One approximation of this quantity involves taking the limit of the integral [read slowly] “x to the fourth times e to the x, [pause] over the quantity e to the x minus one squared” in a model of this quantity that (10[1])sets a (10[3])namesake temperature proportional to (10[1])the cube root of (10[1])“six pi squared times number (10[1])density”. Einstein’s model (10[3])of this quantity (10[1])with (10[1])a (10[3])lattice (10[3])of (10[2]-5[1])3D QHOs fails (10[1])to account (10[1]-5[1])for the cubic temperature dependence of this quantity observed in (10[2]-5[1])the Debye (10[1])(“duh-BYE”) model. (10[2])This (10[1])quantity’s high-temperature value is three times the (-5[1])ideal gas constant (-5[1])according to (10[1])the Dulong–Petit law. The adiabatic index is the ratio (-5[1])between this quantity’s constant-volume (10[1]-5[1])and constant-pressure (10[1])forms. For (-5[1])10 points, one (10[1]-5[1])calorie (10[1])per (10[2])gram (10[4])per degree (10[3])Kelvin (0[1])is water’s (10[2])value (10[7])of (10[1])what quantity, which measures how (10[1])much heat it (10[1])takes to increase an (10[5]0[2])object’s temperature? ■END■