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
