Suppose the clean water of a stream flows into Lake Alpha,
then into Lake Beta, and then further downstream.
The in and out flow for each lake is 100 liters
per hour. Lake Alpha contains 400 thousand
liters of water, and Lake Beta contains 100
thousand liters of water. A truck with 500
kilograms of Kool-Aid drink mix crashes into Lake
Alpha. Assume that the water is being continually
mixed perfectly by the stream.
- Let be the amount of Kool-Aid, in
kilograms, in Lake Alpha hours after the
crash. Find a formula for the incremental change in
the amount of Kool-Aid, ,
in terms of the amount of Kool-Aid in the lake
and the incremental change in time .
Enter as Deltat.
kg
- Find a formula for the amount of Kool-Aid, in
kilograms, in Lake Alpha hours after the
crash.
kg
- Let be the amount of Kool-Aid, in
kilograms, in Lake Beta hours after the
crash. Find a formula for the incremental change in
the amount of Kool-Aid, , in terms of
the amounts , and the incremental change
in time . Enter as
Deltat.
kg
- Find a formula for the amount of Kool-Aid in
Lake Beta hours after the crash.
kg
You can earn partial credit on this problem.