The heat capacity at constant pressure of a gas is determined experimentally at several temperatures, with the following results:

(a) Calculate the heat (kW) required to raise 150 molls of the gas from 0?C to 600?C, using Simpson?s rule (Appendix A.3) to integrate the tabulated heat capacities.

(b) Use the method of least squares (Appendix A.1) to derive a linear expression for C (T) in the range 0?C to 600?C, and use this expression to estimate once again the heat (kW) required to raise 150 molts of the gas from 0?C to 600?C. If the estimates differ, in which one would you have more confidence and why

Transcribed Image Text:

T (°C) C,[J/(mol-°C)] 0 33.5 100 35.1 200 36.7 300 38.4 400 40.2 500 42.0 600 43.9