Figure 12.57 shows a one-dimensional row of 5 microscopic objects each of mass 4 × 10−26 kg, connected by forces that
can be modeled by springs of stiffness 15 N/m. These objects can move only along the x axis.
(a) Using the Einstein model, calculate the approximate entropy of this system for total energy of 0, 1, 2, 3, 4, and 5
quanta. Think carefully about what the Einstein model is, and apply those concepts to this one-dimensional
situation.
(b) Calculate the approximate temperature of the system when the total energy is 4 quanta.
(c) Calculate the approximate specific heat capacity on a per-object basis when the total energy is 4 quanta.
(d) If the temperature is raised very high, what is the approximate specific heat capacity on a per-object basis? Give a
numerical value and compare with your result in part (c).