Question

A salt solution containing 2 grams of salt per liter of water
is poured into the tank at a rate 3 liter/min where initially
contains 30 liters of pure water. The mixture then was drained at
the same rate as its poured into the tank. Solve,

Hint:

(??(?) = ???????? ????????????? (??) × ???? ???? (??)? −
????(???? ????????????? (???) ×

i. the initial-value problem that describes the amount of salt
in the tank for t > 0

??

???? ???? (???)

ii. the amount of salt in the tank after 20 minutes.

iii. the amount of salt in the tank after a long time (t →
∞)

Answer #1

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and the uniform mixture drains from the tank at a rate of 2 liters
per minute. Letting t be time in minutes and Q be the amount of
salt in the tank at time t measured in grams, formulate an initial
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per minute. Letting t be time in minutes and Q be the amount of
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A tank initially contains 120 L of pure water. A mixture
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Find the amount A (t) grams of salt in the tank at time t.
Determine the amount of salt in the tank when it is full.

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