Problem

A 200 -gal tank is half full of distilled water. …

02:55

Problem 13 Medium Difficulty

A tank initially contains 100 gal of brine in which
50 lb of salt is dissolved. A brine containing 2 Ib/gal of salt runs into the tank at the rate of 5 gal/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 4 gal/min.
a. At what rate (pounds per minute) does salt enter the tank at time $t ?$
b. What is the volume of brine in the tank at time $t ?$
c. At what rate (pounds per minute) does salt leave the tank at time $t ?$
d. Write down and solve the initial value problem describing the mixing process.
e. Find the concentration of salt in the tank 25 min after the process starts.

Answer

Related Courses

Calculus 2 / BC

University Calculus: Early Transcendentals

Chapter 16

First-Order Differential Equations

Section 3

Applications

Discussion

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Avishkar S.

July 14, 2021

A tank initially contains 100 gallons of brine in which there is dissolved 20 lb of salt. Starting at t ! 0, brine containing 3 lb of dissolved salt per gallon flows into the tank at the rate of 4 gal/min. The mixture is kept uniform by stirring and the

Fadi M.

December 14, 2021

bro in part d how did you go from the differential equation to y(t) = 2(100 + t) - ...

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Video Transcript

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