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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),

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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.

gretzu  Feb 8, 2016

#1
+26399
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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
Sort:

#1
+26399
+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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Alan  Feb 8, 2016
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Thank you! :)

gretzu  Feb 20, 2016
#2
+91435
+5

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

Melody  Feb 9, 2016

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