Using molecular and system partition functions it is possible to derive the Sackur-Tetrode equation, which allows the computation of absolute entropy from molecular parameters: 3/2 Te V (2лmkвT h² In this equation, the quantity V/N is sometimes written as 1/p. (a) Use this expression to compute the entropy due to translation for one mole of CO2 gas at 400 K, for which mco₂ = 44.01 Daltons, and its molar volume (pressure = 1 bar) is V = 0.03326 m³. (Note: 1 Dalton = 1.66053 × 10-²7 kg). Be careful with the computation- keep track of units and make sure that the argument of the LN function is unitless. Your answer should be between 100 and 200 J/K if you do everything correctly. S = {NkB + NkB In (b) If the mass of neon were twice as large (88 instead of 44 Daltons), by how much would the extra mass affect its translational entropy? Report the ratio of the entropy with the heavier mass to that found in part (a).

Using molecular and system partition functions it is possible to derive the Sackur-Tetrode equation, which allows the computation of absolute entropy from molecular parameters: 3/2 Te V (2лmkвT h² In this equation, the quantity V/N is sometimes written as 1/p. (a) Use this expression to compute the entropy due to translation for one mole of CO2 gas at 400 K, for which mco₂ = 44.01 Daltons, and its molar volume (pressure = 1 bar) is V = 0.03326 m³. (Note: 1 Dalton = 1.66053 × 10-²7 kg). Be careful with the computation- keep track of units and make sure that the argument of the LN function is unitless. Your answer should be between 100 and 200 J/K if you do everything correctly. S = {NkB + NkB In (b) If the mass of neon were twice as large (88 instead of 44 Daltons), by how much would the extra mass affect its translational entropy? Report the ratio of the entropy with the heavier mass to that found in part (a).