The difference between the specific heats at constant pressure

The difference between the specific heats at constant pressure

The difference between the specific heats at constant pressure and volume is described by the expression


where av is the volume coefficient of thermal expansion, v0 is the specific volume (i.e., volume per unit mass, or the reciprocal of density), ß is the compressibility, and T is the absolute temperature. Compute the values of cv at room temperature (293 K) for copper and nickel using the data in Table 19.1, assuming that av = 3al and given that the values of ß for Cu and Ni are 8.35 x 10-12 and 5.51 x 10-12 (Pa)-1, respectively.