Transcription of Solutions to problems for Part 2
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1 Solutions to problems for Part 2 Sample Quiz ProblemsQuiz Problem 1. Write down the equation for the thermal de Broglie wavelength. Explain its importance in thestudy of classical and quantum =h 2 mkBT(1)This is of the formh/pT, wherepT= (2 mkBT)1/2is an average thermal momentum. Define the average interparticlespacing of a gasLc= (V/N)1/3. If > Lcquantum effects become important in the thermodynamics. Quiz Problem 2. Why are the factors 1/N! and 1/h3 Nintroduced into the derivation of the partition function ofthe ideal classical gas?
Explain why the heat capacity at constant volume of a nitrogen molecule is roughly 1:5Nk Bat 1Kbut 2:5Nk ... so the level spacing is large and this mode is not active at room temperature. The heat capacity at constant pressure is C P = C ... for both the non-relativistic and ultra-relativistic Bose gas. Solution.
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