2. The Debye Model of a Solid. a. Derive the molar heat capacity of a Debye solid as a function of temperature. State all assumptions, explaining each step. In your homework solution, do not ask your instructor to refer to lecture slides and do not copy or duplicate, line-by-line, any outlined solution in-class. Instead, expand and fill in any gaps in the solution to demonstrate your understanding of the material. b. Derive the heat capacity in the low-temperature limit and in the high-temperature limit (Derive the expressions for these limits). Interpret your results (meaning describe why your results makes sense or how it is connected to the real world)