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ChE 365: Chemical Engineering Computing
Lecture 23
Gennady Gor
Department of Chemical and Materials Engineering
New Jersey Institute of Technology
November 22, 2022
G. Gor (NJIT)
ChE365
November 22, 2022
1/2
Revisiting Numerical Differentiation
The specific heat capacity at constant pressure CP of an ideal gas is
given by:

?H
CP =
(1)
?T P
The following data are provided for CO2 at several temperatures:
T = [750, 800, 900, 1000] (K)
H = [29.629, 32.179, 37.405, 42.769] (kJ/mol)
Use these data to determine the specific heat capacity for each of the
temperatures.
G. Gor (NJIT)
ChE365
November 22, 2022
2/2
In-class Activity
Use the Lagrange interpolation polynomials of the second order to
calculate CP = CP (T ) on the first three data points, and on the second
three data points. Plot the resulting heat capacity along with the one
calculated by forward finite difference.
G. Gor (NJIT)
ChE365
November 22, 2022
3/2

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