A fish tank initially contains 30 liters of pure water.
Brine of constant, but unknown, concentration of
salt is flowing in at 3 liters per minute. The
solution is mixed well and drained at 3 liters
per minute.
- Let be the amount of salt, in
grams, in the fish tank after minutes
have elapsed. Find a formula for the incremental
change in the amount of salt, ,
in terms of the amount of salt in the solution ,
the unknown concentration of incoming brine ,
and the incremental change in time .
Enter as Deltat.
grams
- Find a formula for the amount of salt, in
grams, after minutes have elapsed. Your answer
should be in terms of and .
grams
- In 15 minutes there are 25 grams
of salt in the fish tank. What is the concentration
of salt in the incoming brine?
g/L
You can earn partial credit on this problem.