Lab Assignment-Matlab 1 Note: You should write your solutions in a Word file and upload it to D2L. For each problem, you shall specify the commands you used in MATLAB as well as the solutions shown in MATLAB. This can be done by copying the text from MATLAB’s command window then paste them onto your Word file. Read chapters 1.1-1.5 of the textbook (Introduction to MATLAB 7 for Engineers), solve the following problems in MATLAB. Suppose that x=9 and y=7. Use MATLAB to compute the following, and check the results with a calculator. a) 1/(1-1/x^5 ) b) 3Πx^3 c) 4y/(5x-9) d) (3(y-7))/(9x-5) Assuming that the variables a, b, c, d, and f are scalars, write MATLAB statements to compute and display the following expressions. Test your statements for the values a=1.2, b=2.34, c=0.72, d=0.81, e= 1.29 and f=19.83. a) x=1+a/b+c/d^2 + e/f^3 b) s= (b-a+e)/(d-c+f) c) r=1/(1/a+1/b+1/c+1/d-1/f) d) ab/d f^2/2 The volume of a sphere is given by V= (4/3)*Πr^3, where r is the radius. Use MATLAB to compute the radius of a sphere having a volume 36 percent greater than that of a sphere of radius 4 ft. Suppose x takes on the values x=1, 1.2, 1.4…, 5. Use MATLAB to compute the array y that results from the function y=sin⁡〖(4x).〗 Use MATLAB to determine how many elements are in the array and the value of the third element in the array y. Use MATLAB to determine how many elements are in the array sin⁡(-π/2):0.05: cos⁡(0). Use MATLAB to determine the 10th element. Use MATLAB to calculate e^(〖(-2.5)〗^3 )+3.47 log⁡〖14+ ∜287〗 (3.4)^7 log⁡〖14+ ∜287〗 〖sin〗^2⁡(4.12Π/6) sin⁡〖(4.12Π/6)^2 〗 Use MATLAB to plot the functions u=2 log_10⁡(6x+5)and v=3 sin⁡(7x) over the interval 0≤x≤2. Properly label the plot and each curve. The variables u and v represent speed in miles per hour; the variable x represents distance in miles. Example1, Suppose that x = 2 and y = 5. Use MATLAB to compute the following. You should put the following in your Word file >> x = 2; >> y = 5; >>(y*x^3)/(x-y) ans = -13.3333 Example 2, Use MATLAB to plot the function Put a title on the plot and properly label the axes. The variable T represents temperature in degrees Celsius; the variable t represents time in minutes. You should report like the following: >> t=linspace(1,3,100); >> T=6*log(t)-7*exp(0.2*t); >> plot(t,T); >> xlabel(‘t (minutes)’); >> ylabel(‘T (^oC)’); >> title(‘Change of temperature with time’); Also paste the resultant figure in the Word file (select from the figure window: Edit .Copy Figure, then paste in your Word file), you should have

Lab Assignment-Matlab 1 Note: You should write your solutions in a Word file and upload it to D2L. For each problem, you shall specify the commands you used in MATLAB as well as the solutions shown in MATLAB. This can be done by copying the text from MATLAB’s command window then paste them onto your Word file. Read chapters 1.1-1.5 of the textbook (Introduction to MATLAB 7 for Engineers), solve the following problems in MATLAB. Suppose that x=9 and y=7. Use MATLAB to compute the following, and check the results with a calculator. a) 1/(1-1/x^5 ) b) 3Πx^3 c) 4y/(5x-9) d) (3(y-7))/(9x-5) Assuming that the variables a, b, c, d, and f are scalars, write MATLAB statements to compute and display the following expressions. Test your statements for the values a=1.2, b=2.34, c=0.72, d=0.81, e= 1.29 and f=19.83. a) x=1+a/b+c/d^2 + e/f^3 b) s= (b-a+e)/(d-c+f) c) r=1/(1/a+1/b+1/c+1/d-1/f) d) ab/d f^2/2 The volume of a sphere is given by V= (4/3)*Πr^3, where r is the radius. Use MATLAB to compute the radius of a sphere having a volume 36 percent greater than that of a sphere of radius 4 ft. Suppose x takes on the values x=1, 1.2, 1.4…, 5. Use MATLAB to compute the array y that results from the function y=sin⁡〖(4x).〗 Use MATLAB to determine how many elements are in the array and the value of the third element in the array y. Use MATLAB to determine how many elements are in the array sin⁡(-π/2):0.05: cos⁡(0). Use MATLAB to determine the 10th element. Use MATLAB to calculate e^(〖(-2.5)〗^3 )+3.47 log⁡〖14+ ∜287〗 (3.4)^7 log⁡〖14+ ∜287〗 〖sin〗^2⁡(4.12Π/6) sin⁡〖(4.12Π/6)^2 〗 Use MATLAB to plot the functions u=2 log_10⁡(6x+5)and v=3 sin⁡(7x) over the interval 0≤x≤2. Properly label the plot and each curve. The variables u and v represent speed in miles per hour; the variable x represents distance in miles. Example1, Suppose that x = 2 and y = 5. Use MATLAB to compute the following. You should put the following in your Word file >> x = 2; >> y = 5; >>(y*x^3)/(x-y) ans = -13.3333 Example 2, Use MATLAB to plot the function Put a title on the plot and properly label the axes. The variable T represents temperature in degrees Celsius; the variable t represents time in minutes. You should report like the following: >> t=linspace(1,3,100); >> T=6*log(t)-7*exp(0.2*t); >> plot(t,T); >> xlabel(‘t (minutes)’); >> ylabel(‘T (^oC)’); >> title(‘Change of temperature with time’); Also paste the resultant figure in the Word file (select from the figure window: Edit .Copy Figure, then paste in your Word file), you should have

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Please answer questions and then submit them in the assignment. Put your name in the document’s title. Eight points for questions 1-10, ten points each for questions 11 and 12. 1. What were the crusades, how did they begin, and how were they justified? 2. Describe the 1348 plague in Europe and how it changed human behavior. 3. What other calamities besides the plague occurred during the 14th century? What were the results? 4. What inventions during the middle ages and the Renaissance had the biggest impact on human culture in Western Europe? 5. What was a pilgrimage? Why did people go on them? 6. Describe what is happening in this image? Who is the central figure? Where might this image be located? How does it exemplify the era in which it was made? 7. Why was Socrates condemned to death? How did he handle his death sentence? What was the impact of his death for Athenians and the Western Heritage? 8. Name three Western legacies from ancient Egypt. How did the ancient Egyptians have a lasting impact on Western civilization? 9. How did Themistocles and the Greeks keep the Persians under Xerxes from invading? How did the trireme help? 10. Compare these two buildings. Identify them and say how they are alike and different and why we might want to know what they are. Where are they located? When were they constructed? What purposes did they serve? (5 points) 11. Compare ancient Rome and the contemporary United States. In what ways are the two superpowers similar? What are the similarities between their military strength, their colonization, the division of wealth, and their ways of appeasing the masses? In what ways did the Romans assume that assimilation to the Roman way would work for everyone they colonized? Has the U.S. done the same thing? In what ways is the Roman history different from the U.S. history of revolution against the British? Is the United States doomed to fail in the way ancient Rome did? 12. Compare the work of art you viewed in a museum with a work of text that we read in class or a work if art or architecture in the textbook. In what ways do they inform one another? In what ways can you connect the image with the text?

Please answer questions and then submit them in the assignment. Put your name in the document’s title. Eight points for questions 1-10, ten points each for questions 11 and 12. 1. What were the crusades, how did they begin, and how were they justified? 2. Describe the 1348 plague in Europe and how it changed human behavior. 3. What other calamities besides the plague occurred during the 14th century? What were the results? 4. What inventions during the middle ages and the Renaissance had the biggest impact on human culture in Western Europe? 5. What was a pilgrimage? Why did people go on them? 6. Describe what is happening in this image? Who is the central figure? Where might this image be located? How does it exemplify the era in which it was made? 7. Why was Socrates condemned to death? How did he handle his death sentence? What was the impact of his death for Athenians and the Western Heritage? 8. Name three Western legacies from ancient Egypt. How did the ancient Egyptians have a lasting impact on Western civilization? 9. How did Themistocles and the Greeks keep the Persians under Xerxes from invading? How did the trireme help? 10. Compare these two buildings. Identify them and say how they are alike and different and why we might want to know what they are. Where are they located? When were they constructed? What purposes did they serve? (5 points) 11. Compare ancient Rome and the contemporary United States. In what ways are the two superpowers similar? What are the similarities between their military strength, their colonization, the division of wealth, and their ways of appeasing the masses? In what ways did the Romans assume that assimilation to the Roman way would work for everyone they colonized? Has the U.S. done the same thing? In what ways is the Roman history different from the U.S. history of revolution against the British? Is the United States doomed to fail in the way ancient Rome did? 12. Compare the work of art you viewed in a museum with a work of text that we read in class or a work if art or architecture in the textbook. In what ways do they inform one another? In what ways can you connect the image with the text?

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The constant volume specific heat of air at 550 K, modeled as an ideal gas, is equal to [x]. Provide you answer to the exact number of digits as reported in the textbook, in units of kJ/(kg K).

The constant volume specific heat of air at 550 K, modeled as an ideal gas, is equal to [x]. Provide you answer to the exact number of digits as reported in the textbook, in units of kJ/(kg K).

Selected Answer: 0.753
EBIO/ECHM 100 – Homework #6 2015 Due Thursday October 8, 2015 1. Flow rates – in most bio- or chemical engineering problems, you will be working with flow rates rather than a singular amount of mass, moles or volume. When working with gases, a molar flow rate (mol/time) or a volumetric flow rate (volume/time) can be used in the ideal gas law. Consider a mixed gas consisting of 60% Hydrogen, 20% Nitrogen and 20% Carbon Monoxide (CO) which has a molar flow rate of 175 lbmol/min. The temperature is 200oF and pressure is 3 atm gauge. a. Calculate the individual molar flow rates of each component (mol/min) b. Calculate the total volumetric flow rate in ft3/min c. Determine the molar density of the mixed gas (mol/ft3) d. Determine the mass flow rate of the gas (g/min) e. Determine the mass fraction of hydrogen in the gas Read Section 6.5 of your textbook and/or watch the mini-lecture on statistics. That information will help you complete problems 2-4 In previous years, students in EBIO/ECHM 100 would test their ability to brew a repeatable batch of coffee. Let’s say you tried your best to brew three identical batches of coffee – you ground your own beans and measured exactly how many grounds you added to the pot. You took three samples from each batch and measured the absorbance. Representative data for the absorbance readings is given below. Batch 1 Batch 2 Batch 3 Measurement 1 0.343 0.374 0.327 Measurement 2 0.342 0.372 0.327 Measurement 3 0.371 0.375 0.328 2. For each batch of coffee (data in a vertical column), calculate the mean and standard deviation of the absorbance measurement of the three measurements taken from each batch (batch 1 has 3 absorbance measurements of .343, 0.342 and 0.371). Show at least one hand calculation on engineering paper, but you can do the rest in Excel if you wish, using the functions for average, =average(), and standard deviation, =stdev(). For example if you put data from batch 1 in column B, cells B2, B3 and B4 you could tell Excel to compute the average of those numbers by entering the equation =average(B2,B3,B4) in a neighboring cell. An alternate to way compute the average would be to type =(B2+B3+B4)/3. While you get the same answer with both methods, the second method become more cumbersome as your number of samples goes up. 3. Now, calculate the mean and standard deviation for the combination of all nine samples. 4. Why is the standard deviation calculated in #3 greater than those calculated in #2? Discuss this question in terms of experimental factors that could lead to scatter in your data (think back to the steps of making coffee and try to come up with at least 3 factors – these can address sample to sample variations or batch to batch variations). Staple the spreadsheet to the rest of your HW if using Excel. Adjust numbers so they report correct significant figures.

EBIO/ECHM 100 – Homework #6 2015 Due Thursday October 8, 2015 1. Flow rates – in most bio- or chemical engineering problems, you will be working with flow rates rather than a singular amount of mass, moles or volume. When working with gases, a molar flow rate (mol/time) or a volumetric flow rate (volume/time) can be used in the ideal gas law. Consider a mixed gas consisting of 60% Hydrogen, 20% Nitrogen and 20% Carbon Monoxide (CO) which has a molar flow rate of 175 lbmol/min. The temperature is 200oF and pressure is 3 atm gauge. a. Calculate the individual molar flow rates of each component (mol/min) b. Calculate the total volumetric flow rate in ft3/min c. Determine the molar density of the mixed gas (mol/ft3) d. Determine the mass flow rate of the gas (g/min) e. Determine the mass fraction of hydrogen in the gas Read Section 6.5 of your textbook and/or watch the mini-lecture on statistics. That information will help you complete problems 2-4 In previous years, students in EBIO/ECHM 100 would test their ability to brew a repeatable batch of coffee. Let’s say you tried your best to brew three identical batches of coffee – you ground your own beans and measured exactly how many grounds you added to the pot. You took three samples from each batch and measured the absorbance. Representative data for the absorbance readings is given below. Batch 1 Batch 2 Batch 3 Measurement 1 0.343 0.374 0.327 Measurement 2 0.342 0.372 0.327 Measurement 3 0.371 0.375 0.328 2. For each batch of coffee (data in a vertical column), calculate the mean and standard deviation of the absorbance measurement of the three measurements taken from each batch (batch 1 has 3 absorbance measurements of .343, 0.342 and 0.371). Show at least one hand calculation on engineering paper, but you can do the rest in Excel if you wish, using the functions for average, =average(), and standard deviation, =stdev(). For example if you put data from batch 1 in column B, cells B2, B3 and B4 you could tell Excel to compute the average of those numbers by entering the equation =average(B2,B3,B4) in a neighboring cell. An alternate to way compute the average would be to type =(B2+B3+B4)/3. While you get the same answer with both methods, the second method become more cumbersome as your number of samples goes up. 3. Now, calculate the mean and standard deviation for the combination of all nine samples. 4. Why is the standard deviation calculated in #3 greater than those calculated in #2? Discuss this question in terms of experimental factors that could lead to scatter in your data (think back to the steps of making coffee and try to come up with at least 3 factors – these can address sample to sample variations or batch to batch variations). Staple the spreadsheet to the rest of your HW if using Excel. Adjust numbers so they report correct significant figures.