A large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt
Question:
A large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is dissolved. Brine containing 1/2 pound of salt per gallon is pumped into the tank at a rate of 6 gal/min. The well mixed solution is then pumped out at a slower rate of 4 gal/min. Find the number of pounds of salt in the tank after 30 minutes.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (8 reviews)
Since there is flow both in and out of the tank so dAdt R in R out 1 R in concentration of salt infl...View the full answer
Answered By
Prateek Agarwal
I am currently studying at IIT Roorkee . I am a subject expert and I am having a lot of experience of solving doubts of students online. I have been given tags of Great Conversation, Lightning Quick, Awesome Explanation, Genius ,etc from the students across the globe.
0.00
0 Reviews
10+ Question Solved
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
Question Posted:
Students also viewed these Mathematics questions
-
A large tank is filled with water when an outflow valve is opened at t = 0. Water flows out at a rate, in gal/min, given by Q'(t) = 0.1(100 - t 2 ), for 0 t 10. a. Find the amount of water Q(t)...
-
A cylindrical container of radius r and height L is partially filled with a liquid whose volume is V. If the container is rotated about its axis of symmetry with constant angular speed, then the...
-
A container in the shape of an inverted cone has height 16 cm and radius 5 cm at the top. It is partially filled with a liquid that oozes through the sides at a rate proportional to the area of the...
-
In your opinion, was Saks' zero tolerance policy for employee theft reasonable? Was the policy likely cost-effective? Defend your answers.
-
What is theoretical capacity?
-
A hoisting drum, having a weight \(W_{1}\), is mounted at the end of a steel cantilever beam of thickness \(t\), width \(a\), and length \(b\), as shown in Fig. 5.34. The wire rope is made of steel...
-
Which correctly represents the flow of information from one financial statement to another? a. Income statement to the statement of retained earnings b. Statement of retained earnings to the balance...
-
Paula Judge owns Judge Creative Designs. The trial balance of the firm for January 31, 2019, the first month of operations, is shown below. INSTRUCTIONS Complete the worksheet for the month. Prepare...
-
In Red Alert! Dr. Wildcat mentions how the world humankind may have collective lost because modern human societies so little values knowledges found beyond the protocols of narrowly defined...
-
What is each shareholder's realized gain or loss? b. What is each shareholder's recognized gain or loss? c. What is each shareholder's basis in their stock? When does their holding period begin? d....
-
Determine the amount of salt in the tank at time t in Example 5 if the concentration of salt in the inflowis variable and given by c in (t) = 2 + sin(t/4) lb/gal. Without actually graphing,...
-
In Example 5 the size of the tank containing the salt mixture was not given. Suppose, as in the discussion following Example 5, that the rate at which brine is pumped into the tank is 3 gal/min but...
-
A garage business has an old car that it bought several months ago. The car needs a replacement engine before it can be driven. It is possible to buy a reconditioned engine for 300. This would take...
-
Shanahan Construction Company has entered into a contract beginning January 1, 2015, to build a parking complex. It has been estimated that the complex will cost \($600\),000 and will take 3 years to...
-
Meng Group is preparing the comparative financial statements for the annual report to its shareholders for fiscal years ended May 31, 2015, and May 31, 2016 (yen in thousands). The income from...
-
On July 10, 2015, Amodt Music sold CDs to retailers on account and recorded sales revenue of 700,000 (cost 560,000). Amodt grants the right to return CDs that do not sell in 3 months following...
-
Tablet Tailors sells tablet PCs combined with Internet service (Tablet Bundle A) that permits the tablet to connect to the Internet anywhere (set up a Wi-Fi hot spot). The price for the tablet and a...
-
In its annual report, Campbell Soup Company (USA) reports beginning-of-the-year total assets of \($7\),745 million, end-of-the-year total assets of \($6\),445 million, total sales of \($7\),867...
-
Use the given real number line to compute each distance. d(A, E) -4 -3 -2 -1 0 1 2 3 4 5 6
-
Show that the block upper triangular matrix A in Example 5 is invertible if and only if both A 11 and A 22 are invertible. Data from in Example 5 EXAMPLE 5 A matrix of the form A = [ A11 A12 0 A22 is...
-
In =roblem construct a table comparing the indicated values of y(x) using Eulers method, the improved Eulers method, and the RK4 method. Compute to four rounded decimal places. First use h = 0.1 and...
-
In problem use the improved Eulers method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. y' = 1 + y 2 , y(0) = 0; y(0.5)
-
In problem use the Adams-Bashforth-Moulton method to approximate y(0.8), where y(x) is the solution of the given initial-value problem. Use h = 0.2 and the RK4 method to compute y 1 , y 2 , and y 3 ....
-
Let R be the region below the graph of y = r and above the x axis and between x = -2 and x=2. Find the center of gravity (,) of R, showing your work.
-
Statement of Cost of Goods Manufactured and Income Statement for a Manufacturing Company The following information is available for Shanika Company for 2016: Inventories January 1 December 31...
-
Sharp Company manufactures a product for which the following standards have been set: Direct materials Direct labor Standard Quantity or Hours 3 feet ? hours Rate Standard Price or Standard Cost ?...
Study smarter with the SolutionInn App