Solution-Find the mass of salt in the pool at time t

Find the mass of salt in the pool at time t

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Reference no: EM131612628

Question: An aquarium pool has volume 2 · 10⁶ liters. The pool initially contains pure fresh water. At t = 0 minutes, water containing ¹⁰ grams/liter of salt is poured into the pool at a rate of 60 liters/minute. The salt water instantly mixes with the fresh water, and the excess mixture is drained out of the pool at the same rate (60 liters/minute).

(a) Write a differential equation for S(t), the mass of salt in the pool at time t.

(b) Solve the differential equation to find S(t).

Reference no: EM131612628

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Find the mass of salt in the pool at time t

Reference no: EM131612628

Reference no: EM131612628

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