Half of kmole of imaginary (invented) diatomic gas at a low pressure of 2×103 Pa (approx....

Half of kmole of imaginary (invented) diatomic gas at a low pressure of 2×103 Pa (approx. 0.02 atm) and a temperature P = 520K (see table for personalized parameters). Characteristic vibrational temperature for molecule θvib=780 K (see table for personalized parameters) and rotational temperature θrot = 20.9 K (see table for personalized parameters). (i) What is the total internal energy of the gas and its three components due to (1) translational, (2) rotational and (3) vibrational motions? Do we actually need to know the pressure? (ii) Calculate a total heat capacity CV and a contribution to CV from each of the three components. (iii) When the same gas is heated to 10000K, practically all the molecules are dissociated into atoms, and 30% (see table for personalized parameters) of atoms are ionized (creating one electron and positively charged ion). What is the heat capacity of the gas in this case?

Expert Solution

Each translation contributes 1/2 k T

Each rotation contributes 1/2 k T

Each vibration contributes k T

to internal energy

genius_generous answered 2 years ago

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