Question

ICEOZA: Solving an couation using MATLAB - (isine Vester inputs) Using the Van der Waals equation of state for a real gas, we can calculate the work produced by a quantity of gas when that gas undergoes a reversible, isothermal expansion at temperature T. from initial volume V, to final volume V. That expression for reversible, isothermal work is as follows: work = ==RTI ( - ) ** ( ) where: R 0.082057; V, -1.25 V - 3.0; n10: T-800:10: 830; a = 42.003; for Aluminum trichloride b-0.2450; for Aluminum trichloride *Note that in is the natural log. In MATL4B, this is the log function ICE07A Part 1: Use the information above and handwrite a syntactically correct MATLAB program USING DOT NOTATION to find the isothermal work for Aluminum trichloride for the given temperatures. CDS-130-Dr. J.Lyver Spring 2019 СЕОЛАВ Page 1 of 2 CDS-130 ICE07AB: BASIC PROBABILITY & (MORE) DOT NOTATION ICE07A Part 2: Take the handwritten code from ICEO7A Part 1 and type it into MATLAB's editor window and run your program. Your code should output the following values for the work: work - 115.2829 -118.9291-122.5753 -126.2215 ICEO7A Part 3: Blackboard will ask you for a screenshot of your code in Part 2 which is working properly. Don't forget to have some comments. (HINT: I gave you 2 in the "where! ICEO7A Part 4: Using everything from ICED7A Part 3, modify your code (saved with a different name) so that V: is now a vector containing the values 3.0, 4.0, 5.0, and 6.0 instead of it being a single scalar value. As before, use dot notation-be CAREFUL with how many dots you now need. BB will ask you how many dots you had in part 3 and how many dots you now have in Part 4 ICE07A Part 5: Type this modified code into MATLAB and run the program. Your values for the work should now be: work - 115.2829 -160.3439 -199.9225-235.5639 ICE07A Part 6: Next save your code with a new name and modify it so that is now a vector with the values: 1.25 1.3.135 14 How many dots does it take for this code? Then UPLOAD your ICE07A Part 6 m file.

Answer 1

For part1 of the answer the below screenshot of the code can be hand written. I have tried my level best to  make the code concise and simple with proper comment lines for each line to explain the code.

I have used octave to solve the problem but the code and functionality is same as Matlab.

- a X Editor Editor File Edit View Debug Run Help *pro2.mx 1 $From the given data for each variable, the required variables to solve a problem are initialised as below 3 R = 0.082057; 4 v1 = 1.25; 5 v2 = 3.0; 6 n = 3.0; T = [800:10:830]; 8 a = 42.003; for Aluminium Trichloride 9 b = 0.2450; for Aluminium Trichloride 11 88% All the required variables are listed above from the given data 13 % Now the Vanderwall's Equation is implemented 15 work = -a*n*2* (1/v2-1/v1) .+ (-n*R* log((v2-n*b)/(vl-n*b)). *T) 17 88 I placed the second part of the equation first as when a*n*2* (1/v2-1/vl) is computed would give a constant i.e. a single number as output. 18 % Dot before an operator is used for doing elemental operations. 20 8% Similarly as stated above i have placed all the variables when computed would give a number first in second part of the equation. 8% I finally placed the temperature vector T at last with elemental multiplication operation to make elemental calculations for each value line: 21 col: 139 encoding: IBM868 eol: CRLF аров е в это U: D: 0.00 MB/S 0.00 MB/s BSO 2 ) 10:31 AM

Below is the output of the following code, I have saved the code as pro2 so used it to run the code

Command Window Octave was configured for "x86_64-164-mingw32". Additional information about Octave is available at https://www.octave.org. Please contribute if you find this software useful. For more information, visit https://www.octave.org/get-involved.html Read https://wwd.octave.org/bugs.html to learn how to submit bug reports. For information about changes from previous versions, type "news'. >> Pro2 -115.28 -118.93 -122.58 -126.22 40 Ogie moliy U: D: 0.00 MB/5 0.00 MB/s ° 0) 10:38 AM

Part 2 and Part 3 are answered above where part2 is typing the above code in matlab editor and part 3 is taking the screen shots of the results after running the code as stated above

Part4

The modified matlab code after making v2 a vector of 3.0,4.0,5.0,6.0

- - o X Editor Editor File Edit View Debug Run Help I.3002. BEDI pro2.m & i pro3.m pro4.mx From the given data for each variable, the required variables to solve a problem are initialised as below 3 4 5 6 7 8 9 R = 0.082057; vl = 1.25; v2 = [3.0:1.0:6.0]; n = 3.0; T = [800:10:830]; a = 42.003; for Aluminium Trichloride b = 0.2450; for Aluminium Trichloride 9 All the required variables are listed above from the given data 11 12 13 % Now the Vanderwall's Equation is implemented 15 work = -a*n*2.*((1./v2).-(1/vl)) .+ (-n R. * log((v2.-n*b)./(vl-n*b)). *T) 17 18 ** I placed the second part of the equation first as when a n^2* (1/v2-1/vl) is computed would give a constant i.e. a single number as output. 3 Dot before an operator is used for doing elemental operations. 20 $ $ Similarly as stated above i have placed all the variables when computed would give a number first in second part of the equation. 21 $$ I finally placed the temperature vector I at last with elemental multiplication operation to make elemental calculations for each value line: 14 col: 1 encoding: IBM868 eol: LF U: D: 0.00 MB/S 0.01 MB/s MBS 40 -» 11:29 AM

The output of the following code is given below

Command Window -115.26 -160.94 -19992–295.56 U: D: 0.00 MB, 5 0.00 MB/s 3 2 4 11:32 AM

Just count the number of dots in code

part3: 02

part4: 08

part5 is just type the modified code and obtain the results from the code as shown above

part6 is modified code after taking v1 also as vector is given below

- O X Editor Editor File Edit View Debug Run Help pro2.m 1 pro3. m p ro4.m pro5.m From the given data for each variable, the required variables to solve a problem are initialised as below 3 4 5 6 7 8 9 R = 0.082057; vl = [1.25:0.05:1.4]; v2 = [3.0:1.0:6.0]; n = 3.0; T = [800:10:830]; a = 42.003; $for Aluminium Trichloride b = 0.2450; for Aluminium Trichloride 11 94 All the required variables are listed above from the given data 13 % Now the Vanderwall's Equation is implemented 15 work = -a*n*2.*((1./v2).-(1./vl)) + (-n*R. *log ( (v2.-n*b)./ (vl.-n*b)).*T) $$ I placed the second part of the equation first as when a n^2* (1/v2-1/vl) is computed would give a constant i.e. a single number as output. $$ Dot before an operator is used for doing elemental operations. 17 18 19 20 21 22 $ Similarly as stated above i have placed all the variables when computed would give a number first in second part of the equation. % I finally placed the temperature vector I at last with elemental multiplication operation to make elemental calculations for each value line: 22 col: 1 encoding: IBM868 eol: CRLF Пров е в это U: 0.00 MB/s 0 0 11:40 AM E

the results of the final modified code

Command Window в х >> pro5 work = -115.28 -153.50 -186.50 -215.74 40 o e Quinto . U: D: 0.00 MB/s 0.00 MB/s S ») 11:40 AM

number of dots in this code is 10.

hence all the parts of the question are clearly answered.