Mathcad examples

For a broader comparison and user experiences with Mathcad and other mathematical software like MatLab, Mathematica, and so on, as well as introductions to use Mathcad, consult the Internet. A free 30-day-trial of Mathcad is available from wuw.ptc.com. For readers who do not have access to Mathcad, the files will also be made available in other formats (XPS, MathML, etc.). 

Besides the examples prepared for this textbook, a multitude of further calculations from different other authors using Mathcad can be found online, either in form of single files or complete books written in Mathcad. 

In addition, PTC, the provider ofMathcad, maintains a massive library of example calculations within their Mathcad Resource Center. 

Chemical Thermodynamics for Process Simulation. First Edition. 

Jurgen Gmehling, Barbel Kolbe, Michael Kleiber, and Jurgen Rarey. 

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Before posing the problem for this computer project, we shall introduce another vei y useful piece of microcomputer software by repeating the integration of Eq. (l-36a) with Mathcad (Appendix A). Like other software of this kind, there is a short learning process before mathcad can be used with ease. Once one has entered the equation of interest, mathcad solves it with a click on the = sign. In the present example, the constants of (Eq. l-36a) are entered followed by the desired integral... 

Alternative procedure Mathcad. Follow the procedure above except that where QMOBAS is indicated, use Mathcad instead. Enter the Huckel molecular orbital matrix, modified by subtracting xl, with some letter name. For example, call the modified matrix A. Type the command eigenvals(A) = with the name of the modified HMO matrix in parentheses. Mathcad prints the eigenvalues. The command eigenvecs(A) yields the eigenvectors, which are useful in ordering the energy spectrum. 

Here, since the measurements were done in an integral reactor, calculation must start with the Conversion vs. Temperature function. For an example see Appendix G. Calculation of kinetic constants starts with listed conversion values as vX and corresponding temperatures as vT in array forms. The Vectorize operator of Mathcad 6 tells the program to use the operators and functions with their scalar meanings, element by element. This way, operations that are usually illegal with vectors can be executed and a new vector formed. The v in these expressions indicates a vector. 

Example 1. One-dimensional simulation of apcm module in a water tank with MathCad... 

The specific software used for this pedagogical exercise is MathCad 2001i ( Math-Soft Engineering Education, Inc., 101 Main Street, Cambridge, MA 02142-1521), which we find particularly useful for describing the precise mathematics employed behind each set of examples. The mathematical tools used here may be employed whenever the assumptions of linear correlation are suspected or assumed for a set of X and... 

Note for this example that covar(X, Y) represents the covariance of (X, Y), stdev(X) is the standard deviation of the X data, and stdev(T) is the standard deviation of the Y data. For the MathCad program ( 1986-2001 MathSoft Engineering Education, Inc., 101 Main Street Cambridge, MA 02142-1521), the sldcvfW) is represented by the variable symbol Sr, which can be thought of as the set of many possible standard deviations for a set of data X. 

The steps described in the previous sections have been implemented, to varying degrees, in some commercial packages, for example, Maple (MapleSoft, Waterloo), Mathcad(MathSoft, Cambridge, MA), and Maxwell (Ansoft Corp., Pittsburgh), to name but a few. 

Parts (a) - (d) can be worked exactly as Example 4.7. However, with Mathcad capable of doing the iteration, it is simpler to proceed differently. 

It is impractical to provide solutions for all of the systems listed in the table on Page 474 we present as an example only the solution for the system l-propanol(l)/water(2). Solutions for the other systems can be obtained by rerunning the following Mathcad program with the appropriate parameter values substituted for those given. The file WILSON.mcd reproduces the table of Wilson parameters on Page 474 and includes the necessary Antoine coefficients. 

This example was developed as a MATHCAD 14 worksheet Mathcad is a registered trademark of Parametric Technology Corporation.)... 

As an example of a symbolic calculation. Fig. 5 displays a Mathcad solution of one 4X4 block of the secular determinant of a Hiickel molecular orbital calculation done in Exp. 41 for orf/ro-benzosemiquinone (compare with Table 41-2). Mathcad is a software package for numerical analysis but also makes use of a subset of the symbohc routines of Maple. The algebraic expansion of the determinant is generated and solved with two... 

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