MECH 227 Spring 2019 Comp. Project 1 Due: April 22, 2019 Problem 1.3 As part of a design calculat...
MECH 227 Spring 2019 Comp. Project 1 Due: April 22, 2019 Problem 1.3 As part of a design calculation, you must evaluate an enthalpy change for an obscure organic vapor that is to be cooled from 1800 °C to 150 °C in a heat ezchanger. You search through all the standard references for tabulated enthalpy or heat capacity dato for the vapor but have no luck at all until you finally stumble on an article in the May 1922 Anarctic Journal of Obscure Organic Vapors that contains a plot of Cp (cal/g C on a logarithmic scale us. ToC1o6 on a linear scale. The plot is a straight line through the points (Cp 0.329, T1 7.1) and (C 0.533, T/2 17.3) 1. Derive a relationship for Cp as a function of T. 2. Suppose the relationship in part 1 turns out to be Cp 0.235e0 and that you wish to evaluate AH over the temperature interval specified. (a) Evalute the integral for ΔΗ analytically. You may need to use a table of integrals to do this. (b) Use Python or Matlab/Octave to evaluate the integral via Simpson's rule. You can use the integration packages for this if you would like. Do this using 11 equally spaced points from 1800 °C to 150 °C then repeat this using 101 points. What can you conclude about the accuracy of the calculation?
MECH 227 Spring 2019 Comp. Project 1 Due: April 22, 2019 Problem 1.3 As part of a design calculation, you must evaluate an enthalpy change for an obscure organic vapor that is to be cooled from 1800 °C to 150 °C in a heat ezchanger. You search through all the standard references for tabulated enthalpy or heat capacity dato for the vapor but have no luck at all until you finally stumble on an article in the May 1922 Anarctic Journal of Obscure Organic Vapors that contains a plot of Cp (cal/g C on a logarithmic scale us. ToC1o6 on a linear scale. The plot is a straight line through the points (Cp 0.329, T1 7.1) and (C 0.533, T/2 17.3) 1. Derive a relationship for Cp as a function of T. 2. Suppose the relationship in part 1 turns out to be Cp 0.235e0 and that you wish to evaluate AH over the temperature interval specified. (a) Evalute the integral for ΔΗ analytically. You may need to use a table of integrals to do this. (b) Use Python or Matlab/Octave to evaluate the integral via Simpson's rule. You can use the integration packages for this if you would like. Do this using 11 equally spaced points from 1800 °C to 150 °C then repeat this using 101 points. What can you conclude about the accuracy of the calculation?