1. A tank initially contains 200 liters of saltwater, with a concentration of 2g/L salt. Saltwater...

1. A tank initially contains 200 liters of saltwater, with a concentration of 2g/L salt. Saltwater with a concentration of 5g/L flows into the tank at 2L/min and the well-mixed solution flows out of the tank at the rate of 4L/min.

(a) Set up, but do NOT solve, the initial value problem whose solution will be the VOLUME OF LIQUID in the tank as a function of time

(b) Solve the IVP from the previous part and find the volume of liquid in the tank as a function of time.

(c) Set up, but do NOT solve, the initial value problem whose solution will be the MASS OF SALT in the tank as a function of time.

(d) Solve the IVP in part (c) and determine the mass of salt in the tank as a function of time (Show your work)

Expert Solution

Colby Messinger answered 1 year ago

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