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

where ?v is the volume coefficient of thermal expansion, v0 is the specific volume (i.e., volume per unit mass, or the reciprocal of density), ? 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 ?v = 3?l and given that the values of ? for Cu and Ni are 8.35 x 10-12 and 5.51 x 10-12 (Pa)-1, respectively.

(19.10)