Consider two continuously-stirred tanks filled with brine solutions connected with flows feeding into one another. The...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider two continuously-stirred tanks filled with brine solutions connected with flows feeding into one another. The first tank is charged with 40 L water and 5 kg salt and the second with 20 L water and 4 kg salt. The flow rates into each of the tanks from the other are equivalent at 10 L min. Let x₁ and x₂ be the mass of salt in tanks 1 and 2, respectively, at anytime I. By performing a differential balance on each the tanks show that the resulting differential equations can be written in matrix form as d #()-(3)() = What are the values of a, b, c and d? Please note: you are not being asked to solve the differential equations, but we will look at how we can do that over the next few weeks. This is another application of linear algebra-solving systems of linear differential equations. Consider two continuously-stirred tanks filled with brine solutions connected with flows feeding into one another. The first tank is charged with 40 L water and 5 kg salt and the second with 20 L water and 4 kg salt. The flow rates into each of the tanks from the other are equivalent at 10 L min. Let x₁ and x₂ be the mass of salt in tanks 1 and 2, respectively, at anytime I. By performing a differential balance on each the tanks show that the resulting differential equations can be written in matrix form as d #()-(3)() = What are the values of a, b, c and d? Please note: you are not being asked to solve the differential equations, but we will look at how we can do that over the next few weeks. This is another application of linear algebra-solving systems of linear differential equations.
Expert Answer:
Answer rating: 100% (QA)
Solution ol larger tank salt in the maller concentration of nalt total amount of total amount Volume ... View the full answer
Related Book For
Thermodynamics An Engineering Approach
ISBN: 978-0073398174
8th edition
Authors: Yunus A. Cengel, Michael A. Boles
Posted Date:
Students also viewed these mathematics questions
-
Let x1 and x2 be (b + 1)- bit binary numbers with magnitude less than 1. To compute the sum of x1 and x2 using twos-complements representation we treat them as (b + 1)-bit unsigned numbers, we...
-
Let X1 and X2 be two continuous random variables having the joint probability density Find the joint probability density of Y1 = X21 and Y2 = X1X2. 4r 0 for 0,0 <12 <1 fa,2)o elewhere
-
Let X1 and X2 be as in Exercise 7. Find the p.d.f. of Y = X1 + X2.
-
Review Organicos financial statements presented in the chapter for the month ended March 31, 2017. Review the balance sheet and determine the business form Hailey Walker has chosen to organize her...
-
Based on its home ownership survey, home mortgage giant Fannie Mae reports significant differences in home buying knowledge between demographic groups.In a random sample of 236 college educated...
-
The lightweight glass sphere in FIGURE Q29.1 hangs by a thread. The north pole of a bar magnet is brought near the sphere. a. Suppose the sphere is electrically neutral. Is it attracted to, repelled...
-
The geometric mean is often used in business and economics for finding average rates of change, average rates of growth, or average ratios. Given n values (all of which are positive), the geometric...
-
The following is a partial trial balance for the Green Star Corporation as of December 31, 2011: 100,000 shares of common stock were outstanding throughout 2011. Required: 1. Prepare a single-step...
-
How did the New Jersey Supreme Court narrow the learned intermediarydoctrine in Perez v. Wyeth Laboratoriesand what was the rationale for the court's decision? Why couldn't the defendants in Brocato...
-
On December 31, the Income Summary account of Davidson Company has a debit balance of $111,000 after revenue of $117,000 and expenses of $228,000 were closed to the account. Jackson Davidson, Drawing...
-
Write a program to compute the following Result= (x + y)5 y y 2* Z
-
Explain how to create primary and foreign keys using SQL. What is normalization? What are some of the problems caused by incomplete or improper normalization of the database?
-
Q1 What is the present value of $28,000 to be received 14 years from today? Assume a discount rate of 4%? Q2 What is the present value of an annuity of $5,500 received at the beginning of each year...
-
A maker of wooden furniture can produce three different types of furniture: sideboards, tables and chairs. Two machines are used in the production - a jigsaw and a lathe. The manufacture of a...
-
Q22) You purchases a house for$184,457.00 .You made a down payment of 20,000 and the remainder of the purchase price was financed with a mortgage loan.The mortgage loan is a 30 year mortgage with an...
-
Multiple-step income statement and balance sheet The following selected accounts and their current balances appear in the ledger of Kanpur Co. for the fiscal year ended June 30, 20Y7: Cash Retained...
-
How would you communicate with someone who holds a different view than yourself in a way that is logically sound but does not deny the human dignity of the other person?
-
Which internal control principle is especially diffi cult for small organizations to implement? Why?
-
An air-standard Diesel cycle has a compression ratio of 16 and a cutoff ratio of 2. At the beginning of the compression process, air is at 95 kPa and 27oC. Accounting for the variation of specific...
-
In order to cool 1 ton of water at 208C in an insulated tank, a person pours 80 kg of ice at 25oC into the water. Determine the final equilibrium temperature in the tank. The melting temperature and...
-
Show that when the two phases of a two-component system are in equilibrium, the specific Gibbs function of each phase of each component is the same.
-
What is a principal-agent problem that may exist in a corporation?
-
What are the three main tasks of a financial manager?
-
How may the use of leases shift the risk of rising operating expenses from the lessor to the lessee?
Study smarter with the SolutionInn App