ZILLDIFFEQMODAP11 3.1.021. My Notes Ask Your Teacher A tank contains 150 liters of fluid in which 10 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.

Therefore, the number of grams of salt in the tank at time t is

Explanation:

Given:

Tank A contain lit

Rate

Dissolved salt gm

Salt pumped in one minute is

Salt pumped out is of initial amount added salt.

To find

Solving above equation,

Integrating on both side,

Add on above equation,

Here given in question,

Put value of constant in above equation, and find the number of grams of salt in the tank at time t.

Therefore, the number of grams of salt in the tank at time t is

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