2.24 Measured data for pressure versus volume during the compression of a refrigerant within the cylinder of a refrigeration compressor are given in the table below. Using data from the table, complete the following:

(a) [5 pts] Determine a value of n such that the data are fit by an equation of the form pV . n constant

(b) [5] Plot the data and the curve fit from part a as a plot of pressure versus volume.

(c) [4] Evaluate analytically the work done on the refrigerant, in Btu, using W (Eq. 2.17) along with d V1 V2 p V the result of part (a).

(d) [4] Using graphical or numerical integration of the data, evaluate the work done on the refrigerant, in Btu.

(e) [2] Compare the different methods for estimating the work used in parts (b) and (c). Why are they estimates?

p v

(lbf/in^2) (in^3)

142. 17.0

172 15.0

213 13.0

274 11.0

370 9.0

540 7.0