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Initially 10 grams of salt are dissolved into 35 liters of water. Brine with concentration of...

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Basic Math

Initially 10 grams of salt are dissolved into 35 liters ofwater. Brine with concentration of salt 4 grams per liter is addedat a rate of 5 liters per minute. The tank is well mixed anddrained at 5 liters per minute.

A.Let x be the amount of salt, in grams, in thesolution after t minutes have elapsed. Find a formula forthe rate of change in the amount of salt,dx/dt, in terms of the amountof salt in the solution x.
dxdt= grams/minute

B. Find a formula for the amount of salt, in grams, aftert minutes have elapsed.
x(t)= grams

C. How long must the process continue until there are exactly 20grams of salt in the tank?

minutes

Answer & Explanation Solved by verified expert
3.8 Ratings (483 Votes)
AFirstly we will set up differential    See Answer
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