Question

A tank contains 100 gal of salt-water which contains 1 lb of salt initially. Assume that the
salt-water is well mixed at any time. Pure water is poured into the tank at a rate of 5 gal/s. Simultaneously,
a drain is opened at the bottom of the tank which allows the salt-water to leave the tank at a rate
of 5 gal/s. How much salt (in lb) is in the tank after 1 minute?

Answer 1

are you taking differential equations?

Answer 2

mixture problem

Answer 3

No this is calculus BC

Answer 4

Hint: You can set up a differential equation for the amount of salt y(t) lbs at the time t seconds using
the following principle:
(rate of change) = (rate in) - (rate out)

Answer 5

right, give me one sec i can help you out

Answer 6

Thank you

Answer 7

Here is an example, it is the same with different numbers

Answer 8

just scanned it , hope it turns out ok

Answer 9

Yeah it turned out fine. I'll give it a read. Thank you

Answer 10

That is from DE class, the application section, it is the same thing

Answer 11

your prob starts with salt already in the tank, the example i linked to you , is pure water initially, slight difference

Answer 12

Yeah but i can see the process and make the changes necessary to fit my problem. Thank you

Answer 13

welcome, not sure if you have ever used the dot notation, the small r with a dot means a rate with time... dot is the first derivative with time