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by: Mr. Ari Spencer


Mr. Ari Spencer
GPA 3.71

John Swinnea

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John Swinnea
Class Notes
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This 2 page Class Notes was uploaded by Mr. Ari Spencer on Sunday September 6, 2015. The Class Notes belongs to CHE 210 at University of Texas at Austin taught by John Swinnea in Fall. Since its upload, it has received 13 views. For similar materials see /class/181659/che-210-university-of-texas-at-austin in Chemical Engineering at University of Texas at Austin.

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Date Created: 09/06/15
COCKRELL SCHOOL OF ENGINEERING THE UNIVERSITY OF TEXAS AT AUSTIN McKetta Department afChemical Engineering Austin Texas 787121062 512 4715238 ChE 219 Homework 11 Due Monday April 29 in class Roots and Minimums of Functions MATLAB Function Functions These problems test understanding of fzero fminbnd globals and anonymous function calls For all problems turn in a copy of command line work and any mfiles generated and any plots requested The Peng Robinson P R Equation of State was introduced in 1976 as a modification of van der Naals equation of state It incorporated a factor w the accentric factor that helps to account for non spherical molecules The equation written in function form is 10 PREOSPVTP RT 2 V b V 2bV b2 a 045723511222 P c b 0077796RTE P c 2 a 1K1 f K 037464 154226w 026992a2 T T1 where TC and PC are the critical temperature and pressure of a substance and w is the substance s accentric factor I is the specific volume volumemole Note that the P R equation can be solved directly for the pressure if we move P to the other side of the equal sign but is non linear for both T and V 1 Using fzero determine the molar volume of ammonia TC4955K Pc111325atm w9252698 at a temperature of 699K and pressure of 19atm The universal gas constant R is 998296 liter atmgmole K Since they are substance constants make TC PC and w as well as R global constants Write your function in the form preosPVT where units are atm litermole and K 2 Find the molar volume of carbon monoxide TC13292K Pc34532atm w9948162 at the same conditions as problem 1 W Using the same function find the temperature at which the molar volume is 4 litergmole at a pressure of 19 atm for carbon monoxide 4s The specific growth rate of a yeast strain that produces an important antibiotic is a function of its food concentration 20 g 408cc2 0203 The growth rate goes to zero at low food concentrations due to food limitation and also goes to zero at high food concentrations due to toxicity effects Write a function growthc that calculates growth rate for a given food concentration Plot growth rates units are d39 versus food concentration units are mgliter Then use fminbnd to find the food concentration that gives the maximum growth rate and then use the function to find the value of the maximum rate Print your mfile the command line work and your plot EXTRA CREDIT 75 points The compressibility of a gas is defined as the actual or predicted volume of the gas divided by the Ideal Gas volume For the PR equation this is just PVHwRY where DEW is the molar volume predicted by the PR equation Write a script that calculates the compressibility of carbon monoxide from leatm to 499atm pressure at 9 C in increments of leatm The compressibilities should be saved in a vector as the script is to prepare a properly labeled plot of compressibility versus pressure as its final output


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