------------------------------------ Two tanks, each holding 50 L of liquid, are

Question

------------------------------------

Two tanks, each holding 50 L of liquid, are interconnected by pipes with liquid flowing from tank A into tank B at a rate of 4 L/min and from tank B into tank A at 1 L/min. The liquid inside each tank is kept well stirred. Pure water flows into tank A at a rate of 3 L/min, and the solution flows out of tank B at 3 L/min. If, initially, tank A contains 2.5 kg of salt and tank B contains no salt(only water). Give the initial value problem that describes the mass of the salt in the tanks as a matrix system in normal form. Do Not Solve!

Explanation / Answer

for tank A

50dx1/dt = - 4x1 + x2

at t= 0, x1 = 2.5/50 = 0.05

for tank b

50dx2/dt = 4x1 - x2 - 3x2 = 4(x1 - x2)

at t=0, x2 = 0

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.