Question: Solve Exercise 22 if the brine solution is introduced at the rate of 3 gal per minute while the rate of outflow remains the same.

Solve Exercise 22 if the brine solution is introduced at the rate of 3 gal per minute while the rate of outflow remains the same.

Exercise 22

A tank holds 100 gal of water that contains 20 lb of dissolved salt. A brine (salt) solution is flowing into the tank at the rate of 2 gal per minute while the solution flows out of the tank at the same rate. The brine solution entering the tank has a salt concentration of 2 lb per gal.
(a) Find an expression for the amount of salt in the tank at any time.
(b) How much salt is present after 1 hour?
(c) As time increases, what happens to the salt concentration?

Step by Step Solution

★★★★★

3.23 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let y the amount of salt present at time t a Therefore Since t 0 wh... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Calculus With Applications Questions!

Solve Exercise 22 if the brine solution is introduced at the rate of 1 gal per minute while the rate of outflow stays the same. Exercise 22 A tank holds 100 gal of water that contains 20 lb of...

Find an expression for E(Yk) if MY(t) = (1 t/)r, where is any positive real number and r is a positive integer.

Solve Exercise 22 if pure water is added instead of brine. Exercise 22 A tank holds 100 gal of water that contains 20 lb of dissolved salt. A brine (salt) solution is flowing into the tank at the...

Probability assignment, Three similar methods of determining the biological oxygen demand of a waste stream are compared. Two technicians who are experienced in this type of work are available, but...

Thank you so much ahead of time. These are homework questions that are due tomorrow Chapter 2. Scalal Exercise 2.6.3. A saltwater solution at a concentration of 6 g/ m" enters a 25 ms tank at a flow...

See page 129- 137 on attachment for more details there are five steps to the project. Step 1: Create the loan amortization schedule for the property. Step 2: Create the depreciation schedule. Step 3:...

UNIT 5 QZ, Q-20 UNIT 5 / UNIT 8 QUESTIONS KEEP ANSWERS SEPARATE BY UNITS UNIT II STUDY GUIDE Consumer Mathematics Reading Assignment See information below. Key Terms 1. Add-on interest method 2....

Due Sunday, 11/20: Problems from Zimmerman text: 2-11, 2-44, Case 2-3, 7-7, and 7-20 Chapter Two The Nature of Costs Chapter Outline A. Opportunity Costs 1. Characteristics of Opportunity Costs 2....

9/14/10 12:39 PM Page 381 Chapter dug84356_ch06a.qxd 6 Rational Expressions Advanced technical developments have made sports equipment faster, lighter, and more responsive to the human body. Behind...

What is an activity cost driver?

Kays Agency has the following payroll information for the week ended December 14. State income tax is computed as 20 percent of federal income tax. Assumed tax rates are as follows: a. FICA: Social...

Which of the following statements is true ( only one of the statements is true ) ? Maintenance margin is always higher than initial margin Basis is always negative A tick is the maximum price by...

What determines whether or not to issue an unqualified audit opinion on the compliance of a set of financial statements with IFRS?

Paleontologist John Cisne has demonstrated that the survival of ancient manuscripts can be modeled by the logistic equation. For example, the number of copies of the Venerable Bedes De Temporum...

According to work by the psychologist C. L. Hull, the strength of a habit is a function of the number of times the habit is repeated. If N is the number of repetitions and H(N) is the strength of the...

Often sales of a new product grow rapidly at first and then level off with time. This is the case with the sales represented by the function where t represents time in years. Find the rate of change...

The following additional data about Randy's sales, production costs, and other expenses follow: Randy's Kayaks, Inc., additional data Cash collections: (all sales are on account) Time period for...

Suppose you are going to receive $13,100 per year for six years. The appropriate interest rate is 6.8 percent. What is the present value of the payments if they are in the form of an ordinary...

8 2 of 2 Book Print rences At the beginning of the year, Plummer's Sports Center bought three used fitness machines from Primo Fitness, an established supplier of used, new and refurbished gym...