# We Helped With This MATLAB Programming Homework: Have A Similar One?

SOLVED Category Programming MATLAB Undergraduate Solved Matlab Programming Experts

## Short Assignment Requirements

write the solutions in the command window and then copy it to word. It should be an easy homework. Please be as fast as possible. Thank you.

## Assignment Description

1.    (10 points) Consider the following matrices:

A =      3          2          8                                  B =      4          2          5          6

-5         6          0                                              -3        0          7          1

8          -4         9          16

a.    Determine the sum and product of each matrix column using built-in MATLAB matrix functions

b.    Multiply each element of A by 3 and divide each element of B by 4.

c.    Multiply matrix A by matrix B.  Save your answer as a new matrix, C

2.    (15 points) In heat transfer, radiation emitted from a black body (an object that does not reflect any light) is measured by the Stefan-Boltzmann law: Where E is the emittance (in W/m2), T is temperature (in Kelvin), and σ is the Stefan-Boltzmann constant, 5.67*10-8 W/(m2K4).  Write a function (.m file) that solves for the temperature of a black body that emits 6000 W/m2.  Round your answer to the nearest integer.

HINT: Use the nthroot function when solving for T.

3.    (20 points) Consider a generic chemical reaction, A à B + C, where a compound dissociates into two products.   The concentration, c, of component A is measured at 10-minute time (t) intervals, as shown in the table below:

 t, min 10 20 30 40 50 60 c, ppm 3.4 2.6 1.6 1.3 1 0.5

The engineer analyzing the data creates the following model equation to approximate the concentration for any value of t: It is common practice in science and engineering to plot discrete data points using symbols or markers, and to plot a mathematical model function using a continuous line. Therefore:

a.    Plot the data using magenta diamond-shaped markers

b.    Plot the model on the same graph using a solid green line

Be sure to include a legend, axis labels, axis limits, and an appropriate chart title.

4.    (25 points) The “butterfly curve” is a famous set of parametric equations, which are shown below:  a.    Create an array for t that ranges from 0 to 100 in intervals of 1/16 (or 0.0625)

b.    Generate x and y values using your t vector.  Note: You MUST use the element-by-element multiplication and exponentiation commands (.* & .^, respectively) rather than just the star (*) or carat (^)

c.    Plot x vs. t and y vs. t on the same figure.  Use a solid blue line x and a solid red line for y, along with a legend and appropriate chart & axis titles.

d.    Using the subplot command, stack your plot from part c on top of a plot of y vs. x.  Give this plot a title and axis labels as well. Can you see where the name “butterfly curve” comes from?!

5.    (25 points) The vapor pressure of a component as a function of temperature can be predicted from the Antoine Equation: Where:

A, B, and C are constants for a given component

T is the Temperature in Kelvin

P* is the Vapor Pressure in mm Hg

a.    Write a main program (.m file) in MATLAB that will calculate the vapor pressures of benzene between 300-600 Kelvin in increments of 30 K. The program should call a single function (separate .m file) called antoine, which will pass the Antoine constants and return (output) P* for each calculation of the vapor pressure.

The user should be prompted to enter a 1 or a 2 to select the type of loop used for the problem. Use a switch structure to solve the problem for either case - when case 1 is selected, a for loop should execute; when case 2 is selected, a while loop should run.  In both cases, store the values of the temperature and pressure in a matrix

b.    Use fprintf statements to print the your matrix as a table with the following headings:

Benzene

Temperature                Vapor Pressure

(deg. Celsius)                    (mm Hg)

Remember to convert from Kelvin to degrees Celsius.

c.    Finally, plot the vapor pressures as a function of temperature on a single plot, which is labeled appropriately.  Use data markers of your choosing rather than a continuous curve.

Constants for Antoine Equation:

A                                 B                     C

Benzene                                15.9008                      2788.1            -52.36

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