onsider two tanks T1 and T2 with T1 containing 50 gallons of water in which 25 pounds of salt is dissolved and T2 containing 50 gallons of pure water. Pure water flows from outside into T1 at a rate of 4 gal/min and salt solution is circulated at rates of 6 gal/min from T1 to T2 and 2 gal/min from T2 to T1. If the content of T2 is withdrawn out of the system at the same rate as the pure water to T1 (i.e., 4 gal/min) to ensure no liquid volume change in the system, and the mixture in each tank is well mixed, find the salt contents y1 (t) and y2 (t) in T1 and T2 respectively. Determine the time it would take for the salt contents in the two tanks to be eq
Consider two tanks T1 and T2 with T1 containing 50 gallons of water in which 25 pounds of salt is
dissolved and T2 containing 50 gallons of pure water. Pure water flows from outside into T1 at a
rate of 4 gal/min and salt solution is circulated at rates of 6 gal/min from T1 to T2 and 2 gal/min
from T2 to T1. If the content of T2 is withdrawn out of the system at the same rate as the pure
water to T1 (i.e., 4 gal/min) to ensure no liquid volume change in the system, and the mixture in
each tank is well mixed, find the salt contents y1 (t) and y2 (t) in T1 and T2 respectively. Determine
the time it would take for the salt contents in the two tanks to be equal.
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