Here we calculate the partition function, molar translational internal energy, and molar translational entropy of a monatomic gas. The single particle translational partition function is qtrans=VΛ3) where Λ is the thermal wavelength and teh entropy is given by the Sackur-Tetrode equation S=N*kB*ln((qtrans*e^5/2)/N).
A. Calculate the single particle translational partition function q for neon gas at T=298K and V=22.4L. Assume neon behaves ideally.
B. Based on your answer in Part A, calculate the molar translational internal energy of neon at at T=298K.
C. Using your answer in part A, calculate the molar translational entropy for neon.
D. Calculate the molar translational entropy change ΔS if the temperature of one mole of neon gas is increased to 500K and the volume is doubled from the value in part A..
E. The molar entropy change of an ideal monatomic gas was given when the temperature changes from T1 to T2 and the volume changes from V1 to V2.. Using this equation in terms of the inital and final tempertures, the initial and final volumes, and R, calculate the molar entropy change when the temperature of an ideal monatomic gas changes from T=298K to T=500K and the volume doubles.
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