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A cylindrical container, 80 cm in diameter is initially filled with water to a depth of 119.367 cm. Then 0.05 kilograms of salt are dissolved in the tank. Brine containing 2 grams of salt per liter is then pumped into the tank at the rate of 0.006 m³ per minute and the solution mixed well is pumped out of the same rate. Find: a. The number of grams of salt in the tank at any time (in minutes) b. The amount of salt(grams) in the tank after 8 minutes. c. The time when the amount of salt in the tank is 200 grams.

A cylindrical container, 80 cm in diameter is initially filled with water to a depth of 119.367 cm. Then 0.05 kilograms of salt are dissolved in the tank. Brine containing 2 grams of salt per liter is then pumped into the tank at the rate of 0.006 m³ per minute and the solution mixed well is pumped out of the same rate. Find: a. The number of grams of salt in the tank at any time (in minutes) b. The amount of salt(grams) in the tank after 8 minutes. c. The time when the amount of salt in the tank is 200 grams.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A cylindrical container, 80 cm in diameter is initially filled with water to a depth of 119.367 cm. Then 0.05 kilograms of salt are dissolved in the tank. Brine containing 2 grams of salt per liter is then pumped into the tank at the rate of 0.006 m³ per minute and the solution mixed well is pumped out of the same rate. Find: a. The number of grams of salt in the tank at any time (in minutes) b. The amount of salt(grams) in the tank after 8 minutes. c. The time when the amount of salt in the tank is 200 grams.
Transcribed Image Text:A cylindrical container, 80 cm in diameter is initially filled with water to a depth of 119.367 cm. Then 0.05 kilograms of salt are dissolved in the tank. Brine containing 2 grams of salt per liter is then pumped into the tank at the rate of 0.006 m³ per minute and the solution mixed well is pumped out of the same rate. Find: a. The number of grams of salt in the tank at any time (in minutes) b. The amount of salt(grams) in the tank after 8 minutes. c. The time when the amount of salt in the tank is 200 grams.
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