12.5 Show that the equation of state of the ideal Bose gas in the gas phase can be written in the form of a virial expansion, i.e., Pu 1 kT 1 1 4/2 8
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- the partition function of an ideal gas of diatomic molecules in an external electric field & is [g(V, T, 8)]" Q(N, V, T, 8) N! where (2mmkT 312 (87 IkT -hv/2kT e q(V,T, 8)= V{ h2 (kT' (µ8 sinh kT) h2 (1 – e-hv/kT) Here I is the moment of inertia of the molecule; v is its fundamental vibrational frequency; and u is its dipole moment. Using this partition function along with the thermodynamic relation, dA = -S dT –p dV – M de where M=Nū, where u is the average dipole moment of a molecule in the direction of the external field &, show that kT] coth kT, Sketch this result versus & from & =0 to & =∞ and interpret it.An ideal gas is confined to a constant volume container and heated from a pressure of 1 atm at room temperature to a pressure of 5 atm. What is the final temperature. Thank you for the help. I got 297K but I do not think that is it.What is the root-mean-square speed, in units of m/sec, of monatomic Ne atoms at a temperature of 24.1°C?