For an ideal diatomic gas, which of the following properties will be in error if the symmetry number in the rotational partition function is not specified correctly? Assume rotations can be treated in the high-temperature limit, but vibrations cannot. Demonstrate mathematically or otherwise clearly justify your answers. 
(a) Internal energy (b) Entropy (c) Pressure (d) Helmholtz free energy 

Additional Requirements 
Min Pages: 1 
Level of Detail: Show all work