Salt Concentration in 4000L Tank: Find the Limit

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SUMMARY

The discussion centers on calculating the salt concentration in a 4000L tank as brine with a concentration of 30g/L is pumped in at a rate of 25L/min. The resulting concentration of salt after t minutes is expressed by the formula C(t) = 30t/(160+t). As time approaches infinity, the concentration of salt approaches 30g/L, indicating that the tank will eventually reach a steady state where the salt concentration stabilizes.

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step1536
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A tank contains 4000L of pure water. Brine that contains 30g of salt per liter of water is pumped into the tank at a rate of 25L/min. Show that the concentration of salt after t minutes (in grams per liter) is C(t) = 30t/160+t

What happens to the concentration as t --> infinity
lim C(t)= ____________g/L
t --> infinity
 
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any ideas - you should show your attempt
 

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