HW 6-7 / Problem 1 - Polymath

  • Due Mar 22, 2023 by 2:59pm
  • Points 10
  • Submitting a file upload
  • Attempts 0
  • Allowed Attempts 2

https://fit.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=cf5bfcca-be18-4625-ad30-ac4900fdf159 Links to an external site.

is the prerecorded lecture from last year.  The announcement referred to at the start of the video is now this page.

For the entire HW set:

Open Download coursepacks12withaudio.pptx

and Download sphericaltankdepth.xls from Canvas/Files.   Realize that sphericaltankdepth.xls is the answer.  Your job, probably in another worksheet within the same file, should be to reproduce it using the following instructions in Jobs 1 and 2.

Job 1:  Listen to   Download coursepacks12withaudio.pptx

pp. 53-70.

Job 2: Reproduce Download sphericaltankdepth.xls

using pp. 60-70 of the PowerPoint file.  This is problem 5 on p. 53 of   Download coursepacks12withaudio.pptx.  Send those results to me if not done already.

Job 3:  Solve problems 1, 2, and 3 on p. 53 of Download coursepacks12withaudio.pptx

using Polymath.  If you have a Mac, use either Parallel Desktop or Amazon Web Services just like you did for DataFit, and see the instructions associated with Homework 3.  To solve the problems in Polymath, use the NLE function.  Click the f(x) = button to enter the equation.  Insert a range to search for answers.  Realize that the answers to #1 will be between -5 and 5, the answer to #1 will be between 0 and 1, and the answer to #3 will be between 0 and 0.1999 (If you get an answer of roughly 0.9, then you found a root that would result in a negative mole fraction.).

Job 4: Copy and paste the results from the Download sphericaltankdepth.xls

file to a new file, edit the function in columns C, E, and G to be consistent with problems 1, 2, and 3 (in three separate worksheets).  Put in new initial guesses that are based off of what you saw in Polymath for the prior problem.

Job 5: Put in the functions for problems 1, 2, and 3 into the edited worksheets, and solve via Newton's method.

Job 6: Lastly, do problem 6 on p. 53 (with further explanation on p. 54) of the PowerPoint file.  You may want to see p. 84 of the PowerPoint file for this one, too.  Your answer should be Download watergasshiftequilbrium.xls

.  Although not asked for, you could do this for one case in Polymath and get watergasshift.pol Download watergasshift.pol.

1679511599 03/22/2023 02:59pm