abb0t
  • abb0t
A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially held 100 L of pure water. The solution inside the tank is kept well stirred and flows out of the tank at a rate of 3 L/min. If the concentration of salt in the brine entering the tank is .2 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.1 kg/L?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
You'll have to set this up as a differential equation. If Q(t) is the amount of salt in the tank, then the derivative of Q(t) is Q'(t)=.2*4*t-3*(Q(t)/(100+t)). The initial conditions are Q(0) = 0. Once you solve for Q(t) you then need to solve for t in Q(t)/(100+t) = .1.
anonymous
  • anonymous
Sorry, the .2*4*t should instead be just .2*4.

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