+30024 
+20

Every minute there are 3*50 = 150 grams of salt pumped in and 3 Litres of water, so after t minutes there are 150t grams in 3t + 1000 Litres.  Hence C(t) = 150t/(3t + 1000) g/L

 

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 Feb 8, 2016
 #1
avatar+30024 
+20
Best Answer

Every minute there are 3*50 = 150 grams of salt pumped in and 3 Litres of water, so after t minutes there are 150t grams in 3t + 1000 Litres.  Hence C(t) = 150t/(3t + 1000) g/L

 

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Alan Feb 8, 2016
 #3
avatar+270 
0

Thank you! :)

gretzu  Feb 20, 2016
 #2
avatar+109518 
+5

Hi Alan, it is really good to see you - we have missed you here  :)

 Feb 9, 2016

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