Question
In: Advanced Math
(1 point) A tank is filled with 1000 liters of pure water. Brine containing 0.05 kg...
(1 point) A tank is filled with 1000 liters of pure water. Brine containing 0.05 kg of salt per liter enters the tank at 6 liters per minute. Another brine solution containing 0.07 kg of salt per liter enters the tank at 9 liters per minute. The contents of the tank are kept thoroughly mixed and the drains from the tank at 15 liters per minute. A. Determine the differential equation which describes this system. Let S(t) denote the number of kg of salt in the tank after t minutes.
A) dS/dt = ?
B) Solve the differential equation for S(t).
Solutions
Colby Messinger answered 1 year agoRelated Solutions
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Consider a tank containing at time t = 0, 100 gallons of brine. Assume that water...
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**PLEASE SHOW ALL STEPS CLEARLY SINCE I REALLY WANT TO
UNDERSTAND THE WHOLE...
Consider a tank containing at time t = 0, 100 gallons of brine. Assume that water...
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of brine. Assume that water containing 1/4 lb of salt per gallon is
entering the tank at a rate of 3 gallons per minute, and that the
well stirred solution is leaving the tank at the same rate. Find a
differential equation for the amount of salt A(t) in the tank at
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**PLEASE SHOW ALL STEPS CLEARLY SINCE I REALLY WANT TO
UNDERSTAND THE WHOLE...
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