A 500 gal capacity tank initially contains 200 gal of water and 5 Ibs of salt per gallon. To reduce the concentration, water at the rate of 3 gal/min enters the tank and the thoroughly mixed solution flows out at the same rate. After 20 min. the process is stopped and brine solution flows into the tank at the same rate of 3 gal/min and at a concentration of 2 Ibs/gal. The mixed solution flows out at the rate of 2 gal/min. Find the amount of salt in the tank 30 min. after resumption of the process.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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A 500 gal capacity tank initially contains 200 gal of water and 5 Ibs of salt per
gallon. To reduce the concentration, water at the rate of 3 gal/min enters the
tank and the thoroughly mixed solution flows out at the same rate. After 20
min. the process is stopped and brine solution flows into the tank at the same
rate of 3 gal/min and at a concentration of 2 Ibs/gal. The mixed solution flows
out at the rate of 2 gal/min. Find the amount of salt in the tank 30 min. after
resumption of the process.
O 699.79 Ib
O 717.71 lb
O 560.17 Ib
O 913.68 Ib
Transcribed Image Text:A 500 gal capacity tank initially contains 200 gal of water and 5 Ibs of salt per gallon. To reduce the concentration, water at the rate of 3 gal/min enters the tank and the thoroughly mixed solution flows out at the same rate. After 20 min. the process is stopped and brine solution flows into the tank at the same rate of 3 gal/min and at a concentration of 2 Ibs/gal. The mixed solution flows out at the rate of 2 gal/min. Find the amount of salt in the tank 30 min. after resumption of the process. O 699.79 Ib O 717.71 lb O 560.17 Ib O 913.68 Ib
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