A tank contains 1000L of brine with 10kg of dissolved salt. Pure water enters the tank at a rate of 25 L/min. The solution is ke

Question

2 years ago

11

pt thoroughly mixed and drains from the tank at the same rate. How much salt is in the tank after t minutes?

2 answers:

Lilit [14] · Answer 1 · 2022-08-05T09:44:23+03:00

Lilit [14]2 years ago

7 0

Answer:

its 5000kg

Step-by-step explanation:

KATRIN_1 [288] · Answer 2 · 2022-08-05T11:11:52+03:00

Answer:

(a) 5000 kilos

Step-by-step explanation:

If is the amount of salt (in kg) after minutes, then and the total amount of liquid in the tank remains constant at 1000 L.

and

Because , we have

so

Since is continuous, , and the right-hand side is never zero, we deduce that is always positive.

Thus, and

(b)

After one hour,