Please prepare solutions to the following problems. Show your work! 1 Problem 16-1 The partition function of an Einstein solid is where HE is the Einstein temperature. Treat the crystalline lattice as an assembly of 3N distinguishable oscillators. 1.1 3 Calculate the Helmholtz function F. 1.2 b Calculate the entropy S. 1.3 c Show that the entropy approaches zero as the temperature goes to absolute zero. Show that at high temperatures. 5' m SNHI + ln{Tft9E]]. Sketch Still-WC as a function of T/HE