Discuss the below:
Q: We have at our disposal an amount of energy equaling 3.5 kJ and we wish to allocate it in 1 mole of gas which occupies volume V
A) If the gas is oxygen in molecular form and can be regarded classical:
i) How much is its temperature?
ii) How much is the rms velocity of the molecules? i
ii) How much is the minimum volume of the vessel to validate the classical approach?
B) If the gas is consisted only by non-interacting electrons:
i) How much is the Fermi energy of the gas and which is its physical meaning?
ii) How much is the volume V of the vessel if we know that the gas in at zero temperature?
iii) Comment on qualitative difference of the above volumes.