Initally, a 100-liter tank contains a salt solution with concentration 0.5 kg/liter. A fresher solution with concentration 0.1 kg/liter flows into the tank at the rate of 4 liters/min. The contents of the tank are kept well-stirred, and the mixture flows out at the same rate it flows in. For the questions below, we measure t in minutes.
Determine the concentration (in kg/L) in the tank as a function of t time .
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
x' = flow in - flow out
x'/100 = concentration at t
I figured that out minutes after asking :p
this took me awhile but i think i got it
C(t) = (50+0.4t)/(100+4t)
this came from
the salt coming in was 0.1*4t
salt going out was C(t)*4t
net salt = C(t)*4t - 0.1*4t
initial salt content = 50
C(t) = (50 - net salt)/100