(3) Partition function of an ideal gas comprising N particles of mass m in a volume V, which is in equilibrium with a heat bath at temperature T (or B = 1/kT), was calculated in lecture as: VN Z = (2πmkT) 3 N/2 VN 3N/2 m N!h3N N! (2nh?ß, using the integral f e-cx2 Now consider an ideal gas comprising N particles of two-atom molecule of mass m. Kinetic energy is separated as E = Etransl + Erot, Wwhere 1 Etransl 1 1 (Pi + p3 + p?); Erot =7(Pổ + P),0soST,0s PS 2n. (på + ),0 < 0 < T,0 < p< 2n. 2m 21 sin? 0 (a) Calculate the partition function for ideal gas comprising two-atom molecules. (b) Calculate the heat capacity.

(3) Partition function of an ideal gas comprising N particles of mass m in a volume V, which is in equilibrium with a heat bath at temperature T (or B = 1/kT), was calculated in lecture as: VN Z = (2πmkT) 3 N/2 VN 3N/2 m N!h3N N! (2nh?ß, using the integral f e-cx2 Now consider an ideal gas comprising N particles of two-atom molecule of mass m. Kinetic energy is separated as E = Etransl + Erot, Wwhere 1 Etransl 1 1 (Pi + p3 + p?); Erot =7(Pổ + P),0soST,0s PS 2n. (på + ),0 < 0 < T,0 < p< 2n. 2m 21 sin? 0 (a) Calculate the partition function for ideal gas comprising two-atom molecules. (b) Calculate the heat capacity.