Page 517 - Modelling in Transport Phenomena A Conceptual Approach

A.5. NUMERJCA-L DFFERENTIATION 497

100 2687.5
200 2879.5
300 3076.5
400 3279.6
500 3489.1
600 3705.4
700 3928.7
800 4159.0
900 4396.4
1000 4640.0
1100 4891.2

Solution

The heat capacity at constant pressure, Cp, is defined as
Cp = (g)

P
Therefore, detewnination of Cp requires numerical diflerentiation of the H versus
T data.
Graphical method
The plot of H versus T is given in the figure shown below. The slope of the tangent
to the cume at T = 500 "C gives Cp = 2.12 J/ g. K.