A Tank Is Filled with 200 Gallons of Brine in Which

question 154

Essay

A tank is filled with 200 gallons of brine in which is dissolved 5 pounds of salt. Brine containing 0.1 pound of salt per gallon enters the tank at a rate of 2 gallons per minute, and the well-stirred mixture is drawn from the talk at the same rate.(a) Find the amount of salt in the tank at time $t$ .(b) How much salt is present in the tank after 20 minutes?
(c) How much salt is present after a long time? What is the concentration then?

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Definitions:

Note Payable

A written promise to pay a certain amount of money on a specific future date, representing a liability for the issuer.

Account Payable

A liability represented by an obligation to pay off a short-term debt to its creditors or suppliers.

Notes Payable

An accounting term for amounts owed by a business that are evidenced by promissory notes.

Borrower

An individual or entity that receives something with the agreement to return it or its equivalent to the lender at a later date.