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A 60-L tank contains 40L of alcohol mixture at 60% concentration. An additional alcohol mixture of 90% concentration is flowed into the tank at the rate of 2L/min. To prevent premature filling of the tank, its nozzle is opened to expel the mixture in the tank at the rate of 1L/min. a. What is the amount of alcohol in the tank (in L) at time t? b. At what point in time would there be 40L of pure alcohol in the tank mixture? c. What is the amount of alcohol in the tank (in L) at the time of overflow?

A 60-L tank contains 40L of alcohol mixture at 60% concentration. An additional alcohol mixture of 90% concentration is flowed into the tank at the rate of 2L/min. To prevent premature filling of the tank, its nozzle is opened to expel the mixture in the tank at the rate of 1L/min. a. What is the amount of alcohol in the tank (in L) at time t? b. At what point in time would there be 40L of pure alcohol in the tank mixture? c. What is the amount of alcohol in the tank (in L) at the time of overflow?

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 60-L tank contains 40L of alcohol mixture at 60% concentration. An additional alcohol mixture of 90% concentration is flowed into the tank at the rate of 2L/min. To prevent premature filling of the tank, its nozzle is opened to expel the mixture in the tank at the rate of 1L/min. a. What is the amount of alcohol in the tank (in L) at time t? b. At what point in time would there be 40L of pure alcohol in the tank mixture? c. What is the amount of alcohol in the tank (in L) at the time of overflow?
Transcribed Image Text:A 60-L tank contains 40L of alcohol mixture at 60% concentration. An additional alcohol mixture of 90% concentration is flowed into the tank at the rate of 2L/min. To prevent premature filling of the tank, its nozzle is opened to expel the mixture in the tank at the rate of 1L/min. a. What is the amount of alcohol in the tank (in L) at time t? b. At what point in time would there be 40L of pure alcohol in the tank mixture? c. What is the amount of alcohol in the tank (in L) at the time of overflow?
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