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Strike441 [17]
3 years ago
11

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

pt thoroughly mixed and drains from the tank at the same rate. How much salt is in the tank after t minutes?
Mathematics
2 answers:
Lilit [14]3 years ago
7 0

Answer:

its 5000kg

Step-by-step explanation:

KATRIN_1 [288]3 years ago
4 0

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,

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