💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!



Numerade Educator



Problem 48 Easy Difficulty

A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5L/min. Brine that contains 0.04 kg of salt per liter of water enters the tank at a rate of 10L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15L/min. How much salt is in the tank (a) after $ t $ minutes and (b) after one hour?


a) $y=\frac{130}{3}\left(1-e^{-3 t / 200}\right)$
b) 25.72 $\mathrm{kg}$


You must be signed in to discuss.

Video Transcript

uh, it well do I need e equals 1 13 minus three. Why are one It was the relational DDO are under. However, it is more one that in my industry my over march minus treaty country 150 we have minus one upon three and then model 1 30 If you see off my as one about three. And then 1 23 You could do to you on 200 minus one of our three and then on one. So it is minus on a country more. 1 30 minus last one for three years, then 1 30 even to dio on 200. No, it is more 1 13 minus three, right? I won t mind. So it stays there. It's sequence too. Hello? 1 30 minus two y or 1 90 equal Do minus treaty over 200. No, it would one day my asked by over 1 30 people toe get a power minus tricky. What we have is people's too minus C by equal to 1 30 you power minus treaty over 200 minus three equals to 1 30 My 1 30 are minor treaty on it. Are why? Well 1 30 upon tree when my last are minor trading upon did you for? But he had the problem. No, me. How about be well but be we have Why were 1 30.31 minus minus treaty upon 200? Now while 60 is when people to one today upon tree one hour wanted Teoh for the revelation we have? Why 60? Let's do 25.71 Find that disease too 25 points to kizzie, which is the answer