2. Consider a two-dimensional classical monatomic ideal gas. The gas consists of N indistinguishable particles of mass m

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2. Consider a two-dimensional classical monatomic ideal gas. The gas consists of N indistinguishable particles of mass m

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2 Consider A Two Dimensional Classical Monatomic Ideal Gas The Gas Consists Of N Indistinguishable Particles Of Mass M 1
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2. Consider a two-dimensional classical monatomic ideal gas. The gas consists of N indistinguishable particles of mass m. It is confined in a region of area A isolated from its environment and contains a constant energy E. [44 marks] (a) Determine the temperature of the system from the given energy E. (3 marks) (b) Calculate the single-particle density of states. (6 marks) (c) Calculate the single-particle partition function. (7 marks) (d) Calculate the Helmholtz free energy of the system. (4 marks) (e) Calculate the entropy of the system. (10 marks) (f) Calculate the chemical potential of the system. (8 marks) (g) Calculate the pressure of the system. (6 marks)
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