Please show every single step and box the answers

Material a (C-) c (J/(kg K)) C (J/(mol K)) Ly (J/kg) L. (J/kg) density (kg/m ) Gold 129 25 19,300 Copper 1.65x10-5 8,960 Aluminum 2.3x10-5 2,700 Stainless Steel 1.75x10-5 7,500 Water 4190 75 3.33x 105 22.6x105 1,000 Ethyl Alcohol 2400 110 1.09 x105 8.79x105 790 Ice 2090 37.6 917 1 atm = 1.01 x10 Pa NA = 6.022x 1023 particles/mol R = 8.3145 J/(mol K) KB = 1.38x10-23 J/K o = 5.67 x 10-8W/(mK*) 2. A bar made of an unknown metal is initially heated to 200.0 C before it is submerged into a thermally insulated tank filled with a 0 "C ice bath of 100.0 cm of liquid water and 20.0 grams of ice. Just before the rod is submerged into the ice bath you measure its length to be L = 1.0000m. a. If we model the bar as an ideal solid what is its theoretical molar specific heat? Explain why by using reasoning that follows from the equipartition theorem. b. After a sufficient amount of time has passed to establish thermal equilibrium between the metal bar and the bath you measure the temperature of the bar to be 50C. Using the result you found in part (a) find how many moles of unknown metal are in the bar. C. You now (just after measuring the temperature listed in part b) measure the length of the bar to be L = 0.9965m. What is the metal that most likely comprises the bar