PS9_assigns_10-1 - 3 /g/min? Use a graph to illustrate...

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ChE 230 Spring 2010 Problem Set 9 – 04/13/10 - 04/20/10 1. The mass balance for a chemical in a completely mixed reactor can be written as 2 kVC QC F dt dC V = where V = reactor volume (10 m 3 ), C = concentration (g/m 3 ), F = feed rate (200 g/min), Q = flow rate (1m 3 /min), and k = second order rate constant (0.1 m 3 /g/min). Take C= 0 at t = 0 as the starting point. a) Using Euler’s method and a step size of 0.5 min, determine the value of C for the first three iterations using hand calculations. b) Repeat a using Huen’s method. c) Using Polymath to model the problem, how long does it take until the concentration (to 3 significant figures) reaches a value of 13.6 g/m 3 ? d) What is the overall effect of increasing the rate constant to k = 0.5 m
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Unformatted text preview: 3 /g/min? Use a graph to illustrate this. 2. Solve the following ODE numerically: y 5 dt dy 5 . dt y d 2 2 = + subject to the boundary conditions y(0) = 4 and y (0) = 0 for t = 0 to 5. a) Use polymath to solve the problem. Plot the results in using Excel. b) Use Eulers method. Set up the problem in Excel (just the way you would if you were doing this by hand) so that you can easily change the step size and plot the results. Plot the results for two different step sizes, h = 0.1 and h = 0.01. How do these results differ and how do they compare with the result from part a?...
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This note was uploaded on 05/14/2010 for the course CHE 230 taught by Professor Stinespring during the Spring '10 term at WVU.

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