1. A tank 5000-liter capacity tank, containing 400 liters of sugar water bearing 20 kg of sugar is connected to a source of sugar water of concentration 0.5 kg/liter. This sugar water mixture is pumped into the tank at a rate of 3 liters per second. Constant mixing keeps the concentration of sugar in the tank uniform. If sugar water leaves the tank at 4 liters per second, find the time at which the amount of sugar in the tank reaches its maximum value and the amount of sugar in that is in the tank at that time.
1. A tank 5000-liter capacity tank, containing 400 liters of sugar water bearing 20 kg of sugar is connected to a source of sugar water of concentration 0.5 kg/liter. This sugar water mixture is pumped into the tank at a rate of 3 liters per second. Constant mixing keeps the concentration of sugar in the tank uniform. If sugar water leaves the tank at 4 liters per second, find the time at which the amount of sugar in the tank reaches its maximum value and the amount of sugar in that is in the tank at that time.
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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1. A tank 5000-liter capacity tank, containing 400 liters of sugar water bearing 20 kg of sugar is connected to a source of sugar water of concentration 0.5 kg/liter. This sugar water mixture is pumped into the tank at a rate of 3 liters per second. Constant mixing keeps the concentration of sugar in the tank uniform. If sugar water leaves the tank at 4 liters per second, find the time at which the amount of sugar in the tank reaches its maximum value and the amount of sugar in that is in the tank at that time.
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