Assume that a room at sea level was filled with a gas of oxygen molecules O2 in thermal equilibrium at 0 °C. There are 8 protons and 8 neutrons in the nucleus of an oxygen atom O. You may take the masses of the proton and the neutron to be the same, and ignore the mass of the electrons. 1 atm=1.01х105 N/m2 , ℏ=1.05х10-34 J·s , mp=1.67х10-27 kg.
a) What would the (particle) number density be according to the ideal gas law?
b) Compare the number density with the quantum concentration at the same temperature.
c) Is the gas in the classical or quantum regime?