Question: Two large containers A and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at

Two large containers A and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0° C and 100° C, respectively. A small metal bar, whose initial temperature is 100° C, is lowered into container A. After 1 minute the temperature of the bar is 90° C. After 2 minutes the bar is removed and instantly transferred to the other container. After 1 minute in container B the temperature of the bar rises 10°. How long, measured from the start of the entire process, will it take the bar to reach 99.9° C?

Step by Step Solution

★★★★★

3.32 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The differential equation for the first container is dT 1 dt k 1 T 1 0 k 1 T 1 whose solution is T 1 ... 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

Document Format (2 attachments)

1596_6062c74d0151a_676426.pdf

180 KBs PDF File

1596_6062c74d0151a_676426.docx

120 KBs Word File

Students Have Also Explored These Related First Course Differential Equations Questions!

Construct an example to demonstrate that (A + B)-1 = A-1 + B-1 is not true for all square matrices A and B of the same size.

The favorite movie genres of students in one of the authors statistics classes are shown in Table 31. a. Use technology with seed 43 to randomly select 6 students without replacement. b. For the...

The commutator of two matrices A, B, is defined to be the matrix C = [A.B] = AB - BA. (1.12) (a) Explain why [A.B] is defined if and only if A and B are square matrices of the same size. (b) Show...

solve these please 6. [-/1 Points] DETAILS ZILLDIFFEQ9 3.1.016. MY NOTES ASK YOUR TEACHER PRACTICE ANO Two large containers A and B of the same size are filled with different fluids. The fluids in...

QUESTION: Two large containers A and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0 C and 100 C, respectively. A small metal bar, whose...

Two large containers A and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0 C and 1 0 0 C , respectively. A small metal bar, whose initial...

1 - Two large containers A and B of the same size are filled with different fluids. The fluids in containers A and Bare maintained at 0 \ deg C and 1 0 0 \ deg C , respectively. A small metal bar,...

Many introductory courses in probability and statistics encourage students to collect and analyze real data. A popular experiment in categorical data analysis is to give students a bag of M&M candies...

I need help to better understand these math problems please. Question 12: 13. [-I4 Points] DETAILS SPRECALC7 10.1.069.Ml. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A chemist has two large containers...

UPDATED 8:25 @{ 46 l 24% NPD book.pdf - Read-only RA KY buyer behaviour and is beyond the scope of this book. Case study How three students built a business that could affect world trade This case...

On October 1, 2013, Caldonia Company paid East Alabama Rentals $4,800 for a 12-month lease on warehouse space. Required a. Record the deferral and the related December 31, 2013, adjustment for...

Your Bioresearch Facility orders Aardvark DNA strands each year. You need 1816 Aardvark DNA strands. Storing Aardvark DNA strands costs $3 per strand per year? Because of the detail required each...

give me correct answer Solve. X = 3x2 - 21 = 0 (Simplify your answer. Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed.)

The world price of wine is below the price that would prevail in Canada in the absence of trade. a. Assuming that Canadian imports of wine are a small part of total world wine production, draw a...

Find phase portraits for the systems in Problems 20 and 21. For each system find any half-line trajectories and include these lines in your phase portrait. Problems 20 and 21. dx -6x + 5y dt -5x + 4y...

In problem use (14) to solve the given initialvalue problem. x' = (; )x G) xo=(-) X' = )x + X(1) = 1

Find the general solution of the given system. dx = 6x - y dt dy 5x + 2y dt

Alpha Electronics can purchase a needed service for $90 per unit. The same service can be provided by equipment that costs $110,000 and that will have a salvage value of zero at the end of 10 years....

What is the leaf on a binary tree

You are evaluating two different silicon wafer milling machines. The Techron I costs $ 2 9 1 , 0 0 0 , has a 3 - year life, and has pretax operating costs of $ 8 0 , 0 0 0 per year. The Techron II...