Like
Report
Numerade Educator
Problem 45 Easy Difficulty
A tank contains 1000 L of brine with 15 kg of dissolved salt. Pure water enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. How much salt is in the tank (a) after $ t $ minutes and (b) after 20 minutes?
Answer
a) $y=15 e^{-t / 100} \mathrm{kg}$
b) $y \approx 12.28 \mathrm{kg}$
Topics
Differential Equations
Discussion
You must be signed in to discuss.
Top Calculus 2 / BC Educators
Catherine R.
Missouri State University
Caleb E.
Baylor University
Samuel H.
University of Nottingham
Michael J.
Idaho State University
Watch More Solved Questions in Chapter 9
Video Transcript
the problem. We have a time on dance from the leader off brown with 15 of the dollar. Saad. Yeah, it is like this. Yeah, 10 10,000 Later. When you 15 kids. No, it is coming on you on, But also have it their holy How you are over the right minus rate out. That is what it's coming inside, dying And what is going on time. So we have in that rate in is 10 0 equals zero on equals minus. Why don't and then people my ass? Why under now the sequel Do you? I already you asks my No what we have you do I Warney Well, miners. And why 100? Why were while he was minus DD That is Why do my am I afraid? Let's see way have why Waas devour my nasty 100 and do the bar scene. So this is equal to you. Where Posse? No, we are the after demon yet that is after Dan. We have Why 100 c r c Yeah. You know even our Why do you about minus 200 last 11 15 if one won't you know, Dynasty upon 100 in power. 15 15 You power minus? Do you go on 100? So this is the answer back. You have a problem now? This is no way. Be off the problem, man. After a friend Timmy it Why can t Even as a 15 year power minus 20 bomb and response to 12.28 that is equivalent to 12.3. Is he just answer?
Other Schools
Topics
Differential Equations
Top Calculus 2 / BC Educators
Catherine R.
Missouri State University
Caleb E.
Baylor University
Samuel H.
University of Nottingham
Michael J.
Idaho State University