Whether an atom of carbon have the same as one atom of oxygen.

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Chapter 18, Problem 8CQ

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Whether an atom of carbon have the same as one atom of oxygen.

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Assume that a room at sea level is filled with a gas of nitrogen molecules N2 in thermal equilibrium at -10.0 °C (negative ten degrees Celsius). There are 7 protons and 7 neutrons in the nucleus of a nitrogen atom N. You may take the masses of the proton and the neutron to be the same, and ignore the mass of the electrons. 1 atm=1.01x105 N/m² , h=1.05x10-34 J-s , mp=1.67x10-27 kg, kB = 1.38x10-23 J/K . a) What is the (particle) number density n according to the ideal gas law? b) Compare the number density n with the quantum concentration ng at the same temperature. c) Is the gas in the classical or quantum regime?

3) Assume that this room 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=1.01x105 N/m², h=1.05x10-34 J-s, mp=1.67x10-27 kg, ka=1.38x10-23 J/K. a) What would the (particle) number density, n, be according to the ideal gas law? b) Compare the number density with the quantum concentration, no, at the same temperature. Is the gas in the classical or quantum regime?